ZHANG Kang, LIU Peng-fei, CAO Zhen-hua, et al. A Multicomponent Signal Decomposition Method: Time-Frequency Filtering Decomposition[J]. Acta Electronica Sinica, 2024, 52(08): 2618-2627.
ZHANG Kang, LIU Peng-fei, CAO Zhen-hua, et al. A Multicomponent Signal Decomposition Method: Time-Frequency Filtering Decomposition[J]. Acta Electronica Sinica, 2024, 52(08): 2618-2627. DOI:10.12263/DZXB.20230758
A Multicomponent Signal Decomposition Method: Time-Frequency Filtering Decomposition
The problems of difficulty and low efficiency in decomposing multicomponent nonstationary nonlinear signal with complex time-frequency characteristics such as contiguity
overlap and intermittency in time-frequency domain are solved. Based on the time-frequency distribution of signal
a multicomponent nonstationary signal decomposition method called time-frequency filtering decomposition (TFFD) is proposed. TFFD gets the fitting IF curve which is consistent with the instantaneous frequency (IF) of the components by fitting the time-frequency datum points which can reflect the instantaneous characteristics and laws of the components in the signal. Based on the time-frequency coordinates of fitting IF curve
the distribution area of component is determined by setting the distance threshold condition. Thus
a time-frequency filter bank is constructed
which is based on fitting IF curve time-frequency coordinates as the central frequency and the bandwidth of distribution area as the passband width
to achieve time-frequency filtering decomposition for multicomponent signal. Through the analysis of the simulation and the actual signal with the representative time-frequency characteristics
and the comparison with the classical signal decomposition methods
it is proved that the TFFD method has good decomposition ability and efficiency.
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CHEN S Q , DONG X J , PENG Z K , et al . Nonlinear chirp mode decomposition: A variational method [J ] . IEEE Transactions on Signal Processing , 2017 , 65 ( 22 ): 6024 - 6037 .
IATSENKO D , MCCLINTOCK P V E , STEFANOVSKA A . Nonlinear mode decomposition: A noise-robust, adaptive decomposition method [J ] . Physical Review E, Statistical, Nonlinear, and Soft Matter Physics , 2015 , 92 ( 3 ): 032916 .
TIWARI P , UPADHYAY S H . Novel self-adaptive vibration signal analysis: Concealed component decomposition and its application in bearing fault diagnosis [J ] . Journal of Sound Vibration , 2021 , 502 : 116079 .
HUANG N E , SHEN Z , LONG S R , et al . The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis [J ] . Proceedings of the Royal Society of London Series A , 1998 , 454 ( 1971 ): 903 - 998 .
SMITH J S . The local mean decomposition and its application to EEG perception data [J ] . Journal of the Royal Society , Interface, 2005 , 2 ( 5 ): 443 - 454 .
FREI M G , OSORIO I . Intrinsic time-scale decomposition: Time-frequency-energy analysis and real-time filtering of non-stationary signals [J ] . Proceedings of the Royal Society of London Series A , 2007 , 463 ( 2078 ): 321 - 342 .
CHEN S Q , PENG Z K , ZHOU P . Review of signal decomposition theory and its applications in machine fault diagnosis [J ] . Journal of Mechanical Engineering , 2020 , 56 ( 17 ): 91 - 107 . (in Chinese)
STANKOVIĆ L , BRAJOVIĆ M , DAKOVIĆ M , et al . On the decomposition of multichannel nonstationary multicomponent signals [J ] . Signal Processing , 2020 , 167 : 107261 .
LIU Q H , LI T Y , WANG B , et al . Symbol rate estimation for CPM signal based on discrete wavelet decomposition and frequency ridge analysis [J ] . Acta Electronica Sinica , 2020 , 48 ( 3 ): 470 - 477 . (in Chinese)
SAULIG N , LERGA J , MILANOVIĆ Ž , et al . Extraction of useful information content from noisy signals based on structural affinity of clustered TFDs’ coefficients [J ] . IEEE Transactions on Signal Processing , 2019 , 67 ( 12 ): 3154 - 3167 .
CICONE A , PELLEGRINO E . Multivariate fast iterative filtering for the decomposition of nonstationary signals [J ] . IEEE Transactions on Signal Processing , 2022 , 70 : 1521 - 1531 .
CHEN S Q , PENG Z K , YANG Y , et al . Intrinsic chirp component decomposition by using Fourier Series representation [J ] . Signal Processing , 2017 , 137 : 319 - 327 .
BRAJOVIĆ M , STANKOVIĆ L , DAKOVIĆ M . Decomposition of multichannel multicomponent nonstationary signals by combining the eigenvectors of autocorrelation matrix using genetic algorithm [J ] . Digital Signal Processing , 2020 , 102 : 102738 .
BOASHASH B . Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals [J ] . IEEE , 1992 , 80 ( 4 ): 520 - 538 .
ZHANG K , TIAN Z Y , CHEN X M , et al . Application of MMD in gear fault feature extraction under variable rotating speed working conditions [J ] . China Mechanical Engineering , 2022 , 33 ( 20 ): 2483 - 2491 . (in Chinese)
ZHANG R , WANG Z M , TAN Y , et al . Local maximum frequency-chirp-rate synchrosqueezed chirplet transform [J ] . Digital Signal Processing , 2022 , 130 : 103710 .