Generalized optimum approximation of filter banks and its application to the iterative design of perfect reconstruction FIR filter banks
Yuichi Kida, Takuro Kida · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2005
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.