一種采用較少加法器的FIR濾波器實現方法
Realization of FIR Filter with Minimum Adders
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摘要: 該文提出的無乘法器結構的濾波器實現方法主要基于移位相加操作、子表達式和乘法器模塊的思想。首先提出部分共同子表達式概念,然后引入矩陣分析法尋找合適的部分共同子表達式,盡可能減少加法器數目。通過比較可以看出,采用這種結構的濾波器實現方法比一般方法大大節(jié)省硬件資源。另外,該文對所提出的用部分共同子表達式減少加法器數目的方法進行了理論分析,結果表明這種方法尤其適合于抽頭系數較多的情況,可以大大減少搜索運算量。Abstract: This paper presents a realization scheme based on shifting and adding operation, sub-expression, and multiplier module. First it gives the definition of partly-common sub-expression. Then it introduces a matrix used for searching proper partly-common sub-expressions. Through the comparison, it is found that this presented realization scheme will use less hardware than ordinary schemes. In addition, theoretic analysis gives us a conclusion that this method especially fits for filters with many coefficients.
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Ping W W. Fully sigma-delta modulation encoded FIR filter[J].IEEE Trans. on Signal Processing.1992, 40(6):1605-[2]Hartley R. Optimization of canonic signed digit multipliers for filter design, Proc. IEEE International Symposium on Circuits and Systems, Singapore, June 1991: 1992- 1995.[3]Bull D R, Horrocks D H. Primitive operator digital filters[J].IEE Proc.-G: Circuits, Devices and Systems.1991, 138(3):401-412[4]Mehendale M, Sherlekar S D, Venkatesh G. Synthesis of multiplier-less FIR filters with minimum number of additions,IEEE/ACM International Conference on Computer-Aided Design:Digest of Technical Papers, San Jose, California, Nov. 1995:668 - 671. -
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