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Absorptive Reflectionless Filters Portland State University PDXScholar Dissertations and Theses Dissertations and Theses 3-11-2020 Absorptive Reflectionless Filters Guy Barry Lemire Portland State University Follow this and additional works at: https://pdxscholar.library.pdx.edu/open_access_etds Part of the Electrical and Computer Engineering Commons Let us know how access to this document benefits ou.y Recommended Citation Lemire, Guy Barry, "Absorptive Reflectionless Filters" (2020). Dissertations and Theses. Paper 5501. https://doi.org/10.15760/etd.7375 This Thesis is brought to you for free and open access. It has been accepted for inclusion in Dissertations and Theses by an authorized administrator of PDXScholar. Please contact us if we can make this document more accessible: [email protected]. Absorptive Reflectionless Filters by Guy Barry Lemire A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science in Electrical and Computer Engineering Thesis Committee: Branimir Pejcinovic, Chair Martin Siderius Richard Campbell Portland State University 2020 Abstract For many applications requiring some sort of signal filtering or signal conditioning, the filter requirements are usually approached with a single purpose in mind, which is to maximize both passband signal amplitude and stop band signal attenuation to the load with little to no thought given to what happens to the stop band signal energy. Many conventional filters have very poor impedance matching in the stopband resulting in reflected energy or large return loss (S11). This reflected energy can then cause interactions with adjoining system components which do not in general respond well to spurious reflected energy and can result in degradation of system performance or other unintended consequences [1]. This thesis implements and verifies the design procedure and examines the frequency scaling of a novel passive filter design methodology proposed by Morgan and Boyd [2] which the authors claim results in an easy to realize reflectionless filter which has stopband reflection response superior to conventional passive filters. Following the proposed design methodology, a reflectionless filter was simulated and then realized in a hardware prototype and good agreement observed between simulation and measurement results. To determine the quality of stopband response, the reflectionless filter response was compared to a Butterworth admittance complimentary diplexer designed using accepted techniques [3], [4], [5]. The reflectionless filter showed similar measured stopband response to the diplexer but this was gained with a much simpler design process than was required for the diplexer. i To verify the ability of the procedure to scale the design requirements, a filter with a decade wider bandwidth was also designed and the measured response compared to a similarly scaled Butterworth diplexer. For this frequency range of interest, the reflectionless filter exhibited superior stopband rejection when compared to the diplexer. Simulation and measured results were in good agreement for both filters. In conclusion, this work was able to realize a reflectionless filter using Morgan and Boyd’s design procedure and the measured results were in good agreement with simulation results. The stopband of the reflectionless filter was comparable to a similar diplexer but with much less design effort required. The scaling of design parameters for reflectionless filters was also demonstrated. ii Dedication To Nancy De Martino iii Acknowledgements I would like to thank the following people and institutions who were instrumental in their support during the progress of this work. I would like to thank my advisor Branimir Pejcinovic for his help and guidance in making this a great learning experience. My committee members, Richard Campbell and Martin Siderius for their time and insightful suggestions. I wanted to thank Matthew A. Morgan for his very generous help in promptly and fully answering my questions. I would like to thank Synopsys for the use of their lab facilities and equipment and my manager Christian de Verteuil for his patience in allowing me to spend time to focus on completing this work. I would like to thank both Modelithics and Keysight for the support and student licenses for their respective software which allowed me to complete this work. iv Table of Contents Abstract............................................................................................................................................ i Dedication ..................................................................................................................................... iii Acknowledgements ...................................................................................................................... iv List of Tables ................................................................................................................................. vii List of Figures ............................................................................................................................... viii Glossary ..........................................................................................................................................ix Chapter 1: Introduction ................................................................................................................ 1 Chapter 2: Background and Theory ............................................................................................ 5 2.1 Even-Odd Mode Analysis ............................................................................................ 10 2.2 Filter Design Procedure ............................................................................................... 13 2.2.1 Step 1 – Even Mode Equivalent Half Circuit ............................................................ 13 2.2.2 Step 2 – Odd Mode Equivalent Half Circuits ............................................................ 14 2.2.3 Step 3 – Symmetrical Topology ............................................................................... 15 2.2.4 Step 4 - Determination of Component Values......................................................... 18 2.3 Single Stage Nth order Filters ..................................................................................... 19 Chapter 3: Reflectionless Filter Realization - Simulation ....................................................... 22 3.1 Design of Ideal Filter ................................................................................................... 22 3.2 Simulation of Ideal Low-Pass Filter ............................................................................. 26 3.3 Ideal Low-Pass Filter Results ....................................................................................... 27 3.4 Simulation of Non-ideal Filter ..................................................................................... 29 3.4.1 Non-ideal Components ............................................................................................ 29 3.4.2 PCB Stack-up ............................................................................................................ 30 3.4.3 Microstrip Transmission Lines ................................................................................. 30 3.4.4 ADS Non-ideal Testbench ........................................................................................ 31 3.5 Comparing Ideal and Non-Ideal Simulated Filter Results ........................................... 33 Chapter 4: Filter Realization – Fabrication .............................................................................. 35 4.1 PCB Schematic Design ................................................................................................. 35 4.2 PCB Layout and Assembly ........................................................................................... 38 4.3 Butterworth Diplexer .................................................................................................. 40 Chapter 5: Experimental Results ............................................................................................... 41 5.1 Frequency Scaling ....................................................................................................... 48 Chapter 6: Discussion, Conclusions and Future Work ........................................................... 51 6.1 Discussion .................................................................................................................... 51 6.2 Conclusion ................................................................................................................... 54 6.3 Future Work ................................................................................................................ 54 References .................................................................................................................................... 57 Appendix A - Butterworth Diplexer .......................................................................................... 59 Appendix B - VNA Calibration .................................................................................................... 63 Appendix C - Automatic Fixture Removal (AFR) ...................................................................... 64 Appendix D – Simulation Library ............................................................................................... 66 Appendix E – Duality ..................................................................................................................
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