Design of complex multi-dimensional FIR filters by transformation

This paper extends the transformation method by developing two new efficient procedures for the design of complex and real, positive- and negative-symmetric, multi-dimensional filters by transforming even-length 1-D prototype filters with complex (or real) coefficients. The first procedure is used to design complex multi-dimensional filters with a rectangular region of support having odd-length sides, while the second procedure is used for filters with a rectangular region of support having even-length sides. The designed filters can be implemented efficiently using special Chebyshev structures. Design examples are presented to illustrate the performance of the design procedures.