Title :
Stability of the quantized digital filter utilizing saturation nonlinearity
Author :
Xiju Zong ; Xingong Cheng
Author_Institution :
Sch. of Electr. Eng., Univ. of Jinan, Jinan, China
Abstract :
In this paper, the stability of the quantized digital filter utilizing saturation nonlinearity has been investigated through a Lyapunov approach. A new extended stability conditions will be proposed for the quantized digital filter by using saturation nonlinearity with logarithmic quantizers, which have been proofed by giving a numerical example and by theoretical derivation. We got these conditions by bringing in quantization dependent Lyapunov functions.
Keywords :
Lyapunov matrix equations; digital filters; quantisation (signal); extended stability conditions; logarithmic quantizers; quantization dependent Lyapunov functions; quantized digital filter stability; saturation nonlinearity; Asymptotic stability; Circuit stability; Circuits and systems; Numerical stability; Quantization (signal); Stability criteria; Asymptotic stability; Digital filters utilizing saturation nonlinearity; Logarithmic quantization;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162677
