1. Least-squares approach to IIR digital filters and an application to equiripple solutions.
- Author
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Okuda, Masahiro, Ikehara, Masaaki, and Takahashi, Shin-Ichi
- Subjects
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LEAST squares , *CHEBYSHEV approximation , *MATHEMATICS , *APPROXIMATION theory , *ELECTRONICS , *COMMUNICATION - Abstract
This paper formulates the modified least-squares method presented by Mullis in a general form so that weighting can be applied. Then, all algorithm is proposed with which a least-squares approximation can be derived for an IIR digital filter, by solving iteratively a system of equations. The method is extended to a complex Chebyshev approximation that minimizes the maximum magnitude of the complex error, by multiplying the weight, which is newly derived in this paper, with the modified least-squares error. The method is compared with a conventional complex Chebyshev approximation by means of a computer simulation and the effectiveness of the proposed method is demonstrated. © 1998 Scripta Technica. Electron Comm Jpn Pt 3, 81(7): 28–36, 1998 [ABSTRACT FROM AUTHOR]
- Published
- 1998
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