Title :
Improved L2-sensitivity for state-space digital system
Author_Institution :
Dept. of Electr. Eng., Sydney Univ., NSW, Australia
fDate :
4/1/1997 12:00:00 AM
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 measure can be applied in the system optimization, resulting in a computationally efficient and very low L2-sensitivity structure. The theoretical result is verified by a numerical example
Keywords :
digital systems; linear systems; optimisation; quantisation (signal); sensitivity analysis; state-space methods; transfer function matrices; L2-sensitivity; coefficients quantization; finite wordlength system; infinite wordlength system; linear state-space digital systems; structure matrices; system optimization; transfer function deviation; Digital signal processing; Digital systems; Equations; Frequency dependence; Hardware; Minimization methods; Quantization; Symmetric matrices; Transfer functions; White noise;
Journal_Title :
Signal Processing, IEEE Transactions on
