✦ LIBER ✦

Least-squares design of two-dimensional recursive filters with specified magnitude and linear phase

✍ Scribed by L.F. Chaparro; G. Shufelt

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 522 KB
Volume: 321
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(86)90070-0

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✦ Synopsis

An eficient space-domain procedure is presentedfor the design of two-dimensional recursivejlters with specijied magnitude and linear phase. The design procedure is based on both the canonical and the modijed least-squares approximation techniques. The nonlinear equations obtained in the canonical least-squares approximation are ejiciently solved by the onedimensional Gauss-Newton optimization method, after the two-dimensional data are lexicographically ordered. The gradient and the Hessian matrix, needed in the solution, are calculated recursively. Initial values of the parameters are obtained from the linear modijied least-squares (MLS) approximation. To illustrate the eficiency of the proposed design procedure, the design of fan and circularly symmetricJilters are given.

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