Multiplierless implementation of Generalized Comb Filters (GCF) based on Chebyshev polynomials

This paper addresses the multiplier free implementation of the Generalized Comb Filters (GCF) based on Chebyshev polynomials. In particular, we focus on GCF rational transfer function implementation for any decimation factor. Our approach ensures the perfect pole-zero cancelation for any GCF filter order. The closed form equation for the implementation complexity in terms of the numbers of two-input adders and shifts is also provided.