A unified eigenfilter approach to the design of two-dimensional zero-phase FIR filters with the McClellan transform

Abstract

A unified eigenfilter approach is proposed for determining the mean-square-optimal coefficients of the McClellan transformation. The approach applies to all filter shapes without the use of prior knowledge of the properties of the coefficients. Several design examples for arbitrarily shaped and oriented 2-D fan, elliptical, and diamond filters are given to demonstrate the results achieved with this method. Comparisons with other recently published methods are made to demonstrate the advantages of our method.