A new self-initiated WLS approximation method for the design of two-dimensional equiripple FIR digital filters

Motivated by their weighted least-squares (WLS) Chebyshev approximation method (finite impulse response), which is for the design of 1-D finite impulse response (FIR) digital filters with arbitrary complex frequency response, the authors propose a novel self-initiated iterative WLS approximation method for the design of 2-D equiripple FIR digital filters with arbitrary 2-D complex frequency response. Several circularly symmetric lowpass filter design examples are provided to justify the good performance of the proposed approximation method. The design examples indicate that the performance of the proposed method is very close to the performance of exchange ascent algorithms