Minimum noise realization of frequency sampling FIR filters

The finite precision effects issue connected with the recursive realization of frequency sampling FIR (finite impulse response) filters is considered. In particular, the performance (in terms of noise gain) of the frequency sampling filters is evaluated for the following three different realizations of the second-order elementary sections: the canonical direct form, the minimum roundoff noise structure, and the suboptimal state-space structure introduced by B.W. Bomar (1989). The findings are illustrated by several computer simulation results. The analysis of the results obtained documents that Bomar´s structure or minimum roundoff noise structures qualify as practical vehicles for the realization of frequency sampling filters