Multi-Objective Cross-Layer Optimization with Pareto Method for Relay Selection in Multihop Wireless Ad hoc Networks.

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Print ISSN: 1109-2742 E-ISSN: 2224-2864

Volume 12, 2013

Issue 1, Volume 12, January 2013

Title of the Paper: Algorithmic Vertical Handoff Decision and Merit Network Selection Across Heterogeneous Wireless Networks

Authors: Sunisa Kunarak, Raungrong Suleesathira

Abstract: Next generation wireless networks must be able to coordinate services between heterogeneous networks through multi-mode mobile terminals. Such heterogeneity poses a challenge to seamless handover since each access network has different operations. In this paper, the policies of multiple metrics for handoff to permit connectivity across UMTS and WLAN/WiMAX are designed. Moreover, how to select an optimal target network is an important issue to balance against the network condition and user preference. The considered metrics for handoff initiation include the predicted received signal strength (RSS) of neighbor networks and dwell time. The RSS is predicted by back propagation neural network which is beneficial to perform handoff early. Dwell time value depends on the user speed and moving pattern. The policy for triggering a handoff is that the RSS conditions are consistently true during dwell time, so that unnecessary handoffs are avoidable. The predictive RSS and current RSS conditions have different policies for real time and non-real time services in different networks. Policies in the merit function are presented to select an optimal network. The weighting factors in the merit function are dynamic to neighbor networks. To evaluate the algorithm, RSS prediction, network selection performance and handoff decision performance are considered. The results indicate that the proposed vertical handoff decision algorithm and network selection outperforms the other two approaches in performing handoff earlier and reducing the number of vertical handoffs, connection dropping, Grade of Service (GoS) while increasing the average utilization per call of WLAN/WiMAX networks.

Keywords: Dwell time, Handoff decision policy, Heterogeneous wireless network, Network selection, Vertical handoff

Title of the Paper: Performance Analysis and PAPR Reduction of Coded OFDM (with RS-CC and Turbo coding) System using Modified SLM, PTS and DHT Pre-coding in Fading Environments

Authors: Alok Joshi, Davinder S. Saini

Abstract: In wireless communication, parallel transmission of symbols using multi

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carriers is used to achieve high efficiency in terms of throughput and better transmission quality. Orthogonal Frequency Division Multiplexing (OFDM) is one of the techniques for parallel transmission of information. In multipath environment the performance of orthogonal frequency division multiplexing degrades which can be improved by introducing some kind of channel coding. Coded OFDM (COFDM) is the new candidate for application such as Digital audio Broadcast (DAB) and Digital Video Broadcast (DVB-T) due to its better performance in fading environments. However high peak to average power ratio (PAPR) is a major demerit of OFDM system, it leads to increased complexity and reduced efficiency of RF amplifier circuit. In this paper Modified Selective mapping (SLM), Partial Transmit sequence (PTS) and Discrete Hartley Transform (DHT) precoding schemes are proposed for PAPR reduction, where SLM, PTS and DHT precoding schemes are used in conjunction with post clipping and filtering processes. However clipping can degrade the BER performance but the degradation in performance can be compensated by using OFDM with channel coding; here we have used Reed Solomon (RS) codes along with convolution codes (CC) used as serial concatenation and TURBO codes as parallel concatenation code for channel coding purpose. The BER performances are simulated for Additive white Gaussian (AWGN), Rayleigh, Rician and Nakagami (m=3) channels and Complementary cumulative distribution functions (CCDF) curves are simulated for modified as well as ordinary SLM, PTS and DHT precoding techniques. The COFDM system implemented here is as per IEEE 802.11a.

Keywords: RS-CC codes, Turbo codes, Rayleigh, Rician, Nakagami-m, DHT pre-coding, PAPR, PTS, SLM, Clipping- filtering

Title of the Paper: OVSF based Fair and Multiplexed Priority Calls Assignment CDMA Networks

Authors: Vipin Balyan, Davinder S. Saini, Gunjan Gupta

Abstract: Code division multiple access (CDMA) networks uses orthogonal variable spreading factor (OVSF) codes to support different transmission rates for different users which suffers from code blocking limitation. Multiplexing in digitized world is used for data selection. In this paper, calls are multiplexed to share the capacity of the network fairly and with priority using OVSF codes for assignment. A multiplexer is used to provide each call their share of capacity. The different layers shares their capacity with other layer in order to minimize code blocking. Simulation results prove dominance and fairness of our design over other novel schemes.

Keywords: OVSF codes, code blocking, code searches, single code assignment, single code assignment, wastage capacity

Issue 2, Volume 12, February 2013

Title of the Paper: Performance of Selected Diversity Techniques over the α-µ

Fading Channels

Authors: Taimour Aldalgamouni, Amer M. Magableh, Ahmad Al-Hubaishi

Abstract: In this paper, approximate closed-form expressions for the bit error rate (BER) of M-ary quadrature amplitude modulation (MQAM) and M-ary phase shift keying (MPSK) are derived considering independent and identically distributed (i.i.d)

α-µ fading channels with a maximal ratio combining (MRC) receiver. Moreover, other closed-form expressions are obtained for the symbol error rate (SER) of both MQAM and MPSK under the same channel conditions considering dual branch selection combining (SC) receiver. The derivations for MRC are based on the exponential approximation of the coherent BER formula for both MQAM and MPSK. For dual branch SC, the derivations are based on very accurate SER approximation for both MQAM and MPSK. The derived expressions can reduce to study the BER performance over other fading channels such as; Rayleigh, Weibull, and Nakagami-m, as special


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cases. Numerical results are also provided for the derived expressions and they show close match with Monte-Carlo simulations, especially for the case of dual branch SC. Keywords: Maximum Ratio Combining (MRC), Selection Combining (SC), the -µ fading channel, generalized fading model, M-ary Quadrature Amplitude Modulation (MQAM), M-ary Phase Shift Keying (MPSK), Bit Error Rate (BER), and Symbol Error Rate (SER).

Title of the Paper: Performance Comparison of Spreading Codes in Linear Multi-User Detectors for DS-CDMA System

Authors: J. Ravindrababu, E. V. Krishna Rao

Abstract: Direct Sequence Code Division Multiple Access (DS-CDMA) system is well known wireless technology. This system suffers from MAI (Multiple Access Interference) caused by Direct Sequence users. Multi-User Detection schemes were introduced to detect the users’ data in presence of MAI. Linear Multi-user Detectors and conventional Matched Filter (MF) are simulated using gold, PN and even kasami sequences as spreading codes in DS-CDMA system. In this paper odd kasami sequence is proposed. For this, odd kasami sequence of length L=2m which inclusive of initial bit, The Bit Error Rate (BER) performance of MMSE Detector provides better than Decorrelating detector and conventional Matched filter. Comparative Study shows that the proposed odd kasami sequence is better performed than gold, PN and even kasami sequences in linear Multi-user Detectors and conventional Matched Filter (MF).

