Title :
A method of evaluating the effects of signal quantization at arbitrary locations in recursive digital filters
Author :
Worthington, Stephen ; Turner, L.E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Calgary Univ., Alta., Canada
Abstract :
Digital implementations of recursive discrete time linear shift invariant filters require that signals within the filter be quantized. The problem of characterizing the effects of quantization operations at arbitrary locations within recursive digital filters is examined. A bound on the peak amplitude of undesirable error signals due to quantization is developed. This bound can be expressed in both closed form and iterative form. A means of computing the number of iterations required for both the iterative bound and the l1 norm bound to converge to a specified accuracy is derived
Keywords :
convergence; digital filters; discrete time filters; filtering theory; quantisation (signal); recursive filters; error signals; iterative bound; l1 norm bound; linear shift invariant filters; peak amplitude; recursive digital filters; signal quantization; Difference equations; Digital arithmetic; Digital filters; Eigenvalues and eigenfunctions; Large scale integration; Nonlinear filters; Quantization; Quantum computing;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.393796
