Low pass filter prototype

LIST OF FIGURE NO TITLE PAGES 2.1 Examples of frequency response of a High-pass 5 Filter b Low-pass Filter c Band-pass Filter d Band-stop Filter 2.2 Block diagram of image parameter method 14 2.3 Block diagram of insertion loss method 15 2.4 Frequency response of Butterworth and Chebyshev 17

2.5 Low pass filter prototype

17 2.6 A generalized Chebyshev low-pass prototype filter having 18 three transmission zeros at infinity and N-3 at a finite frequency b The dual 2.7 The generalized Chebyshev insertion-loss response 19 2.8 a Microstrip line b Electric and magnetic field 20 distribution in the microstrip line 2.9 Suspended substrate stripline technology 21 2.10 RO4000 Series Materials Dielectiec Constant vs Frequency 24 2.11 RO4000 Series Materials Dielectric Constant vs Frequency 25 3.1 Project flow chart 28 3.2 4 th degree Chebyshev capacitively coupled bandpass filter 32 3.3 Simulated response of the 4 th degree Chebyshev 32 capacitively coupled bandpass filter 3.4 A generalized Chebyshev low-pass prototype filter having 34 three transmission zeros at infinity and N-3 at a finite frequency 3.5 7 th degree generalized Chebyshev low pass prototype 34 3.6 Richard‟s transformation of lumped elements 39 4.1 Equivalent circuit of the 7 th order generalized Chebyshev 45 low-pass filter 4.2 Simulated frequency response of the 7 th order generalized 45 Chebyshev low-pass filter 4.3 Circuit of 7 th order generalized Chebyshev low-pass 46 distributed filter 4.4 Simulated frequency response of the 7 th order generalized 46 Chebyshev low pass distributed filter 4.5 Open and short circuited stubs design 47 4.6 Frequency response of stubs circuit 47 4.7 Generated layout using ADS Momentum 48 4.8 Simulation result of momentum layout 48 4.9 3D visualization using ADS Momentum 49 4.10 End product of 7 th Chebyshev Lowpass Filter 49 4.11 Measurement result using network analyzer 50 NOMENCLATURE ADS Advanced Design System GHz Giga Hertz MHz Mega Hertz IEEE Institution of Electrical and Electronic Engineer IL Insertion Loss P LR Power Loss Ratio RL Return Loss RF Radio Frequency TEM Transverse Electromagnetic Wave UWB Ultra Wideband SYMBOLS Percentage Pi λ Wavelength Ω Ohm Propagation Constant C Capacitance dB Decibel f c Cut-off frequency k Constant l Length of stub L Inductance m M-derived Constant N Number of order n Number of order S 11 Return Loss S 21 Insertion Loss Z o Characteristic impedance CHAPTER 1 INTRODUCTION

1.0 Introduction