Keywords: Multi-user detection, Matched filter, Decorrelating detector, MMSE, DS-CDMA, PN sequence, gold sequence, even kasami sequence and odd kasami sequence

Title of the Paper: Three-Dimensional Model of Cylindrical Monopole Plasma Antenna Driven by Surface Wave

Authors: Zili Chen, Anshi Zhu, Junwei Lv

Abstract: In the recent research on cylindrical monopole plasma antenna excited by surface wave, several basal theoretical problems for the radiation of plasma antenna are investigated. Many meaningful results about plasmas antenna, e.g. the analysis of physical characteristics, numerical calculation methods, software simulation, diagnosis of parameters, etc. have already been obtained. As known that the plasma antennas have reconfigurable properties and many physical parameters of plasma antenna are governed by the applied electromagnetic field and actual coupling method, so model research of plasma antenna is very necessarily in its further investigations and applications. But the precise model of monopole plasma antenna according to its three-dimensional structure has not been proposed yet, the three-dimensional model is proposed in the paper, three-dimensional distributions of electric and magnetic fields around monopole plasma antenna are analyzed. The related formulas and equations of the model are derived by applying molecular dynamic theories and Maxwell-Boltzmann equations; in addition, numerical simulation methods are adopted to verify validity of the proposed model.

Keywords: Cylindrical Monopole Plasma Antenna; Surface wave; Three-Dimensional Model; Calculation

Issue 3, Volume 12, March 2013


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Authors: H. Abdul Shabeer, R. S. D.Wahida Banu

Abstract: Telecommunication industry is the world's fastest growing industry with 5.3 billion mobile subscribers (that's 77 percent of the world population) around the globe. This significant rise in cellular phone use has served as the catalyst for major road accidents. They can be extremely distracting and cause careless and unavoidable accidents. Many people have been injured and even killed because of wireless customers and their over-bearing cell phones. With the aim of preventing such types of accidents, we propose a highly efficient automatic electronic system for early detection of incoming or outgoing call, an antenna located on the top of driver seat used for detecting when the driver uses mobile phone and an safety application named (Profile Changer) has developed using J2ME that will automatically loaded on the drivers cell phone which helps in reducing the risk of accidents from occurring, while also ensuring the user need not worry about missing urgent calls. We have extended our research by evaluating the outcome obtained with 2010 study from the US National Safety Council and we have also shown the extent to which this application helps to reduce economic losses in India.

Keywords: Mobile application to prevent accidents; cell phone while driving; Indian Economic loss due to cell phone accidents, Driver detection, Distraction

Title of the Paper: Multi-Objective Cross-Layer Optimization with Pareto Method for Relay Selection in Multihop Wireless Ad hoc Networks

Authors: Nyoman Gunantara, Gamantyo Hendrantoro

Abstract: The focus of this paper is cross layer optimization of relay selection on multihop wireless ad hoc networks. Cross-layer metrics that will be optimized are power consumption, throughput, and load balancing in wireless ad hoc networks for the outdoor and indoor configurations. Those three resources (performance indicators) are optimized using the multi objective optimization with Pareto method. The results obtained apply a dynamic ad hoc network model and optimization can be done simultaneously to all three resources which are optimized based on the route or path. Several alternatives in the relay selection are shown in the following simulation. The selection of the optimal relay can be based on one or a combination of the three performance indicators. The performance of the optimal relay selection in the field of POF (Pareto Optimal Front) is shown by the shortest Euclidean distance. The result of optimization for indoor and outdoor multihop ad hoc networks with three performance indicators is shown.

Keywords: Multi Objective Optimization, Cross Layer, Pareto Method, Relay Selection, Euclidean Distance, Multihop Wireless Ad hoc Networks, Performance Indicator, Outdoor and Indoor Configuration

Title of the Paper: An Agent-Assisted Fuzzy Cost Based Multicast QoS Routing in MANETs

Authors: G. Santhi, Alamelu Nachiappan

Abstract: Multicast routing and provision of QoS (Quality of Service) are challenging problems due to the dynamic topology and limited resources in Mobile Ad hoc Networks (MANETs). This paper proposes an agent based QoS routing algorithm that employs fuzzy logic to select an optimal path by considering multiple independent QoS metrics such as buffer occupancy rate, remaining battery capacity of a mobile node number of hops. In this method all the available resources of the path is converted into a single metric fuzzy cost. This is based on multi-criterion objective fuzzy measure. The path with the minimum fuzzy cost is used for the transmission.


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Here, the intelligent software agents move around the network and collect information of all mobile nodes. These agents can reduce the network delay and participate in network routing and route maintenance. The performance of the proposed Agent assisted Fuzzy cost based Multiobjective QoS Routing protocol (Agent_FCMQR) is compared with E-AOFR (Evolutionary Ad hoc On demand Fuzzy Routing) and MQRFT (Multi metric QoS routing based on Fuzzy Theory) and the simulation results show that the proposed protocol is superior over existing intelligence based routing protocols.

Keywords: MANETs, multicast routing, Quality of Service, mobile agents, multi-objective, fuzzy cost

Title of the Paper: Implementation of Generalized Detector in MIMO Radar Systems

Authors: Vyacheslav Tuzlukov

Abstract: In this paper, we consider the problem of multiple-input multiple-output (MIMO) radars employing the generalized detector (GD) based on the generalized approach to signal processing in noise (GASP) and using the space-time coding to achieve a desired diversity. To that end, we derive a suitable GD structure after briefly outlining the model of the received target return signal. GD performance is expressed in closed form as a function of the clutter statistical properties and of the space-time code matrix. We investigate a particular case when GD requires a priori knowledge of the clutter covariance, i.e., the decision statistics under the null hypothesis of “a no” target is an ancillary statistic in the sense that it depends on the actual clutter covariance matrix but its probability density function (pdf) is functionally independent of such a matrix. Therefore, threshold setting is feasible with no a priori knowledge as to the clutter power spectrum. As to the detection performance, a general integral form of the probability of detection is provided, holding independent of the searched object fluctuation model. The formula is not analytically manageable, nor does it appear to admit general approximate expressions, which allow giving an insightful look in the MIMO radar system behaviour. We thus restrict our attention to the case of Rayleigh-distributed target attenuation (Swerling-1 model). To code construction we use an information-theoretic approach and compare conditions for code optimality with ones for classical Chernoff bound. This approach offers a methodological framework for space-time coding in MIMO radar systems constructed based on GASP, as well as simple and intuitive bounds for performance prediction.

Keywords: Generalized detector, multiple-input multiple-output (MIMO), Rayleigh fading, Chernoff bound, generalized approach to signal processing, Swerling-1 model

Title of the Paper: A Modified PTS Combined with Interleaving and Pulse Shaping Method Based on PAPR Reduction for STBC MIMO-OFDM System

Authors: P. Mukunthan, P. Dananjayan

Abstract: Multiple input multiple output orthogonal frequency division multiplexing (MIMO-OFDM) system have been proposed in the recent past for providing high data-rate services over wireless channels. When combined with space time coding it provides the advantages of space-time coding and OFDM, resulting in a spectrally efficient wideband communication system. However, MIMO-OFDM system suffer with the problem of inherent high peak-to-average power ratio (PAPR) due to the intersymbol interference between the subcarriers. To overcome this problem, the partial transmit sequence (PTS) based on PAPR reduction by optimally combining signal subblocks and the phase rotation factors is considered. As the number of subblocks and rotation factors increases, PAPR reduction improves. The number of calculation increases as the number of subblocks increases, such that complexity increases exponentially and the process delay occur simultaneously. In this paper,


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PAPR reduction schemes based on a modified PTS combined with interleaving and pulse shaping method for STBC MIMO-OFDM system has been presented. The paper analyses the influence of the number of the detected peaks on PAPR reduction performance and on complexity, and then obtain the optimal parameter to achieve better PAPR reduction performance and lower complexity. Simulation results show that the proposed modified PTS with interleaving and the pulse shaping method can obviously improve PAPR performance in the MIMO-OFDM system.

