Multiplication and Accumulation Co-Optimization for Low Complexity FIR Filter Implementation

In multiplierless finite impulse response (FIR) filters, the product accumulation block (PAB) could be major contributor to hardware complexity, especially for high-order filters. this paper, an optimization scheme where constant multiplication and PAB are jointly optimized at bit-level is proposed minimize complexity. joint optimization, multiple multiplications (MCM) rearranged into several MCM sub-blocks. The products summed locally before reduce word-length of structural adders. It shown that symmetric property linear phase FIR filters can utilized in some cases further complexity multiplications. Quantitative analyses also presented study relationship between optimum group size coefficient values as well filter orders. there no fixed structure with different word-lengths orders, each needs specifically achieve minimum Implementation results validate effectiveness method.