FIR filter design over a discrete powers-of-two coefficient space
TLDR
In this article, a digital filter with discrete coefficient values selected from the powers-of-two coefficient space is designed using the methods of integer programming, and the frequency responses obtained are shown to be superior to those obtained by simply rounding the coefficients.Abstract:
FIR digital filters with discrete coefficient values selected from the powers-of-two coefficient space are designed using the methods of integer programming. The frequency responses obtained are shown to be superior to those obtained by simply rounding the coefficients. Both the weighted minimax and the weighted least square error criteria are considered. Using a weighted least square error criterion, it is shown that it is possible to predict the improvement that can be expected when integer quadratic programming is used instead of simple coefficient rounding.read more
Citations
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Journal ArticleDOI
An improved search algorithm for the design of multiplierless FIR filters with powers-of-two coefficients
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Patent
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Journal ArticleDOI
A simple design of FIR filters with powers-of-two coefficients
Qiangfu Zhao,Yoshiaki Tadokoro +1 more
TL;DR: In this article, a design algorithm for finite-impulse response (FIR) filters with powers-of-two coefficients (2PFIR filters) is presented, which enables the design of 2PFIR filter with sharp cutoff.
References
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Journal ArticleDOI
Discrete coefficient FIR digital filter design based upon an LMS criteria
TL;DR: In this article, the remaining unquantized coefficients of a FIR linear phase digital filter when one or more of the filter coefficients takes on discrete values are optimized using the least square response error.
Journal ArticleDOI
Design of optimal finite wordlength FIR digital filters using integer programming techniques
TL;DR: The application of a general-purpose integer-programming computer program to the design of optimal finite wordlength FIR digital filters is described and an analysis of the approach based on the results of more than 50 design cases is presented.
Journal ArticleDOI
Finite word length FIR filter design using integer programming over a discrete coefficient space
TL;DR: In this article, the improvement achieved by using integer programming over simple coefficient rounding in the design of finite impulse response (FIR) filters with discrete coefficients is most significant when the discrete coefficient space is the powers-of-two space or when a specification is to be met with a given coefficient word length by increasing the filter length.
Journal ArticleDOI
New integer programming scheme for nonrecursive digital filter design
TL;DR: In this paper, a mixed-integer linear programming objective function for linear-phase digital filters is presented, which has the advantages of reducing the number of delays and/or the coefficient wordlength.
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