Title :
Robust adaptive infinite impulse response notch filters: a novel state-space approach
Author :
Liang, Junli ; Wang, Shijun ; Yang, Shuyuan
Author_Institution :
Inst. of Acoust., Chinese Acad. of Sci., Beijing
Abstract :
In this paper, a robust adaptive Kalman algorithm for a second-order infinite impulse response (IIR) notch filter to detect the frequency of sinusoid signal in the white Gaussian noise is proposed. Firstly, a general expression for the steady-state sinusoid frequency estimation based on minimum mean square error (MMSE) criterion in terms of state-space equations is derived. Secondly, a robust adaptive Kalman algorithm for the state-space equations with unknown noise statistics is given. Finally, computer simulation results are presented to confirm the effectiveness of the proposed algorithm
Keywords :
Gaussian noise; IIR filters; adaptive Kalman filters; adaptive signal detection; adaptive signal processing; least mean squares methods; notch filters; white noise; IIR notch filter; MMSE criterion; infinite impulse response notch filters; minimum mean square error criterion; robust adaptive Kalman algorithm; robust adaptive notch filters; sinusoid signal detection; state-space equation; white Gaussian noise; Adaptive filters; Adaptive signal detection; Equations; Frequency; Gaussian noise; Genetic expression; IIR filters; Kalman filters; Noise robustness; Steady-state;
Conference_Titel :
Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on
Conference_Location :
Island of Kos
Print_ISBN :
0-7803-9389-9
DOI :
10.1109/ISCAS.2006.1693207
