Recursive and nonrecursive realizations of digital filters designed by frequency sampling techniques

A great deal of work has been done recently on techniques for optimally designing finite duration impulse response (FIR) filters. One of these techniques, called frequency sampling, is a method for designing a digital filter from a set of samples of the desired filter frequency response. In this paper we present a unified discussion of the various types of frequency sampling designs and show how to realize them, both recursively and nonrecursively.