Roundoff noise analysis of finite wordlength realizations with the implicit state-space framework

The analytic evaluation of the system output roundoff noise is an interesting approach to analyze the effect of a Finite Word Length implementation of linear filters. Previous works have introduced the Roundoff Noise Gain in this context and applied it to shift and δ-realizations. To generalize them, the paper is based on a more general representation and exhibits the output noise power in the general case. Finally, the problem optimal realization problem, according to the Roundoff Noise Gain measure, is considered.