An iterative method for optimizing FIR filters synthesized using the two-stage frequency-response masking technique

An efficient technique for drastically reducing the number of multipliers and adders in narrow-transition band linear-phase finite-impulse response filters is to use one-stage or multistage frequency-response masking (FRM) approaches as originally introduced by Lim. It has been observed recently that for the one-stage FRM approach the filter complexity can be considerably reduced by iteratively optimizing the periodic filter and masking filters by properly sharing the frequency-response-shaping responsibilities in their respective frequency regions. In this paper, a similar iterative method is applied to the two-stage FRM structure to reduce the filter complexity even more. An example taken from the literature is included illustrating that the number of adders and multipliers for the resulting filters are less than 75 percent compared with the original designs.