A new approach to the design of complex all-pass IIR digital filters
Journal
Signal Processing
Journal Volume
40
Journal Issue
44595
Pages
207-215
Date Issued
1994
Date
1994
Author(s)
Shyu, Jong-Jy
Abstract
A 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.
Subjects
Complex all-pass IIR digital filter; Equiripple all-pass filter
Other Subjects
Convergence 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 filters
Type
journal article
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