Generalized Optimum Approximation of Filter Banks and its Application to the Iterative Design of Perfect Reconstruction FIR Filter Banks

摘要

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.