The design and implementation of multiplierless nonrecursive linear phase discrete time filters

Abstract

This paper develops techniques for the design and implementation of linear phase discrete time filters that are implemented using only delays, adds and subtracts. Sometimes called discrete time linear phase transport processors, these filters have finite length integer valued impulse responses. The design technique developed in this paper determines an optimal integer valued impulse response that minimizes the mean square error in the filter's passband and stopband while bounding the impulse response values to a specified value. The implementation technique developed in this paper generates a structure that can realize integer valued impulse responses using only delays, adds and substracts.