Element values for Butterworth lowpass prototype

LIST OF TABLES NO TITLE PAGE

2.1 Element values for Butterworth lowpass prototype

9 2.2 Transformation Table 12 3.1 g value for n=4 39 3.2 Transformation TableValues spacing and quality factor 39 3.3 Values spacing and coupling coefficient 40 4.1 g value for n=4 44 4.2 Q e and M ij values 44 4.3 Spacing for n=4 combline filter 46 4.4 S 11 S 21 simulated values 48 4.5 -3dB value for simulated result 49 LIST OF FIGURE NO TITLE PAGE 2.1 Chebyshev and Butterworth Response 7 2.2 LPP for all-pole filter 8 2.3 Microstrip line 22 2.4 Coaxial Cable 23 2.5 Coupled-line 24 2.6 Couple Line Coupler 25 2.7 End-Coupled half-wavelength resonator 26 2.8 Parallel-Coupled half-wavelength resonator 27 2.9 Hairpin Filter 27 2.10 Interdigital Filter 28 2.11 Combline Filter 29 2.12 Coupled Rectangular Bars Centered Between Parallel Bars 33 3.1 Block Diagram 34 3.2 Lowpass Prototype Filter 36 3.3 Lumped Element Bandpass Filter 37 3.4 Resonators Configuration to Determined Spacing 38 3.5 S 21 deg Vs Frequency 38 3.6 Q e Vs Spacing 39 3.7 S 21 dB Vs Spacing 40 3,8 M Vs Spacing 40 3,9 Project Flow Chart 42 4.1 Q e Vs Spacing 44 4.2 M Vs Spacing 44 4.3 EM structure of n=4 combline filter 46 4.4 S 21 and S 11 simulated values 48 4.5 S 21 cutoff values 49 LIST OF ABBREVIATION LPP- Lowpass Prototypes LPF- Lowpass Filter HPF- Highpass Filter BPF- Bandpass Filter BSF- Bandstop Filter S-parameter- Scattering Parameter RF- Radio Frequency FR-4 board- Frequency Redundant 4 board ISM band- Industrial, Scientific and Medical Band ADS- Advanced Design System LIST OF APPENDIXES NO CONTENT A Element value for Chebyshev lowpass prototype B Graph of Attenuation Vs normalized Frequency C Element Values for Chebyshev D Lumped Element Calculation E Quality Factor and Coupling Coefficient Calculation F Design of Microwave Filter G Characteristic of Coupled Microstriplines H Gantt Chart I Technical Report CHAPTER 1 INTRODUCTION Filters play important roles in many RFmicrowave applications including cellular radio, satellite communication, and radar. They are used to separate or combine different frequencies. The electromagnetic spectrum is limited and has to be shared. Therefore, filters are used to select and confine the RFmicrowave signals within assigned spectral limits. The first chapter of this report is the introduction part of the report. In this chapter, the background studies, the problem statements, the objectives and the scope of work will be discussed

1.1 Background Studies