论文信息 - Robust adaptive infinite impulse response notch filters: a novel state-space approach

Robust adaptive infinite impulse response notch filters: a novel state-space approach

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

Shuyuan Yang | Shijun Wang | Junli Liang

[1] Andrew P. Sage,et al. Adaptive filtering with unknown prior statistics , 1969 .

[2] Zi-Li Deng,et al. Optimal and self-tuning white noise estimators with applications to deconvolution and filtering problems , 1996, Autom..

[3] Noppin Anantrasirichai,et al. A robust variable step-size LMS-like algorithm for a second-order adaptive IIR notch filter for frequency detection , 2001, 2001 IEEE Third Workshop on Signal Processing Advances in Wireless Communications (SPAWC'01). Workshop Proceedings (Cat. No.01EX471).

[4] Amr El-Keyi,et al. Robust adaptive beamforming based on the Kalman filter , 2005, IEEE Transactions on Signal Processing.

[5] R. Mehra. On the identification of variances and adaptive Kalman filtering , 1970 .

[6] Yuan-Hwang Chen,et al. Adaptive beamforming using the constrained Kalman filter , 1993 .