Keywords: MIMO-OFDM, PAPR, STBC, Partial Transmit Sequences, Interleaved Subblock Partition Scheme, Raised-Cosine pulse shape

Issue 4, Volume 12, April 2013

Title of the Paper: Performance Analysis, Improvement and Complexity Reduction in Multi Stage Multi-User Detector with Parallel Interference Cancellation for DS-CDMA System Using Odd Kasami Sequence

Authors: J. Ravindrababu, E. V. Krishna Rao

Abstract: Direct Sequence Code Division Multiple Access (DS-CDMA) system is well known wireless technology. This system suffers from MAI (Multiple Access Interference) caused by Direct Sequence users. Multi-User Detection schemes were introduced to detect the users’ data in presence of MAI. In Multi stage Partial parallel interference cancellation (MP-PIC) method complexity is more than multi stage conventional PIC (MC-PIC), but performance is better than MC- PIC. In This paper we proposed multi stage subtractive PIC (MS-PIC). In this method the complexity is less than MP-PIC and performance is slightly less than MP-PIC. Now we proposed one more method that is the combination of partial and subtracting parallel interference cancellation (PS-PIC) in multi stage. This method gives to achieve performance improvement and complexity reduction compared to conventional multistage PIC detector.

Keywords: Multi-user detection, MAI, Matched filter, , DS-CDMA, PIC.odd kasami sequence

Title of the Paper: Reconfigurable Characteristics of the Monopole Plasma Antenna and Its Array Driven by Surface Wave

Authors: Anshi Zhu, Zili Chen, Junwei Lv

Abstract: Reconfigurable characteristics of monopole plasma antenna are investigated in the paper, related analysis and experiments on the reconfigurable characteristics of the plasma antenna e.g., working frequency, radiation pattern are completed and many experimental results are obtained. The research results show that the reconfigurable characteristics of monopole plasma antenna can be realized and optimized under certain external excited conditions. The radiation parameters the plasma antenna array also can be reconfigured through changing variable parameters of the plasma elements, the related analysis and simulations are presented.

Keywords: Monopole Plasma Antenna, Plasma Antenna Array; Reconfigurable Characteristics, Surface Wave, Research

Title of the Paper: A Systematic Design of High-Rate Full-Diversity Space-Frequency Codes for Multiuser MIMO-OFDM System


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Abstract: The authors have proposed a new space-frequency (SF) code for MIMO-OFDM system in their paper. The data streams of all the users are sent simultaneously through all the OFDM sub-channels. The proposed SF code can achieve high symbol rate ( rate ) with full diversity ( ) where denotes the number of transmit antenna for each user, denotes number of receive antenna at the receiver and denotes the number of independent channel taps. The threaded algebraic layering concept is used to construct this SF code which combines the space-frequency layering theory with algebraic component codes. The component code is considered to be an algebraic number theoretic constellation. Each component code is assigned to a “thread” and interleaved over space and frequency. Diophantine approximation theory is then used to make the threads transparent to each other. In addition, another approximation is used so that the users become transparent to each other. Our SF code does not require zero-padding, which always ensures high symbol rate. It is proved through simulation that the proposed coding scheme achieves higher coding and diversity gain over recently proposed space-frequency code.

Keywords: MIMO-OFDM systems, wideband multipath fading channels, multiple access channel (MAC), multiuser space-frequency (SF) coding, and threaded algebraic layering concept

Title of the Paper: The Equivalent Queuing Model by a Partition Algorithm for Tree Connected Servers

Authors: Chung-Ping Chen, Ying-Wen Bai, Hsiang-Hsiu Peng, Ying-Yu Chen

Abstract: This paper aims at analysis efficiency in estimating the performance of tree connected servers. We use a queuing model to represent their equivalent performance and service quality. The queue types of the connection servers can be classified as serial, parallel and tree connections. We design an algorithm to simplify the equivalent serial-parallel queues. According to the equivalent queues we compute the system response time of tree connected servers. We use a network simulation and an analytical software tool to represent the equivalent performance of the queue. Our simulation uses various different service rates and arrival rates of the queue models and finds the system response time. We also measure the average system response time in comparison with the simulation result to find out the service rates of the actual servers and evaluate the accuracy of the algorithm. We will find that the error margin of measurement, simulation and computing ranges from 1.37%-19.27%. Keywords: Serial-parallel Network, Web Servers, Service Rate, Tree Connected Servers, System Response Time, Equivalent Queuing Network

Title of the Paper: A New Finite Word-length Optimization Method Design for LDPC Decoder

Authors: Jinlei Chen, Yan Zhang, Xu Wang

Abstract: A new word-length optimization method based on Monte Carlo simulation is proposed. The word-length of the check node extrinsic message is also further optimized in this paper. In the proposed optimization method, and in the process of optimizing the word-length of the channel data, the statistical distribution results of variable node’s posterior probability data and check node’s extrinsic message are also obtained. The optimized word-length of variable node’s posterior probability data and check node’s extrinsic message is concluded by the statistical distribution result and the BER (Bit Error Rate) curves. Compared to the pure Monte Carlo simulation, the proposed method could reduce the amount of simulation work by more than 50%, and have the same word-length optimization results.

Keywords: LDPC decoder, word-length optimization, Monte Carlo simulation, min-sum


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Title of the Paper: Error Correction and Equilibrium investigation in Random Access MAC Protocols for Wireless Networks

Authors: Mohamed Lamine Boucenna, Hadj Batatia, Malek Benslama

Abstract: This research focuses on network performance, and how to solve the problem of low throughput in the Aloha medium access control (MAC) protocol and its derivatives. For this purpose, we propose two complementary solutions. The first consists of the integration of the erasure coding scheme in this protocol to recover collided packets and to reduce the rate of collision between transmitted packets. Here, since each node sends N coded packets instead of the k original packets, we have (N-k) redundant packets. The introduction of redundancy and subsequently structuring it in an exploitable manner, allows serious errors injected by the channel to be corrected. However, if each node attempts to achieve its best output without regard for the other nodes’ actions, this could affect overall system throughput. To analyze such conflicting situations where the action of one node has an impact on the other nodes’ actions, we add a complementary solution, which is based on the game theory technique of acquiring network equilibrium. This makes the network stronger and able to resist many collisions.

