Consideration on the Optimum Interpolation and Design of Linear Phase Filterbanks with High Attenuation in Stop Bands

摘要

In the literatures [5] and [10], a systematic dis- cussion ispresented with respect to the optimum interpolation ofmulti-dimensional signals. However, the measures of error in theseliteratures are defined only in each limited block separately.Further, in these literatures, most of the discussion is limited totheoretical treatment and, for example, realization of higher or- derlinear phase FIR filter bank is not considered. In this paper, wewill present the optimum interpolation functions minimizing variousmeasures of approximation error simultaneously.