Title :
An improved L2-sensitivity for state-space digital systems
Author_Institution :
Dept. of Electr. Eng., Sydney Univ., NSW, Australia
Abstract :
An improved L2-sensitivity measure for linear state-space digital systems is presented. It gives a more precise evaluation of the transfer function deviation ΔH(z) between the infinite wordlength system and the finite wordlength system when the structure matrices {A,b,c} contain 0 and ±1 coefficients. This new measure can be applied in the system optimization resulting in a computationally efficient and very low L2-sensitivity structure. The theoretical result is confirmed by a numerical example
Keywords :
digital filters; linear systems; optimisation; sensitivity; state-space methods; transfer function matrices; computationally efficiency; finite wordlength system; improved L2-sensitivity; infinite wordlength system; linear state-space digital systems; structure matrices; system optimization; transfer function deviation; Controllability; Digital systems; Equations; Frequency measurement; Hardware; Observability; Quantization; Symmetric matrices; Transfer functions; White noise;
Conference_Titel :
Southeastcon '95. Visualize the Future., Proceedings., IEEE
Conference_Location :
Raleigh, NC
Print_ISBN :
0-7803-2642-3
DOI :
10.1109/SECON.1995.513068
