A new approach to the weighted peak-constrained least-square error FIR digital filter optimal design problem |
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Authors: | Liping Zhang Soon-Yi Wu |
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Institution: | (1) Civil Engineering Department, Shahid Bahonar University of Kerman, Kerman, Iran;(2) Civil Engineering Department, Ferdows Branch, Islamic Azad University, Ferdows, Iran |
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Abstract: | This paper deals with the design of linear-phase finite impulse response (FIR) digital filters using weighted peak-constrained
least-squares (PCLS) optimization. The PCLS error design problem is formulated as a quadratically constrained quadratic semi-infinite
programming problem. An exchange algorithm with a new exchange rule is proposed to solve the problem. The algorithm provides
the approximate optimal solution after a finite number of iterations. In particular, the subproblem solved at each iteration
is a quadratically constrained quadratic programming. We can rewrite it as a conic optimization problem solvable in polynomial
time. For illustration, numerical examples are solved using the proposed algorithm. |
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Keywords: | |
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