Shyu, Jong-JyJong-JyShyuSOO-CHANG PEI2009-03-042018-07-062009-03-042018-07-061994http://ntur.lib.ntu.edu.tw//handle/246246/142429https://www.scopus.com/inward/record.uri?eid=2-s2.0-0028550781&doi=10.1016%2f0165-1684%2894%2990068-X&partnerID=40&md5=565992943af5c4d56617a667f09d6340A new method is proposed for designing complex all-pass IIR filters, the all-pass IIR filters with complex coefficients, in this paper. By minimizing the integration of certain square phase error over interested frequencies, an eigenvector of an appropriate real, symmetric and positive-definite matrix is computed to get the filter coefficients. The stability is achieved by specifying properly the desired phase specifications. If an appropriate iterative process is used, equiripple complex all-pass filter design can be obtained. The method is simple and the performance is comparable to the existing methods. Several examples are presented to demonstrate the effectiveness of the approach. © 1994.application/pdf470337 bytesapplication/pdfen-USComplex all-pass IIR digital filter; Equiripple all-pass filterConvergence of numerical methods; Eigenvalues and eigenfunctions; Iterative methods; Matrix algebra; Optimization; Complex all pass infinite impulse response digital filters; Equirriple all pass filter; Filter coefficients; Phase specifications; Digital filtersA new approach to the design of complex all-pass IIR digital filtersjournal article10.1016/0165-1684(94)90068-Xhttp://ntur.lib.ntu.edu.tw/bitstream/246246/142429/1/17.pdf