Cooperative Diversity Pathsselection Protocol Withmulti- Objective Criterion In Wireless Ad-Hoc Networks.
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© Research India Publications
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Cooperative Diversity Pathsselection Protocol WithmultiObjective Criterion In Wireless Ad-Hoc Networks
1
Nyoman Gunantara, 1Nyoman Putra Sastra, 2Gamantyo Hendrantoro
1
Department of Electrical Engineering
Universitas Udayana, Bali
2
Department of Electrical Engineering
Institut Teknologi Sepuluh Nopember, Surabaya
Abstract
Relay selection plays a very important role in wireless ad hoc networks.
Wepropose a cooperative diversity protocol as simple and easy to understand
with multi-objective cross-layer criterion by considering the condition of
source-to-destination (S-D) linkand employing amplify-and-forward (AF)
relays. The proposed protocol guarantees full diversity based on scalarization
of the two-objective criterion with root mean square (rms) normalizationto
gain fairness. The two objectivesinclude signal-to-noise power ratio (SNR)
and load variance. Simulation results show that the proposed protocol
giveshigher SNR than a single-objective protocol that does not consider the SD link conditions. The proposed protocol results in an improvement of 3.03
dB in SNR and is likely to result in cooperative diversity configuration
involving two parallel relays. In addition, the load variance achieved by
applying the proposed algorithmindicates more evenly distributed traffic load.
Keywords: relay selection, algorithm protocol, full diversity, amplify and
forward, multi-objective criterio, rms, scalarization, SNR, load variance.
Introduction
Nodes in ad hoc networks having no infrastructure have limitations in terms of
transmission range and battery capacity[1]. To overcome these limitations, cooperative
technique can be adopted. Cooperative communication is a system where the source
nodes cooperate and coordinate with other nodes serving as relays toreach the
destination node. Cooperative communication using a single antenna in multi-node
scenarios can take benefit of the transceiver and antenna system of each node so that it
can create cooperative diversity system, and in a way,adopting the advantages of
22396
Nyoman Gunantara
multi-input multi-output (MIMO) [2] systems. Consequently, cooperative diversity can
improve the transmission quality.
To implement cooperative diversity in wireless ad-hoc networks, it needs protocol
and criteria that must be met in communication from source to destination. For
example, the authors in [3] propose a simple protocol of cooperative diversity for
configuration consisting of source-to-destination and source-relay-destination paths.
With this protocol, problems arise when the signal from the source to destination can
not be received well due to bad quality of the radio link so that the direct transmission
fails. In this case, full diversity can not be achieved and the cooperative system
performance degrades. This problem can be mitigated by checking the performance of
the source-to-destination link prior to the cooperative diversity phase, so that the
system can be enhanced to achieve full diversity, which is explored in our paper.
Relay or path selection in cooperative diversity can be done depending on various
criteria. For instance, path selection in cooperative diversity can be done based on SNR
[4] - [7], outage probability [8] - [10], mutual information [11], and symbol error rate
[12]. However, these papersimplement cooperative diversity using single-objective
criterion. It is thought thatpath selection in cooperative diversity needs to consider a
combination of multiple criteria to achieve multiple goals simultaneously. Our paper
proposes a cooperative diversity protocol with cross-layer multi-objective criterion
involving prediction of the performance from the source to the destination in advance
so that the right decision on the configuration taken can be made and full diversity can
be achieved. Multi-objective criterion used areSNRand load variance. The first are
related to the physical layer, while the second is a network layer problem [13].
Path selection in multi-objective can be achieved by using Pareto and scalarization
methods. Based on the computation time, scalarization method takes less time to
perform simulation compared with Pareto method[14]. Therefore, the completion of a
multi-objective criterion in the protocol of cooperative diversity in this research
appliesscalarization method. In thescalarization method, each objective is weighted
and normalized. Normalization with priorityscale tends to separatethe primary objects
and ignore other objects[15]. In this paper, normalization is made to the root mean
square (rms) to provide fairness among theobjectives.
As previously stated, the best path pair in our study is obtained based on a criterion
consisting of twoobjectives, namely SNRand load variance. SNR values obtained with
proposed algorithm is found to provide improvement of 3.03 dB over the singleobjective protocol proposed in [3]. Our algorithm also guarantees full diversity of the
proposed protocol.
Section II of this paper describes the formulation of the three-objective problem.
