Minimax Design of 2-D Complex-Coefficient FIR Filters with Low Group Delay using Semidefinite Programming

Ashira L. Jayaweera, Sakila S. Jayaweera, Chamira U. S. Edussooriya, Chamith Wijenayake, Arjuna Madanayake · 2020

A minimax design for 2-D complex-coefficient FIR filters having asymmetric frequency responses is proposed in this paper. We consider the general form of 2-D FIR filters with low group delay and formulate the minimax design as a semidefinite programming problem. The 2-D linear-phase FIR filters with conjugate-symmetric coefficients are a special case of the proposed design. Example filter designs having near-equiripple magnitude responses are presented to verify the effectiveness of the proposed design method.

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