Finite wordlength effects in two-dimensional multirate periodically time-varying filters

Des McLernon · IEE Proceedings - Circuits Devices and Systems · 1997

The effect of both input and product quantisation is examined for two's-complement, fixed-point arithmetic with rounding quantisation. Both direct-form and state-space structures are considered, and mathematical models for the transmission of the quantisation noise are established. Expressions are derived for the variance of the statistically-stationary output noise, with an example showing how a time-varying filter realisation could be superior to an equivalent time-invariant structure.

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