Section III describes model of the ad-hoc network and protocols used in our study.
Section IV describes theparameters and simulation results and closed with conclusions
in SectionV.
Formulation of Multi-Objective Criterion
The relay selection isbased on combination of two criteria, namely SNRand traffic load
variances for each possibility of cooperative configurations. The formulation of those
Cooperative Diversity Pathsselection Protocol Withmulti-Objective et.al.
22397
two criteria and scalarization for the combinationis explained below. There are five
possible outcomes of path selection, namely S-D only, S-R-D only, S-D and S-R-D, SR1-D and S-R2-D, and no connection. The possibilities of path selection results can be
seen in Fig. 1.
SNR
If transmission rate is desired, channel capacity of 2 is required for packets sent by
S to be successfully received in D. The requirement can be expressed as follows [16]:
2 ≤
(1 +
,
)
(1)
Equation (1) can also be written as follows:
,
>2
−1
(2)
Figure 1: Possibilities of Path Selection Results
If this condition is not fulfilled then the direct path of S-D is deemed not eligible,
or
,
2 − 1,then the one dualhopprocedure isexecuted. Otherwise, if , < 2 − 1then the two dual-hop procedure
is selected. This process can be seen in AlgorithmI.
Algorithm I: Main program
Begin
S transmit
If , > 2 − 1Then
Procedure one dual-hop
Else If , < 2 − 1 Then
Procedure two dual-hop
End
End
End
If the decision is made that the S-D link quality is good, i.e., , > 2 − 1, the route
of direct transmission and cooperative is formedthroug
1 = [ , ] and
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Nyoman Gunantara
( , : ) = [ , , ] for = 1: , ≠ , ≠ . After that, relay selection is done
based on multi-objective criterion in equation (10). The result is either diversity
through
ℎ_
or no diversity through
1. This process can be seen in
Algorithm II.
If the decision is made thatthe S-D quality is not sufficiently good, i.e., , <
( , : ) = [ , , ] for
2 − 1 , then the cooperative route is formed through
= 1: , ≠ , ≠ . After that,the second relay selection is done based on multiobjective criterion in equation (10). The result can be diversity through
ℎ_
, or
no diversity through
_
1, or no connection. This process can be seen in
Algorithm III.
Algorithm II: Procedure one dual-hop
Begin
//decision by , > 2 − 1
//direct route
route1=[S,D]
//cooperative route
For i=1:N, i≠S, i≠D
route(i,:)=[S,I,D];
End
//multi-objective criterion
,
=
,
=
1
−
,
+
,
+1
1
//scalarization of multi-objective criterion
= arg max ⎛
(
)
−
//best 1 relay
If best1relay =1 Then
diversity
Else no_diversity
End
End
//diversity
[y,I]=sort(relay,’descend’)
selected_relay=relay(I(1),:)
path_pairs={[SD] selected_relay1}
//no diversity
route1
End
⎠
Cooperative Diversity Pathsselection Protocol Withmulti-Objective et.al.
Algorithm III: Procedure two dual-hop
Begin
//decision by , < 2 − 1
//cooperative route
Fori=1:N, i≠S, i≠D
route(i,:)=[S,i,D];
End
//multi-objective criterion
,
=
,
=
1
−
,
+
,
+1
1
//scalarization of multi-objective criterion
= arg max ⎛
(
)
−
⎠
//best 2 relays
If best2relays = 2 Then
diversity
Else If best2relay=1 Then
no_diversity
Else
no_connection
End
End
End
//diversity
[y,I]=sort(relay,’descend’)
selected_relay1=relay(I(1),:)
selected_ relay2=relay(I(2),:)
path_pairs={selected_relay1selected_relay2}
//no diversity
selected_relay1
End
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Nyoman Gunantara
Numerical Results
Simulation parameters are adopted from the application of WLAN in ad-hoc wireless
networks as shown in Table I. The ad-hoc network model used consists of one source,
one destination, and multiple other nodes that are possible relays. All nodes are in an
open space with an area of 100m×100m. S broadcasts a data packet to D assisted by
other nodes. In this study, 30 nodes are defined each having the same opportunity tobe
a relay.
