Optimal design of FIR filter with SP2 coefficients based on semi-infinite linear programming method

Rika Ito, Ryuichi Hirabayashi · 2006

In this paper, we propose a new design method of FIR filters with Signed Power of Two (SP2) coefficients. In the method proposed here, the design problem of FIR filters is formulated as a discrete semi-infinite lin-ear programming problem (DSILP), and the DSILP is solved using a branch and bound technique. We will guarantee the optimality of the solution obtained. Hence, it is possible to obtain the optimal discrete coef-ficients. It is confirmed that the optimal coefficients of linear phase FIR filter with the SP2 coefficients could be designed fast with enough precisions by the compu-tational experiments. 1.

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