Keywords: Slotted-Aloha, CSMA, Erasure Coding, Game theory

Title of the Paper: Design of Flexible Layer-3 Routing Protocol with Variable-Length Address Information and Its Implementation

Authors: Yasuhiro Sato, Yusuke Toji, Shingo Ata, Ikuo Oka

Abstract: In next-generation network architectures, the number of nodes and equipment connected to information networks increase more than ever. Due to the explosive increase of network equipment, an information retrieval technique to access information surely and efficiently will be strongly required. For this, one of the current approaches is intelligent routing, such as DHT, which is implemented on upper layers than IP layer. However, the inefficiency in processing packets and the mutual interference between layers are caused, because similar functions are implemented on different layers as different routing protocols. In this paper, we propose a new layer-3 routing protocol that can achieve flexible information retrieval implemented on overlay networks. For this purpose, we design a new routing protocol that can use variable-length address information, such as keyword or device name, as its address information. Moreover, we consider the feasibility of our routing protocol by implementing it to GNU Zebra as an extension of BGP.

Keywords: Next-generation network, routing protocol, overlay routing, clean-slate architecture

Title of the Paper: Performance of Concatenated Optimized Irregular LDPC Code with Alamouti Coded MIMO-OFDM Systems

Authors: Bhasker Gupta, Davinder S. Saini

Abstract: Multiple input multiple output (MIMO) communication systems along with orthogonal frequency division multiplexing (OFDM) have a great potential for future 4G broadband wireless communications. Recently, low density parity check codes (LDPC) achieves good error correcting performance and capacity near Shannon’s limit. In this paper, we considered the performance analysis of serially concatenated regular and irregular LDPC codes with Alamouti space time block coded (STBC) and space frequency block coded (SFBC) MIMO-OFDM systems for high data rate wireless transmission. Currently, most of the research related to this area is


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concentrated on the impact of increase in code rate and diversity of the system but not on increase in coding gain. In this paper, we analyzed the impact of increasing coding gain. Performance analysis and design optimization is carried out using density evolution (DE) tool with mixture of Gaussian approximations over Rayleigh independent and identically distributed (i.i.d) channels

Keywords: MIMO-OFDM, Alamouti codes, Density Evolution (DE), LDPC codes, Maximum a Posteriori (MAP), Maximum Likelihood (ML) detection

Title of the Paper: Performance Analysis of Channel Coding in Satellite Communication Based on VSAT Network and MC-CDMA Scheme

Authors: Mohammed El Jourmi, Hassan El Ghazi, Abdellatif Bennis, Hassan Ouahmane

Abstract: Satellites are an essential part of our daily life, and they have a very large usage ranging from Search and Rescue Operations to Environmental Monitoring. The widest use of satellites is, however, in communication systems. Satellites can cover vast areas on the world; therefore, they are the nodes where all links pass through in a communications network. Many users can access such a network simultaneously while they are widely separated geographically. The purpose of this paper is to model and analyze a geostationary satellite communication system with VSATs networks in the uplink case, using Multicarrier CDMA system (MC-CDMA is a combination of multicarrier modulation scheme and CDMA concepts) and channel coding mechanisms “Turbo code and Convolutional code”. The envisaged system is examined in Ku band and over AWGN channel. The simulation results are obtained for each different case. The performance of the system is given in terms of Bit Error Rate (BER) and Signal to Noise Ratio (SNR). In this study the proposed system coded with Turbo code can achieve better error rate performance compared to coded VSAT MC-CDMA system with convolutional code.

Keywords: VSAT Network, Turbo code, Convolutional code, MC-CDMA, Ku band, Satellite communication, Uplink

Copyrigh t © 20 13 - All Righ ts Reserved - WSEAS - World Scien tific an d En gin eerin g Academ y an d Society


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Multi-Objective Cross-Layer Optimization with Pareto Method

for Relay Selection in Multihop Wireless Ad hoc Networks

NYOMAN GUNANTARA AND GAMANTYO HENDRANTORO Department of Electrical Engineering

Institut Teknologi Sepuluh Nopember Kampus ITS Sukolilo, Surabaya 60111,

INDONESIA

gunantara@elect-eng.its.ac.id; gunantara@ee.unud.ac.id, gamantyo@ee.its.ac.id http://www.its.ac.id, http://www.unud.ac.id

Abstract: - The focus of this paper is cross layer optimization of relay selection on multihop wireless ad hoc networks. Cross-layer metrics that will be optimized are power consumption, throughput, and load balancing in wireless ad hoc networks for the outdoor and indoor configurations. Those three resources (performance indicators) are optimized using the multi objective optimization with Pareto method. The results obtained apply a dynamic ad hoc network model and optimization can be done simultaneously to all three resources which are optimized based on the route or path. Several alternatives in the relay selection are shown in the following simulation. The selection of the optimal relay can be based on one or a combination of the three performance indicators. The performance of the optimal relay selection in the field of POF (Pareto Optimal Front) is shown by the shortest Euclidean distance. The result of optimization for indoor and outdoor multihop ad hoc networks with three performance indicators is shown.

Key-Words: - Multi Objective Optimization, Cross Layer, Pareto Method, Relay Selection, Euclidean Distance, Multihop Wireless Ad hoc Networks, Performance Indicator, Outdoor and Indoor Configuration

1 Introduction

An ad hoc network is a set of nodes that communicate dynamically and do not have a fixed infrastructure. Each individual node can act as a source, relay, and destination. Those nodes have limited transmission range and battery capacity [1]. Thus, nodes communicating in ad hoc networks might require a relay or shall cooperate with another node which acts as relay.

Relay has been tested to be applied to WLAN-based access point networks where a node communicates with another through a third node in its path. The result is an increase in cell capacity, energy efficiency, and a reduction in emissions of electromagnetic fields [2]. In [3], Li examines the relay selection on multihop of ad hoc networks based on signal to interference plus noise ratio (SINR). This study has a low complexity but is very helpful in analyzing performance on multihop communication. A node’s SINR is determined according to the previous node along the path to optimize the capacity of the channel. Bletsas et al in [4] proposes a distributed relay selection scheme where a user selects the best path of source-relay-destination out of many relays that may be based on

the biggest channel gain. In [5], Huang et al examines relay selection based on the two auction mechanisms, the SNR auction and power auction, for the allocation of distributed resources. The expected outcome of the auction process is in the form of Nash Equilibrium. The results obtained are resources in the form of greater throughput in SNR auction than in the power auction. In the study reported in [1-5], the relay selection is based only on resources in the physical layer. Resources that lie outside the physical layer (higher layer) can also affect the relay selection. In other words, an exchange of resources from the physical layer and higher layer for relay selection is desired. This encourages the development of combined optimization of resources in the physical and higher layers, which is called cross-layer optimization.

