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Simultaneous Approximation for IIR Digital Filters with Log Magnitude and Phase Response
Masahiro OKUDA Masaaki IKEHARA Shinichi TAKAHASHI
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E79A
No.11
pp.18791885 Publication Date: 1996/11/25 Online ISSN:
DOI: Print ISSN: 09168508 Type of Manuscript: PAPER Category: Digital Signal Processing Keyword: IIR digital filter, log magnitude response, steepest decent method, robust algorithm,
Full Text: PDF>>
Summary:
In this paper, we propose a new design algorithm for nearly linear phase IIR digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitudesquared error and phase squared error, and so it is possible to control log magnitude and phase response directly. The gradient vector of the proposed error function is easily calculated as the closed form solution because of its nature, in which the real and imaginary part of the logarithm of a complex transfer transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.

