4.7 Article

A discrete filled function method for the design of FIR filters with signed-powers-of-two coefficients

期刊

IEEE TRANSACTIONS ON SIGNAL PROCESSING
卷 56, 期 1, 页码 134-139

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2007.901164

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discrete filled function; finite-impulse response (FIR) filter; signed powers-of-two (SPT)

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In this paper, we consider the optimal design of finite-impulse response (FIR) filters with coefficients expressed as sums of signed powers-of-two (SPT) terms, where the normalized peak ripple (NPR) is taken as the performance measure. This problem is formulated as a mixed-integer programming problem. Based on a transformation between two different integer spaces and the computation of the optimal scaling factor for a given set of coefficients, this mixed integer programming problem is transformed into an equivalent integer programming problem. Then, an efficient algorithm based on a discrete filled function is developed for solving this equivalent problem. For illustration, some numerical examples are solved.

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