Noise Analysis of Statistical Performance and Correlation for Adaptive Notch Filter

doi:10.3969/j.issn.0372-2112.2018.09.010

PDF(1400 KB)

ACTA ELECTRONICA SINICA ›› 2018, Vol. 46 ›› Issue (9) : 2108-2114. DOI: 10.3969/j.issn.0372-2112.2018.09.010

Noise Analysis of Statistical Performance and Correlation for Adaptive Notch Filter

LI Ming, TU Ya-qing, SHEN Yan-lin, SHEN Ting-ao, MAO Yu-wen

Author information +

History +

Abstract

Noise are one of the main reasons for biased frequency estimation of ANF (Adaptive Notch Filter). Noise will greatly affect the performance of ANF frequency estimation method under low SNR. When analyzing the ANF statistical performance, some linear approximation methods for ANF transfer function will degrade, the performance of ANF frequency estimation method cannot be evaluated precisely. So the noise statistical performances of mean and variance after different transform are analyzed by using correlation function and power spectrum method. Noise statistical performance results are used for performance analysis of ANF frequency estimation method, meanwhile a theoretical analysis foundation is established to improve the accuracy of ANF frequency estimation method. The performances of ANF frequency estimation method are compared by the theoretical values and the actual values, which show the effectiveness of the noise analysis method, and the steady-state performance of frequency estimation can be estimated approximately.

Key words

sinusoidal signal / noise analysis / adaptive notch filter / frequency estimation

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

LI Ming, TU Ya-qing, SHEN Yan-lin, SHEN Ting-ao, MAO Yu-wen. Noise Analysis of Statistical Performance and Correlation for Adaptive Notch Filter[J]. Acta Electronica Sinica, 2018, 46(9): 2108-2114. https://doi.org/10.3969/j.issn.0372-2112.2018.09.010

References

[1] ZHENG SQ,FENG R.Feedforward compensation control of rotor imbalance for high-speed magnetically suspended centrifugal compressors using a novel adaptive notch filter[J].Journal of Sound and Vibration,2016,366(3):1-14.
[2] ZHU R,YANG F,YANG J.An RLS-Based lattice-form complex adaptive notch filter[J].IEEE Signal Processing Letters,2016,23(2):217-221.
[3] GUANX,HU DH,ZHONG LH,et al.Strong echo cancellation based on adaptive block notch filter in passive radar[J].IEEE Geoscience & Remote Sensing Letters,2015,12(2):339-343.
[4] DANIELE B.Loop analysis of adaptive notch filters[J].IET Signal Processing,2016,10(6):659-669.
[5] 丁康,谢明,杨志坚.离散频谱分析校正理论与技术[M].北京:科学出版社,2008.58-65. DING K,XIE M,YANG ZJ.The Theory and Technology of Discrete Spectrum Correction[M].Beijing:Science Press,2008.58-65.(in Chinese)
[6] 毛育文,涂亚庆,张海涛,等.计及负频率的极高频信号离散频谱校正新方法[J].振动、测试与诊断,2012,32(3):477-482. MAO YW,TU YQ,ZHANG HT,et al.New discrete spectrum correction method with negative frequency contribution for ultra high frequency signals[J].Journal of Vibration,Measurement & Diagnosis,2012,32(3):477-482.(in Chinese)
[7] 李明,涂亚庆,沈廷鳌,等.自适应陷波滤波器频率估计新方法及性能分析[J].电子学报,2014,42(1):49-57. LI M,TU YQ,SHEN TA,et al.A new frequency estimation method based on adaptive notch filter and its performance analysis[J].Acta Electronica Sinica,2014,42(1):49-57.(in Chinese)
[8] 储昭碧,张崇巍,冯小英.基于自适应陷波滤波器的频率和幅值估计[J].自动化学报,2010,36(1):60-66. CHU ZB,ZHANG CW,FENG XY.Adaptive notch filter-based frequency and amplitude estimation[J].Acta Automatica Sinica,2010,36(1):60-66.(in Chinese)
[9] NIEDZ WIECKI M,KACZMAREK P.Self-optimizing generalized adaptive notch filters-comparison of three optimization strategies[J].Automatica,2009,45(1):68-77.
[10] PUNCHALARD R,LORSAWATSIRI A,LOETWASSANA W,et al.Direct frequency estimation based adaptive algorithm for a second-order adaptive FIR notch filter[J].Signal Processing,2008,88(2):315-325.
[11] PUNCHALARD R.Mean square error analysis of unbiased modified plain gradient algorithm for second-order adaptive ⅡR notch filter[J].Signal Processing,2012,92(11):2815-2820.
[12] 李明,涂亚庆,沈廷鳌,等.二阶自适应陷波器频率估计方法统计性能分析[J].信号处理,2013,29(6):734-742. LI M,TU YQ,SHEN TA,et al.Statistical performance analysis of frequency estimation method with second order adaptive notch filter[J].Signal Processing,2013,29(6):734-742.(in Chinese)
[13] XIAO Y,TAKESHITA Y,SHIDA K.Steady-state analysis of a plain gradient algorithm for a second-order adaptive ⅡR notch filter with constrained poles and zeros[J].IEEE Transactions on Circuits and Systems Ⅱ:Analog and Digital Signal Processing,2001,48(7):733-740.
[14] PUNCHALARD R,LORSAWATSIRI A,KOSEEYAPORN J,et al.Adaptive ⅡR notch filters based on new error criteria[J].Signal Processing,2008,88(3):685-703.
[15] LOETWASSANA W,PUNCHALARD R,KOSEEYAPORN J,et al.Unbiased plain gradient algorithm for a second-order adaptive ⅡR notch filter with constrained poles and zeros[J].Signal Processing,2012,90(8):2513-2520.
[16] 李明,涂亚庆,沈廷鳌,等.极端频率直接估计的新自适应陷波器方法[J].振动工程学报,2014(5):785-793. LI M,TU YQ,SHEN TA,et al.Extremely frequency direct estimation algorithm based on new adaptive notch filter (ANF) and its performance analysis[J].Journal of Vibration Engineering,2014(5):785-793.(in Chinese)

Funding

National Natural Science Foundation of China (No.61601493, No.61501491); Natural Science Foundation of Chongqing Municipality, China (No.CSTC2015jcyjA00029)