Cross-layer optimization for relay selection has been performed by many researchers. Here we will clarify some researches which are related to and support this research. Shi et al in [6] examines ways to increase throughput in the communication pair of source and destination in an ultra wide band (UWB) based ad hoc networks. The increase of the throughput is based on cross-layer approach namely


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scheduling and power control in the data link layer and routing in the networks layer. Throughput is obtained from the optimization result using the reformulation linearization technique (RLT). In [7], Le and Hossain explains cross-layer optimization in cooperative communication system for the physical layer and networks in form of joint routing, relay selection, and power allocation to minimize power consumption in the networks. It is subsequently expanded with the addition of congestion control to optimize the traffic and look for a power tradeoff (compromise) in the system. The method used is convex optimization with the Lagrange optimization technique. In [8], Chen et al performs cross-layer based optimization in the cooperative communication system of the relay selection. The resources which are optimized are energy efficiency and load balancing. Energy efficiency is obtained based on the duration of time while load balancing is applied to each node so that each node uses the same energy. For a stationary node which acts as relay, it turns out that energy efficiency and load balancing can not be achieved simultaneously. In order to solve this problem, multi-state cooperative is used. The energy efficiency of the node is performed to optimize the throughput and outage probability. Optimization is performed with convex optimization in Kurash-Kuhn-Tucker (KKT) condition. Ding et al in [9], discusses the cross-layer optimization in the form of joint routing, relay selection, and dynamic allocation of frequency spectrum to maximize throughput. The research was conducted for ad hoc networks of cognitive radio and optimization was performed with convex optimization. In the study reported in [6-9], the relay selection is performed by cross-layer optimization to improve resources performance. Since cross-layer optimization of relay selection involves a compromise of multiple objectives, some of which are contradicting each other, it is appropriate to adopt multi-objective optimization (MOO) approach [10].

In [11], Karkkainen et al examines mobile terminal which will be able to communicate with service providers using multiple networks connections. Each network connection has a various transmission speed and values. In selecting a networks connection, the problems, which are time and cost, are formulated into MOO. Both problems are solved using the scalarization method. Settlements used are the weighting method, neutral compromise solution, and the achievement of scalarizing function. Baynast et al in [12], examines cross-layer optimization for radio multicarrier system in the automatic repeat request (ARQ) based

cognitive radio networks. There are four optimized problems namely packet error rate (PER), power consumption, throughput, and delay. The four issues are formulated into a scalar form. Furthermore, the settlement is performed using weighted sum approach and genetic algorithm. Elmusrati et al in [10], discusses radio resource scheduling (RRS) in the cellular communication system. RRS controls the radio resources, which are transmit power and data rate, to solve the problems by minimizing total transmit power, minimizing the outage, and maximizing throughput. These three problems are opposite, the two performance indicators should be minimized while the other one is maximized. Optimization is performed by merging the three problems into MOO. These three problems are formulated into scalarizing function and solved using weighted metric method. From studies in [10-12], MOO is solved using scalarization. In MOO with scalarization, the objectives can not be optimized separately because their solutions are dependent on one another. Later, in order to overcome this shortcoming, our study proceeds using MOO with the Pareto method.

Research using the Pareto method in solving the MOO problems in the field of wireless communication is still new. Initial studies initiated by Runser et al in [13], examines the application of the Pareto method in the solving of MOO problems in the wireless ad hoc networks. Three optimization problems are robustness, energy consumption, and delay. Initial results obtained are tradeoff characteristic of robustness, energy consumption, and delay for 2-hop ad hoc networks. This preliminary result becomes a motivation for the research reported in this paper, which is also to answer the lack of the research following [8] for wireless networks with relay.

In this study, our main contribution is first, optimization for dynamic ad hoc networks model that can be performed simultaneously for the optimized resources based on the route / path. Second, the optimization results are expressed in the Pareto optimal front (POF) in three dimensions and provide optimal performance of Pareto optimal solutions (POS). Third, it shows the optimization results for multihops ad hoc networks with indoor and outdoor scenarios with three performance indicators.

The rest of this paper is organized as follows. Section 2 provides an overview of ad hoc networks, radio propagation, and multiple problems optimization. Section 3 describes the model configuration, simulation parameter, and analysis of


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simulation results. Finally, the conclusions are presented in Section 4.

2 Problem Formulation

2.1 Wireless ad hoc networks

Wireless ad hoc networks can be described in a graph G = (V,L), where V = {1, 2, ... , N } is the set of nodes and L = {(1,2), (1.3), ... , ( N-1, N )} is the set of links/hops. Ad hoc multihops networks contain pairs of nodes in communication involving other nodes as relays. A set of a number of links that form a multihop is called a path. If the number of total nodes (including source and destination) is

N, then there are (N-2) 2-hop solutions, (N-2) (N-3) 3-hop solutions, (N-2) (N-3) (N-4) 4-hop solutions, and so on for the source and destination pair. In this study, the hop is limited to only three hops. Then every 3-hop solution is a path that is source-relay-relay-destination.

There are four methods of routing in ad hoc networks namely unicast routing, multicast routing, broadcast routing, and geocast routing [14]. In this study, broadcast routing is used where source transmits information to all nodes that each might serve as a relay so that the information arrives at the destination. Broadcast routing is chosen so that the transmitted data can be received by all the nodes next to them simultaneously so as to save time in the transmission.

2.2 Radio Propagation

2.2.1 Outdoor

It is assumed that each transmitter node can set the transmit power based on the feedback from the opposite node. Assuming that the transmitter and receiver antenna gain, and , are the same, and that the minimum power received through the wireless channel specified, then the minimal transmit power consumption required is:

(1)

with denoting a multiplier constant,

representing the path loss exponent, and

shadowing loss (dB) which is normally distributed with standard deviation . In this study, the multiplier constant is valued unity and every link / hop has a different shadowing value.

2.2.2 Indoor

For indoor scenario, the nodes in the ad hoc networks are inside a room. The rooms are separated by walls that might attenuate signals. This causes transmission coefficient [15]. Power consumption of a node transmitting to other nodes in different room can be determined through equation (1) by enclosing the influence of the transmission coefficient into the following:

∏ Γ (2)

with Γ and being the transmission coefficient of the wall and the number of walls, respectively.

2.3Ad hoc Network Performance Indicators

2.3.1 Power Consumption

Power consumption in the path is the overall power required in transmitting data from source to destination through multiple relays in each path. For ad hoc networks with three hops, every path is composed of = 3 links. Power consumption in a path number for the outdoor and indoor conditions can be determined through the following equation :

(3)

While the optimal power consumption is the power consumption which has the smallest value of all path. The equation is as follows :

min , , … , (4)

2.3.2 Throughput

Throughput in each link is the number of bits successfully transmitted in the link every second. For simplicity, the amount of throughput in this study can be represented by the value of channel capacity. Under a perfect condition, the value of the throughput approaches the channel capacity. Throughput value will be maximum if the reception power is also maximum for the constant bandwidth and noise power. The capacity can be calculated through the following equation [16] :


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(5) where is the channel bandwidth and is the noise power. In this study, the noise that is affecting is the thermal noise and the noise power magnitude in each link/hop is considered constant.

The throughput for outdoor and indoor conditions depends on the magnitude of the outdoor and indoor maximum reception power. For ad hoc networks with three hops, the throughput in the path can be determined through the following equation:

min , , (6)

While the optimal throughput in an ad hoc networks in the path -th is the maximum throughput of all paths which can be determined through the following equation:

max , , … , (7)

2.3.3 Load Balancing

Load balancing, commonly referred to as fairness, is inversely indicated by the variance of some resources or performances [17]. In the wireless ad hoc networks, load balancing is very important because some nodes may have a better chance as a relay. If a node is used as a relay, the load of the node becomes:

(8)

where B and B respectively are the traffic load of itself and the traffic load that leads to the i node.

