AWR eBooks

RF Electronics Chapter 7: RF Filters Page 209 2022, C. J. Kikkert, James Cook University, ISBN 978-0-6486803-9-0. These two are related and one can be derived from the other. For some filter types, like Butterworth filters, simple equations can be used for the normalised lowpass filter prototype. Filter Tables For RF designs K and Q tables are better than the LC filter tables or equations, since they include the effect of finite Q values in the resonators used. A good book for filter tables is "Handbook of Filter Synthesis" by A. I. Zverev, Wiley, 1967 [1] and more recently from Artech House. This together with Matthaei, Young, and Jones, "Microwave Filters, Impedance-Matching Networks, and Coupling Structures" [2] these are RF filter design classics and are still in print. Chapter 8 of Pozar [3] also describes microwave filters. Table 7.1a. Butterworth Response, K And Q Value filter table, From Zverev[1], pp 341. n q0 I. L. q 1 q n k 12 k 23 k 34 k 45 2 INF. 0.000 1.4142 1.4142 0.7071 14.142 0.915 1.4142 1.4142 0.7071 7.071 1.938 1.4142 1.4142 0.7071 4.714 3.098 1.4142 1.4142 0.7071 3.536 4.437 1.4142 1.4142 0.7071 2.829 6.021 1.4142 1.4142 0.7071 2.357 7.959 1.4142 1.4142 0.7071 2.020 10.459 1.4142 1.4142 0.7071 3 INF. 0.000 1.0000 1.0000 0.7071 0.7071 20.000 0.958 0.8041 1.4156 0.7687 0.6582 10.000 2.052 0.8007 1.5359 0.7388 0.6716 6.667 3.300 0.9097 1.6301 0.7005 0.6879 5.000 4.742 0.8226 1.7115 0.6567 0.7060 4.000 6.443 0.8406 1.7844 0.6077 0.7256 3.333 8.512 0.8625 1.8497 0.5524 0.7470 2.857 11.157 0.8884 1.9068 0.4883 0.7706 4 INF. 0.000 0.7654 0.7654 0.8409 0.5412 0.8409 26.131 1.002 0.5376 1.4782 1.0927 0.5668 0.6670 13.066 2.162 0.5355 1.6875 1.0745 0.5546 0.6805 8.710 3.489 0.5417 1.8605 1.0411 0.5373 0.6992 6.533 5.020 0.5521 2.0170 1.0004 0.5161 0.7207 5.226 6.822 0.5656 2.1621 0.9547 0.4906 0.7444 4.355 9.003 0.5819 2.2961 0.9051 0.4592 0.7706 3.733 11.772 0.6012 2.4159 0.8518 0.4192 0.7998 RF Electronics: Design and Simulation 209 www.cadence.com/go/awr

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