Design of stable two-dimensional IIR digital filters with arbitrary magnitude function

A technique for designing two-dimensional (2-D) digital filters which can approximate arbitrary magnitude functions is proposed. A 2-D spectral factorization technique is used to obtain the recursively computable and stable system with nonsymmetric half-plane support from a given 2-D magnitude function. A new class of realizable 2-D digital filters referred to as 2-D log magnitude approximation (2-D LMA) filters are used to approximate the system obtained by the 2-D factorization. The design procedure is straightforward and computationally efficient. A simple stability condition which guarantees the stability of the designed 2-D LMA filter is given. An efficient network structure of 2-D LMA filters for parallel implementation is also discussed