After the load of each node is determined, the load balancing of each path can be reviewed based on the variance of the load of all nodes in the area with the following equation [17]:

(9)

From variances that occur in every path selection, the optimal path can be determined through the following equation:

min , , … , (10)

2.4 Multi Objective Optimization

Optimization is the process of finding the best solution for optimization problems. For opposite problems, where the power consumption problem requires minimization, the load balancing problem needs minimization of load variance, while the throughput problem calls for maximization, the Pareto method can be used in finding the best solution. Mathematically the three problems can be written as follows [18]:

Min Max

Min (11) Subject to :

where is the threshold reception power.

Optimization with the Pareto method maintains the solution in the Pareto optimal front (POF) for the two problems separately during optimization. In POF, there is a dominance concept to differentiate dominated (inferior) and non-dominated solution (non-inferior). For the optimization of two problems, two non-dominated solutions can be described in plane POF (two dimensions). As for the optimization of three problems, the non-dominated solutions can be described in three-dimensional field POF [19]. POF of two problems, minimum and maximum, can be seen in Fig. 1 [20].

In determining the optimal value of a POF, the Utopia point should be determined first. The utopia point is the point in the objective space determined by the optimal value of each problem independently. After the Utopia point is determined, the optimal value can be determined by finding the shortest Euclidian distance [21].

The shortest Euclidean distance can be determined by the following equation [22]:

min (12)

where , is the coordinate of the Utopia

points, , is the coordinate of POF points,

and , is the coordinate of the


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Z1                   

*

*

*

*

*

*

*

Non dominatedsolution  Dominated solution POF

*

z Z2

Fig 1. Pareto Optimal Front (POF) for Two Problems

Fig 2. Outdoor Configuration

is determined based on the minimum value

of . Whereas is determined based on the

maximum value of .

3 Numerical Results

3.1 Model Configuration

We consider ad hoc networks configurations working outdoors and indoors. Model for the outdoor condition can be seen in Fig 2. While the model for the indoor condition can be seen in Fig 3. In Fig 2, all nodes are in an open space of 40 m x 40 m. Meanwhile, in Fig 3, it is shown that the building area of 40 mx 40 m is divided into 16 rooms. Each room in the building is

Fig 3. Indoor Configuration

Fig 4. OFDMA Method

bounded by walls. Both configuration models have 32 nodes in random position.Node 1 serves as the source in our simulation, with node 32 as the destination, and the other nodes act as potential relays to form a three-hop ad hoc networks.

The protocol adopted by the system model can be described as follows:

- Source can identify the position of the destination. The process of identifying can be performed in a way that each node can detect other nodes through one hop and transmits the information to all nodes next to it in one hop [23].

- To avoid the occurrence of interference and collision between the nodes, the OFDMA (orthogonal frequency division multiple access) method is used in accordance with reference [24]. Each path uses different sub-carrier. While for each link in a path, different time slot is used. More details can be seen in Fig 4. In Fig 4, the frequency / sub-carrier and time slot division for both path 1-2-3 and 4-5-6-7 is shown.

0 5 10 15 20 25 30 35 40

0 5 10 15 20 25 30 35 40

node position (m)

node pos it io n (m ) 1 2 3 4 5

6 7

8 9 10 12 11

13 14

15

16 17

18 19

20

21 22

23 24 25

26

27

28 29

30

31 32

0 5 10 15 20 25 30 35 40

0 5 10 15 20 25 30 35 40

node position (m)

node pos it ion ( m ) 1 2 3 4 5

6 7

8

9 10 12 11

13 14

15

16 17

18 19

20

21 22

23 24

25 26

27

28 29

30

31 32


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Table 1 Parameters of Simulation

Parameter : Value

Outdoor path loss exponent , : 4

Indoor path loss exponent, : 2

Standard deviation of shadowing, : 8 dB

Wall transmission coefficient, Γ : 0,3

Threshold receive power, : - 50 dBm

Bandwidth, : 20 MHz

Noise, : -101 dBm

Fig 5. POF of Power Consumption and Throughput for Outdoor

Fig 6. POF of Power Consumption, Throughput, and Load Balancing for Outdoor

-30 -28 -26 -24 -22 -20 -18 -16 -14 -12

3.2 3.4 3.6 3.8 4 4.2 4.4

4.6x 10

8

Power Consumption (dBW)

T

h

ro

ug

hp

ut

(

b

p

s

)

Path 1-10-22-32

-30 -25

-20 -15

-10

3 3.5 4 4.5

x 108 25 30 35 40 45 50 55

Power Consumption (dBW) Throughput (bps)

Lo

ad

B

al

a

nc

ing


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Parameter values used in this simulation are taken based on the application of WLAN in wireless ad hoc networks shown in Table 1.

To evaluate the load balancing in this simulation, it is assumed that in addition to source that transmits the data to the destination, there are five nodes that transmit the data simultaneously to their respective destination nodes. As a result, there are multiple nodes that have a better chance as a relay. Those five nodes groups are assumed to be the path 4-12-29-32, 7-11-19-25, 10-19-22-23, 16-12-14-2 and 25-20-12-6. It is assumed that the sources, node 4, node 7, node 10, node 16, node 25 respectively can transmit the data at a rate of 5 Mbps, 3 Mbps, 8 Mbps, 7 Mbps, 2 Mbps and 11 Mbps respectively. While other nodes might be having a load of 2 Mbps, 7 Mbps, 12 Mbps and 17 Mbps. The loads of the nodes are scattered randomly.

3.2 Outdoor

Based on the power consumption, the optimal value is a path that has the minimum power consumption. Accordingly, path (1-11-22-32) with the normalized power consumption of -29.1821 dBW is selected.

As for the throughput, a path that has the maximum throughput is selected. There are three paths that have maximum throughput value. Those paths are (1-10-21-32), (1-10-22-32) and (1-10-27-32), each with throughput value of 443.21 Mbps.

Determining the optimal relay based on a single problem that is based on power consumption or throughput is relatively simple. If more than one problem and many searches for solution space are performed, determining the solution becomes difficult. Thus, Pareto optimization technique is required.

Optimization with Pareto methods leads to a trade-off between power consumption and throughput. Compromise for both problems can be seen in Fig 5, based on which the calculation for Euclidean distance is performed. The result is the shortest Euclidean distance of 0.0020 for path

(1-10-22-32) which is marked by a star in Fig. 5,

indicating that the optimal relay selected corresponds to path (1-10-22-32).

The existence of the load balancing value for outdoor condition causes the POF may be formed in three dimensions. Fig 6 shows that points marked by circles and star have the smallest value of load balancing of 27.7122. By taking these three

resources into account, the selected optimal relay corresponds to path (1-10-22-32) because it has the shortest Euclidean distance of 0.0223 which is indicated by a star in Fig. 6.

3.3 Indoor

Based only on the power consumption, the optimal value is the path that has minimum power consumption. Accordingly, the path (1-12-22-32) with power consumption of -33.6347 dBW is selected.

