Title :
An efficient gradient-based iteration for direct form II sensitivity reduction
Author :
DeBrunner, Victor E. ; Beex, A.A.
Author_Institution :
Bradley Dept. of Electr. Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
Abstract :
A reasonable coefficient sensitivity measure for state-space recursive, finite-wordlength, digital filters is the sum of the L 2 norm of all first-order partials of the system function with respect to the system parameters. This measure is actually a lower bound approximation to the output quantization noise power. A gradient-based method for sensitivity minimization of direct-form II (infinite-impulse) filters is given. ARMA (autoregressive moving-average) sensitivity gradients are shown to consist also of ARMA auto- and cross-covariances, facilitating closed-form efficient evaluations. Some examples show the effectiveness of this procedure. The use of the design method in other filter forms is considered
Keywords :
analogue-digital conversion; digital filters; filtering and prediction theory; iterative methods; sensitivity; ARMA sensitivity gradients; autocovariance; closed-form efficient evaluations; crosscovariance; direct form II sensitivity reduction; efficient gradient-based iteration; first-order partials; infinite impulse filters; output quantization noise power; state space recursive finite wordlength digital filters; Difference equations; Filters; Newton method; Noise reduction; Optimization methods; Poles and zeros; Polynomials; Quantization; State-space methods; Transfer functions;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on
Conference_Location :
New York, NY
DOI :
10.1109/ICASSP.1988.196972
