Least square error optimal 2-D FIR filter design for nonsymmetric and symmetric specifications in discrete frequency domain

The least square error optimal design of two-dimensional finite-impulse response (FIR) digital filters when the specifications are given in discrete frequency domain is examined in detail. Optimal filter impulse response is determined for the filter coefficients using the Parseval relation for two-dimensional discrete Fourier transform (DFT) arrays. Simplified expressions for the cases where the frequency response possesses quadrantal symmetry or antisymmetry are also derived.<>