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A Discrete Filled Function Method for the Design of FIR Filters With Signed-Powers-of-Two Coefficients
Zhi Guo Feng; Kok Lay Teo;
Signal Processing, IEEE Transactions on [see also Acoustics, Speech, and Signal Processing, IEEE Transactions on]
Volume 56,
Issue 1,
Jan. 2008
Page(s):134
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139
Abstract:
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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