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Design of nonrecursive 2-D digital filters using semidefinite programming

The design of linear-phase, nonrecursive, two-dimensional (2-D) digital filters in the minimax sense is considered and it is shown that such a design problem can be formulated as a semidefinite programming (SDP) problem. An SDP-based algorithm is proposed and is then applied to the design of several nonseparable 2-D FIR filters, including circular symmetric and diamond-shaped filters. Experimental results obtained show that our algorithm compares favorably relative to other existing algorithms in terms of design efficiency.