Frequency sampling design of 2-D quadrantally symmetric FIR filtersby 2-D block decomposition technique

摘要

In this brief, two approaches-a direct and a progressive-for thenfrequency-sampling design of 2-D quadrantally symmetric FIR filtersnusing efficient and recursive algorithms are presented. Allowing thensamples to be distributed on sampling curves with shapes similar to thenisocontours of the desired filter response, the method is suitable fornthe design of circular, elliptical, rectangular, or directional FIRnfilters. The method is based on a 2-D block decomposition technique andnit is well suited to parallel computation, since almost all thenoperations are matrix multiplications and/or matrix-vector products. Thenproposed approaches can be also applied for computing 2-D inverse cosinentransforms and can be extended to m-D design problems