As for the throughput value, a path that has a maximum throughput value is selected. The selected paths are (1-12-21-32) and (1-12-22-32) with a throughput of 674.98 Mbps.

Optimization with Pareto method causes a compromise between power consumption and throughput, as can be seen in Fig 7.

Based on Fig 7, the calculation for the Euclidean distance is performed. The result is the shortest Euclidean distance of 0 for path (1-12-22-32) which is symbolized by a star. Thus, the selected optimal relay is path (1-12-22-32).

The incorporation of load balancing into the optimization problem for indoor condition requires the POF to be formed in three dimensions. Fig 8 shows that points marked by circles and star have the smallest load balancing value of 27.7122. By taking these three resources into account altogether, the selected optimal relay is path (1-6-22-32) because it has the shortest Euclidean distance of 0.0804 which is marked by a star.

3.4 Discussion

Fig 5 shows that the POF results for outdoor conditions has scattered compromise values, while for indoor conditions Fig.7 shows a tendency of clustered compromise value to converge toward the Utopia point. This is due to the presence of several relays for indoor conditions which have similar power consumption value but have different throughput values. One possible explanation is that nodes in one room appear to experience similar total wall attenuation with respect to each of those in other rooms due to the same number of intervening walls, and further, the total wall attenuation experienced by these nodes differs from that experienced by nodes in other rooms.


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Fig 7. POF of Power Consumption and Throughput for Indoor

Fig 8. POF of Power Consumption, Throughput, and Load Balancing for Indoor The optimal relay selection in two dimensional

POF (of Fig 5 and Fig 7) for the two conditions used to form a multihop networks is the sequence of relays which approaches a straight line between the source and destination, and the distance of which between the source-relay-destination is approximately equal. With the presence of load

balancing in the optimization problem (see Fig 6 and Fig 8), the optimal relay selection might change so it does not form a straight line because the nodes positioned at a straight line are more often used as a relay so that the load balancing variance is high.

Based on Fig 5 and Fig 7, the power consumption for indoor condition is greater than for

-40 -30 -20 -10 0 10 20 3

3.5 4 4.5 5 5.5 6 6.5

7x 10

8

Power Consumption (dBW)

T

hr

oughp

ut

(

bps

)

Path 1-12-22-32

-40

-20

0

20

3 4 5 6 7

x 108 25 30 35 40 45 50 55

Power Consumption (dBW) Throughput (bps)

Load B

al

anc

in

g


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outdoor. There are even some indoor paths which have more than 0 dBW. For example, the power consumption of 18.6 dBW makes path 1-31-3-32 not a realistic choice because the ad hoc terminal has a little battery power and hence the relay selection is extreme/not appropriate. This might happen due to the walls that reduce the power of the signal penetrating through them.

But based on Fig 5 and Fig 7, in optimal condition, the power consumption for outdoor condition is greater than for the indoor condition, while the throughput on the conditions outside the building is smaller compared to the conditions in the building. This is because the path loss exponent for outdoor is assumed to be 4, greater than that assumed for indoor which is 2.

In load balancing, if the load of the nodes that will act as a relay has less variations, the number of alternative paths will be greater, and vice versa, if the variations are more, the alternative paths will be fewer.

4 Conclusion

This paper has described the application of MOO technique with Pareto method for three performance indicators namely power consumption, throughput, and load balancing. The performance of the optimal relay selection in the field of POF for outdoor and indoor conditions is indicated by the shortest Euclidean distance. From the analysis of the simulation results, three conclusions can be made . First, it is found that the result of two-dimensional POF for outdoor condition has scattered compromise values while for indoor condition, the compromise values tend to converge toward the Utopia point. This is caused by the presence of some relays having similar power consumption value but have different throughput values. Secondly, for outdoor condition, all the nodes can act as a relay pairs, while for the indoor condition, the nodes must be accurately selected as relay pairs as there are some node pairs which do not qualify as relay. Third, the result of the three-dimensional POF shows that for outdoor condition, it has a scattered compromise values while for the indoor condition, it looks like clusters due to the same number of attenuating walls experienced by links to nodes in the same room.

Acknowledgment

The graduate study and research work of N. Gunantara has been supported by Postgraduate

Scholarship from Directorate General of Higher Educational (BPPS), Ministry of National Education, Republic of Indonesia.

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Sensor, Mesh and Ad Hoc Communications and Networks, Boston, 2010.

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Cellular Communication Systems,” IEEE

Transc. on Wireless Communication, vol. 7, no. 1, 2008.

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Cognitive Radio Networks,” Elsevier :

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“A Multiobjective Optimization Framework for Routing in Wireless Ad Hoc Networks,”IEEE International Symposium on Conference Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt), 2010.

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Nyoman Gunantara received the B.Eng. degree in electrical engineering from Universitas Brawijaya (UB), Indonesia, in 1997. In 1997 - 2000, he worked in SIEMENS as The Leader of Cable Tester Unit. He was responsible for the quality of the cable network and cooperation with PT. TELKOM Indonesia. Since 2001, he joined with Universitas Udayana (Unud), Bali as lecturer. He received M.Eng degree in electrical engineering from Insitut Teknologi Sepuluh Nopember (ITS), Indonesia, in 2006. He is currently working toward the Ph.D. degree in electrical engineering from ITS. His research interests include wireless communications, ad hoc network, quality network, and optimization. He is a Student Member of the IEEE.

Gamantyo Hendrantoro received the B.Eng degree in electrical engineering from Institut Teknologi Sepuluh Nopember (ITS), Indonesia, in 1992, and the MEng and PhD degrees in electrical engineering from Carleton University, Canada, in 1997 and 2001, respectively. He is presently a Professor with ITS.


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His research interests include radio propagation

modeling and wireless communications. Dr. Hendrantoro is a Member of the IEEE.


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Table 1 Parameters of Simulation

Parameter : Value

Outdoor path loss exponent , : 4

Indoor path loss exponent, : 2

Standard deviation of shadowing, : 8 dB

Wall transmission coefficient, Γ : 0,3

Threshold receive power, : - 50 dBm

Bandwidth, : 20 MHz

Noise, : -101 dBm

Fig 5. POF of Power Consumption and Throughput for Outdoor

Fig 6. POF of Power Consumption, Throughput, and Load Balancing for Outdoor

-30 -28 -26 -24 -22 -20 -18 -16 -14 -12

3.2 3.4 3.6 3.8 4 4.2 4.4 4.6x 10

8

Power Consumption (dBW)

T

h

ro

ug

hp

ut

(

b

p

s

)

Path 1-10-22-32

-30 -25

-20 -15

-10

3 3.5 4 4.5

x 108 25 30 35 40 45 50 55

Power Consumption (dBW) Throughput (bps)

Lo

ad

B

al

a

nc

ing


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Parameter values used in this simulation are taken based on the application of WLAN in wireless ad hoc networks shown in Table 1.