To simulate load variance calculation, it is assumed that besides the source sending
data to the destination there are five other nodes simultaneously transmit data to
theirrespectivedestinations. As a result, there are some nodes having a better chance to
be a relay because they have relatively lower traffic load. In our example, five pairs of
source and destination nodes use paths 4-12-31, 7-11-25, 10-19-23, 16-12-2, and 2520-6. It is assumed that the sources, namely, node 4, 7, 10, 16, and 25 transmit data
respectively at 3, 8, 7, 2, and 11Mbps. While the other nodes are assumed to have
random load of 2, 7, 12, or 17.
*)
: Power receivedby Dfrom S is calculated by D and then fed
back to S
**) : Computed by each possible relay R and further checked by
S.
***) : Computed from (9). ߛ௦, is calculated by each R and
checked by S, whileߛ ,ௗ is calculated by D and checked by
each R.
Figure 2: Flow Chart of Cooperative Diversity Protocol
Fig. 3 illustrates one example of the simulation results. The 'square' signs markthe
source S and destination D under consideration, whereas 'star' indicates that the node
is active or in communication with other nodes, and a 'circle' marks a node.
Cooperative Diversity Pathsselection Protocol Withmulti-Objective et.al.
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The optimal relay pair selected in this simulation are (1-19-32) and (1-21-32) with
SNR of 29.47 dB obtained using the proposed protocol was. The SNR obtained from
the single-objective protocolas in the paper [3], which does not consider the condition
of SD,is 27.53 dB, whereas the SNR for S-R-D configuration only is 25.03dB, and that
for S-D only is 13.27dB.Whereasthe load variance is 48.36 Mbps2.The selectedpath
pair can be seen in Fig. 4.
Table 1: Parameters of Simulation
Parameter
Path loss exponent , ∝
Standard
deviation
shadowing,
Power Transmit,
Transmit antenna gain,
Receive antenna gain,
Frequency,
Noise,
Spectral Efficiency,
100
: Value
: 4
of : 8 dB
:
:
:
:
:
:
1W
2 dB
2 dB
2.5 GHz
- 101 dBm
4
Mbps/Hz
27
90
31
80
26
25
19
17
node position (m)
70
28
D
29
30
22
21
60
18
50
23
13
40
10
9
12
7
16
15
14
30
11
3
20
S
10
0
24
20
5
6
8
4
2
0
10
20
30
40
50
60
node position (m)
70
80
90
100
Figure 3: Ad Hoc Network Model
Simulationis performed 1000 times with a random position and load to every node
to determine the distribution of each objective and compareit to the single-objective
algorithm, the direct transmission (S-D) and the dual-hop (S-R-D).
Simulation results are shown in Fig. 5 - 6. The CDF (cumulative distribution
function) of SNR obtained through the cooperative diversity protocol can be seen in
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Nyoman Gunantara
Fig. 5. From Fig. 5, it can be explained that the SNR value from the proposed method
(marked "MO" in the figure) ranges from 21.01 to 47.05 dB.For comparison, the SNR
for the single objective protocol not considering to the S-D condition (marked "SO")
ranges from 18.09 to 40 dB.The median difference of SNR between the
proposedmulti-objective and the single-objective algorithm is 3.03 dB.For the S-R-D
path onlyconfiguration, the SNR ranges from10 to 34.01 dB.While for S-D path only,
the SNR ranges from-10 to 23.06 dB with the probability of SNR value above 0 dB
being 88.0 %.These results suggest that the proposed protocol produces the largest
SNR values among the others.
100
27
90
31
26
80
25
17 19
28
D
29
30
22
node position (m)
70
21
60
18
50
23
13
40
10
9
12
7
16
15
14
30
11
3
20
S
10
0
24
20
5
6
8
4
2
0
10
20
30
40
50
60
node position (m)
70
80
90
100
Figure 4: Best Path Pairs
The CDF of load variance from the simulation is given in Fig. 6. The load variance
from the use of the proposed protocol ranges from39.23 to 51.17 Mbps2. As a
comparison, load variancesare also shown for the single-objective protocol and for the
S-D path only configuration. Load variance produced by the single-objective
rangesbetween 38.52and 51.74 Mbps2. While the value of load variance for the case
of S-D path only is fixeddue to the absence of changes in the traffic load on each
node. Fig. 6 shows the value of load variance with the proposed protocol issmaller
than that with the single-objective. It is because the traffic load resulting from the
proposed protocol is more evenlydistributed with the application of multi-objective
criterion than the traffic load of the nodes with a single objective protocol.
Cooperative Diversity Pathsselection Protocol Withmulti-Objective et.al.
Prob[SNR