✦ LIBER ✦

Design of 2-D recursive digital filters with constant group delay characteristics

✍ Scribed by N. Nagamuthu; M.A. Sid-Ahmed; M. Ahmadi

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 599 KB
Volume: 320
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(85)90045-6

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✦ Synopsis

In this work a modtjication of a scheme developed previously is presented. The technique uses the McClellan transformation applied to a 1-D zero-phase recursive jlter to obtain a 2-D zero-phase recursive jlter which is unstable. The stabilization process is done through the decomposition of the 2-D zero-phasejilter using the spectralfactorization technique intofour single quadrantjlters. The coefjcients of the derived single quadrantJilter can be used as the initial values in a direct optimization scheme to minimize an error criterion, which includes the phase and magnitude response of the filter, hence yielding ,filters satisfying prescribed magnitude and phase characteristics.

A stability error criterion is also formed on the basis of a complex cepstrum and included in the design procedure to guarantee the stability of the designed filter. This method uses a modest amount of computation time and memory. Its usefulness is illustrated by an example.

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