The design of multi-dimensional complex-valued FIR digital filters by Projections onto Convex Sets

We propose the design of multi-dimensional (m-D) complex-valued FIR digital filters using the thoery of Projection onto Convex Sets (POCS). The proposed design algorithm is a generalization of the one-dimensional (1-D) real-valued FIR filter design cases reported in [1, 2] to m-D complex-valued FIR filters. Simulation results show that the resulting frequency responses possess an approximate equiripple nature. Also, they illustrate superior designs using POCS when compared with the complex Remez filter design method previously reported in [3].