Peak constrained two dimensional quadrantally symmetric eigenfilter design without transition band specification

The design of a two dimensional (2D) quadrantally symmetric FIR filter with peak constrained magnitude response is considered. We further considered the design specification without explicitly specifying the transition band. A novel iterative algorithm without transition band specification is proposed to design FIR filters with various design constraints. The eigenfilter formulation further allows the proposed algorithm to incorporate time domain constraints simultaneously. Various design examples are presented to illustrate the versatility of the proposed 2D filter design method. Although we have not proven the convergence of the proposed algorithm, it is found to converge efficiently in all the simulations.