Pole-Radius-Varying IIR Notch Filter With Transient Suppression

In this paper, a new IIR notch filter with transient suppression is proposed. The proposed algorithm utilizes a varying pole radius to significantly reduce the transient effect when eliminating a sinusoidal interference in signal enhancement. Based on a time-varying linear difference equation, the analytical solution to a sinusoidal interference is found. With a given tolerance of the transient disturbance, a scheme is derived to predict the duration of the transient response and to determine the damping parameter used for changing the pole radius. Computer simulations demonstrate that the developed pole-radius-varying IIR notch filter significantly outperforms the traditional IIR notch filter.

[1]  Pavel Zahradnik,et al.  Fast analytical design algorithms for FIR notch filters , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[2]  Y. T. Zhang,et al.  A fast recursive-least-squares adaptive notch filter and its applications to biomedical signals , 2006, Medical & Biological Engineering & Computing.

[3]  N.V. Thakor,et al.  Applications of adaptive filtering to ECG analysis: noise cancellation and arrhythmia detection , 1991, IEEE Transactions on Biomedical Engineering.

[4]  Alireza R. Bakhshai,et al.  Estimation of Power System Frequency Using Adaptive Notch Filter , 2005, 2005 IEEE Instrumentationand Measurement Technology Conference Proceedings.

[5]  Peter Händel,et al.  Tracking analysis of an adaptive notch filter with constrained poles and zeros , 1994, IEEE Trans. Signal Process..

[6]  Zhang Li,et al.  The Design of IIR Digital Notch Filters , 2009, 2009 International Forum on Computer Science-Technology and Applications.

[7]  J. Piskorowski.  Digital $Q$-Varying Notch IIR Filter With Transient Suppression , 2010, IEEE Transactions on Instrumentation and Measurement.

[8]  Y. Xiao,et al.  Steady-state analysis of a plain gradient algorithm for a second-order adaptive IIR notch filter with constrained poles and zeros , 2001 .

[9]  M. Ferdjallah,et al.  Adaptive digital notch filter design on the unit circle for the removal of powerline noise from biomedical signals , 1994, IEEE Transactions on Biomedical Engineering.

[10]  Li Tan,et al.  Digital Signal Processing: Fundamentals and Applications , 2013 .

[11]  Xiaobo Tan,et al.  A novel adaptive IIR notch filter for frequency estimation and tracking , 2010, 2010 3rd International Conference on Computer Science and Information Technology.

[12]  Li Tan,et al.  Novel adaptive IIR filter for frequency estimation and tracking [DSP Tips&Tricks] , 2009, IEEE Signal Process. Mag..

[13]  Soo-Chang Pei,et al.  Elimination of AC interference in electrocardiogram using IIR notch filter with transient suppression , 1995, IEEE Transactions on Biomedical Engineering.

[14]  P.S. Hamilton,et al.  A comparison of adaptive and nonadaptive filters for reduction of power line interference in the ECG , 1996, IEEE Transactions on Biomedical Engineering.

[15]  Arye Nehorai.  A minimal parameter adaptive notch filter with constrained poles and zeros , 1985, IEEE Trans. Acoust. Speech Signal Process..

[16]  I. Claesson,et al.  Notch Filtering of humming GSM mobile telephone noise , 2005, 2005 5th International Conference on Information Communications & Signal Processing.

[17]  S. Ovaska,et al.  Design and implementation of efficient IIR notch filters with quantization error feedback , 1994 .

[18]  Alireza K. Ziarani,et al.  A nonlinear adaptive method of elimination of power line interference in ECG signals , 2002, IEEE Transactions on Biomedical Engineering.