一種采用較少加法器的FIR濾波器實(shí)現(xiàn)方法
Realization of FIR Filter with Minimum Adders
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摘要: 該文提出的無(wú)乘法器結(jié)構(gòu)的濾波器實(shí)現(xiàn)方法主要基于移位相加操作、子表達(dá)式和乘法器模塊的思想。首先提出部分共同子表達(dá)式概念,然后引入矩陣分析法尋找合適的部分共同子表達(dá)式,盡可能減少加法器數(shù)目。通過(guò)比較可以看出,采用這種結(jié)構(gòu)的濾波器實(shí)現(xiàn)方法比一般方法大大節(jié)省硬件資源。另外,該文對(duì)所提出的用部分共同子表達(dá)式減少加法器數(shù)目的方法進(jìn)行了理論分析,結(jié)果表明這種方法尤其適合于抽頭系數(shù)較多的情況,可以大大減少搜索運(yùn)算量。
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關(guān)鍵詞:
- FIR濾波器; 部分共同子表達(dá)式; 移位相加; 乘法模塊; 無(wú)乘法器
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. -
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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