Synthesis of cascaded quadruplet filters involving complex transmission zeros

2000-06-16
Sen, OA
Sen, Y
Yıldırım, Nevzat
Cascade synthesis approach in transformed frequency domain (z-domain) is reformulated to cover the extraction of complex (s = sigma +j omega) and sigma -axis transmission zeros (TZs) in addition to the usual j omega -axis TZs. It is shown that complex conjugate quadruplets of TZs (s = +/- sigma +/- j omega) can be extracted as fourth order sections by applying zero shifting technique to the TZs at both s=0 and s=infinity. The resulting fourth order sections are then transformed into cross-coupled forms with four coupled resonators, termed as linear phase Cascade Quadruplet (CQ) block. Such CQ blocks can be cascaded with the j omega -axis finite Triplet) blocks to realize linear phase filters with symmetric or asymmetric amplitude response.
Citation Formats
O. Sen, Y. Sen, and N. Yıldırım, “Synthesis of cascaded quadruplet filters involving complex transmission zeros,” 2000, p. 1177, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63276.