①Institute of Communication Engineering PLA Univ. of Sci & Tech., Nanjing 210007 China;②Institute of Command Automation, PLA Univ. of Sci & Tech., Nanjing 210007 China
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.