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This paper presents the design of high-speed, multiplier free, arbitrary bandwidth shape FIR filters based on frequency response masking technique (FRM). The FRM filter structure has been modified to improve the throughput by replacing long bandedge shaping filter with several cascaded short filters [Yong Lian, 2000]. Genetic algorithm (GA) is introduced to simultaneously optimize all subfilters in a cascaded connection. The coefficients of all subfilters are quantized to signed power-of-two (SPoT) values to eliminate multipliers in the filter implementation. It is shown by example that the coefficient word length for each cascaded short filter has been reduced significantly.