Title :
Steady state analysis of the p-power algorithm for constrained adaptive IIR notch filter
Author :
Shadaydeh, Maha ; Xiao, Yegui ; Kawamata, Masayuki
Author_Institution :
Graduate Sch. of Eng., Tohoku Univ., Sendai, Japan
Abstract :
In this paper, we present the steady state analysis of the p-power algorithm for an adaptive IIR notch filter with constrained poles and zeros for the case when p=3 and the sinusoidal signal is contaminated with additive Gaussian noise. We first derive two difference equations for the convergence of the mean and the Mean Square Error (MSE), and then give the steady state estimation bias and MSE. Stability conditions based on the step size value are also discussed.
Keywords :
Gaussian noise; IIR filters; adaptive filters; convergence of numerical methods; difference equations; filtering theory; mean square error methods; notch filters; numerical stability; poles and zeros; MSE; adaptive IIR notch filter; additive Gaussian noise; constrained poles; constrained zeros; convergence; difference equations; mean square error; p-power algorithm; stability conditions; steady state analysis; steady state estimation bias; step size value; Adaptive filters; Additive noise; Algorithm design and analysis; Convergence; Difference equations; Gaussian noise; IIR filters; Poles and zeros; Signal analysis; Steady-state;
Conference_Titel :
Circuits and Systems, 2002. MWSCAS-2002. The 2002 45th Midwest Symposium on
Print_ISBN :
0-7803-7523-8
DOI :
10.1109/MWSCAS.2002.1187127
