Title :
Finite wordlength effects in two-dimensional multirate periodically time-varying filters
Author_Institution :
Sch. of Electron. & Electr. Eng., Leeds Univ., UK
fDate :
10/1/1997 12:00:00 AM
Abstract :
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
Keywords :
digital arithmetic; error analysis; filtering theory; noise; quantisation (signal); state-space methods; time-varying filters; two-dimensional digital filters; 2D multirate periodically time-varying filters; direct-form structures; finite wordlength effects; input quantisation; mathematical models; product quantisation; quantisation noise; rounding quantisation; state-space structures; statistically-stationary output noise; transmission noise; two´s-complement fixed-point arithmetic; two-dimensional time-varying filters;
Journal_Title :
Circuits, Devices and Systems, IEE Proceedings -
DOI :
10.1049/ip-cds:19971480