To evaluate the load balancing in this simulation, it is assumed that in addition to source that transmits the data to the destination, there are five nodes that transmit the data simultaneously to their respective destination nodes. As a result, there are multiple nodes that have a better chance as a relay. Those five nodes groups are assumed to be the path 4-12-29-32, 7-11-19-25, 10-19-22-23, 16-12-14-2 and 25-20-12-6. It is assumed that the sources, node 4, node 7, node 10, node 16, node 25 respectively can transmit the data at a rate of 5 Mbps, 3 Mbps, 8 Mbps, 7 Mbps, 2 Mbps and 11 Mbps respectively. While other nodes might be having a load of 2 Mbps, 7 Mbps, 12 Mbps and 17 Mbps. The loads of the nodes are scattered randomly.

3.2 Outdoor

Based on the power consumption, the optimal value is a path that has the minimum power consumption. Accordingly, path (1-11-22-32) with the normalized power consumption of -29.1821 dBW is selected.

As for the throughput, a path that has the maximum throughput is selected. There are three paths that have maximum throughput value. Those paths are (1-10-21-32), (1-10-22-32) and (1-10-27-32), each with throughput value of 443.21 Mbps.

Determining the optimal relay based on a single problem that is based on power consumption or throughput is relatively simple. If more than one problem and many searches for solution space are performed, determining the solution becomes difficult. Thus, Pareto optimization technique is required.

Optimization with Pareto methods leads to a trade-off between power consumption and throughput. Compromise for both problems can be seen in Fig 5, based on which the calculation for Euclidean distance is performed. The result is the shortest Euclidean distance of 0.0020 for path (1-10-22-32) which is marked by a star in Fig. 5, indicating that the optimal relay selected corresponds to path (1-10-22-32).

The existence of the load balancing value for outdoor condition causes the POF may be formed in three dimensions. Fig 6 shows that points marked by circles and star have the smallest value of load balancing of 27.7122. By taking these three

resources into account, the selected optimal relay corresponds to path (1-10-22-32) because it has the shortest Euclidean distance of 0.0223 which is indicated by a star in Fig. 6.

3.3 Indoor

Based only on the power consumption, the optimal value is the path that has minimum power consumption. Accordingly, the path (1-12-22-32) with power consumption of -33.6347 dBW is selected.

As for the throughput value, a path that has a maximum throughput value is selected. The selected paths are (1-12-21-32) and (1-12-22-32) with a throughput of 674.98 Mbps.

Optimization with Pareto method causes a compromise between power consumption and throughput, as can be seen in Fig 7.

Based on Fig 7, the calculation for the Euclidean distance is performed. The result is the shortest Euclidean distance of 0 for path (1-12-22-32) which is symbolized by a star. Thus, the selected optimal relay is path (1-12-22-32).

The incorporation of load balancing into the optimization problem for indoor condition requires the POF to be formed in three dimensions. Fig 8 shows that points marked by circles and star have the smallest load balancing value of 27.7122. By taking these three resources into account altogether, the selected optimal relay is path (1-6-22-32) because it has the shortest Euclidean distance of 0.0804 which is marked by a star.

3.4 Discussion

Fig 5 shows that the POF results for outdoor conditions has scattered compromise values, while for indoor conditions Fig.7 shows a tendency of clustered compromise value to converge toward the Utopia point. This is due to the presence of several relays for indoor conditions which have similar power consumption value but have different throughput values. One possible explanation is that nodes in one room appear to experience similar total wall attenuation with respect to each of those in other rooms due to the same number of intervening walls, and further, the total wall attenuation experienced by these nodes differs from that experienced by nodes in other rooms.


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Fig 7. POF of Power Consumption and Throughput for Indoor

Fig 8. POF of Power Consumption, Throughput, and Load Balancing for Indoor

The optimal relay selection in two dimensional POF (of Fig 5 and Fig 7) for the two conditions used to form a multihop networks is the sequence of relays which approaches a straight line between the source and destination, and the distance of which between the source-relay-destination is approximately equal. With the presence of load

balancing in the optimization problem (see Fig 6 and Fig 8), the optimal relay selection might change so it does not form a straight line because the nodes positioned at a straight line are more often used as a relay so that the load balancing variance is high.

Based on Fig 5 and Fig 7, the power consumption for indoor condition is greater than for

-40 -30 -20 -10 0 10 20

3 3.5 4 4.5 5 5.5 6 6.5

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Power Consumption (dBW)

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Path 1-12-22-32

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outdoor. There are even some indoor paths which have more than 0 dBW. For example, the power consumption of 18.6 dBW makes path 1-31-3-32 not a realistic choice because the ad hoc terminal has a little battery power and hence the relay selection is extreme/not appropriate. This might happen due to the walls that reduce the power of the signal penetrating through them.

But based on Fig 5 and Fig 7, in optimal condition, the power consumption for outdoor condition is greater than for the indoor condition, while the throughput on the conditions outside the building is smaller compared to the conditions in the building. This is because the path loss exponent for outdoor is assumed to be 4, greater than that assumed for indoor which is 2.

In load balancing, if the load of the nodes that will act as a relay has less variations, the number of alternative paths will be greater, and vice versa, if the variations are more, the alternative paths will be fewer.

4 Conclusion

This paper has described the application of MOO technique with Pareto method for three performance indicators namely power consumption, throughput, and load balancing. The performance of the optimal relay selection in the field of POF for outdoor and indoor conditions is indicated by the shortest Euclidean distance. From the analysis of the simulation results, three conclusions can be made . First, it is found that the result of two-dimensional POF for outdoor condition has scattered compromise values while for indoor condition, the compromise values tend to converge toward the Utopia point. This is caused by the presence of some relays having similar power consumption value but have different throughput values. Secondly, for outdoor condition, all the nodes can act as a relay pairs, while for the indoor condition, the nodes must be accurately selected as relay pairs as there are some node pairs which do not qualify as relay. Third, the result of the three-dimensional POF shows that for outdoor condition, it has a scattered compromise values while for the indoor condition, it looks like clusters due to the same number of attenuating walls experienced by links to nodes in the same room.

Acknowledgment

The graduate study and research work of N. Gunantara has been supported by Postgraduate

Scholarship from Directorate General of Higher Educational (BPPS), Ministry of National Education, Republic of Indonesia.

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Nyoman Gunantara received the B.Eng. degree in electrical engineering from Universitas Brawijaya (UB), Indonesia, in 1997. In 1997 - 2000, he worked in SIEMENS as The Leader of Cable Tester Unit. He was responsible for the quality of the cable network and cooperation with PT. TELKOM Indonesia. Since 2001, he joined with Universitas Udayana (Unud), Bali as lecturer. He received M.Eng degree in electrical engineering from Insitut Teknologi Sepuluh Nopember (ITS), Indonesia, in 2006. He is currently working toward the Ph.D. degree in electrical engineering from ITS. His research interests include wireless communications, ad hoc network, quality network, and optimization. He is a Student Member of the IEEE.

Gamantyo Hendrantoro received the B.Eng degree in electrical engineering from Institut Teknologi Sepuluh Nopember (ITS), Indonesia, in 1992, and the MEng and PhD degrees in electrical engineering from Carleton University, Canada, in 1997 and 2001, respectively. He is presently a Professor with ITS.


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His research interests include radio propagation

modeling and wireless communications. Dr. Hendrantoro is a Member of the IEEE.