一种采用较少加法器的FIR滤波器实现方法
Realization of FIR Filter with Minimum Adders
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摘要: 该文提出的无乘法器结构的滤波器实现方法主要基于移位相加操作、子表达式和乘法器模块的思想。首先提出部分共同子表达式概念,然后引入矩阵分析法寻找合适的部分共同子表达式,尽可能减少加法器数目。通过比较可以看出,采用这种结构的滤波器实现方法比一般方法大大节省硬件资源。另外,该文对所提出的用部分共同子表达式减少加法器数目的方法进行了理论分析,结果表明这种方法尤其适合于抽头系数较多的情况,可以大大减少搜索运算量。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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