Design of N-dimensional hyperquadrantally symmetric FIR filters using the McClellan transform

A method for designing hyperquadrantally symmetric N-D FIR-filters is presented. Using the first order McClellan transform to map the N-D frequency space onto the 1-D frequency line it is possible to design hyperquadrantally symmetric N-D filters very accurately. The coefficients of the McClellan transform are selected by optimizing a well defined optimization criterion. Although the proposed method is a generalization to an existing method for the 2-D case, a very elegant and easily computable solution to the optimization problem is presented for the first time