Generalized optimum approximation of filter banks and its application to the iterative design of perfect reconstruction FIR filter banks

Yuichi Kida; Takuro Kida

doi:10.1117/12.615824

16 September 2005 Generalized optimum approximation of filter banks and its application to the iterative design of perfect reconstruction FIR filter banks

Yuichi Kida, Takuro Kida

Author Affiliations +

Proceedings Volume 5915, Mathematics of Data/Image Coding, Compression, and Encryption VIII, with Applications; 59150S (2005) https://doi.org/10.1117/12.615824
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

We present the optimum approximation of FIR filter bank that minimizes various measures of error of approximation, simultaneously. The presented approximation is quite flexible in choosing band-width of sub-bands, sample points and analysis filters. A kind of reciprocal relation holds for this approximation. Based on the reciprocal relation, in many examples, we can obtain perfect-reconstruction filter bank, iteratively.

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Yuichi Kida and Takuro Kida "Generalized optimum approximation of filter banks and its application to the iterative design of perfect reconstruction FIR filter banks", Proc. SPIE 5915, Mathematics of Data/Image Coding, Compression, and Encryption VIII, with Applications, 59150S (16 September 2005); https://doi.org/10.1117/12.615824

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