To solve the problem of time-frequency interference existing in the multicomponent Polynomial Phase Signal (mc-PPS) Wigner-Ville distribution, a new time-frequency analysis method based on the multi-scale Chirplet sparse decomposition and Wigner-Ville transform is proposed. This method projects mc-PPS onto the multi-scale Chirplet base functions, searching best base functions by the improved FRactional Fourier Transform (FRFT). Through the Wigner-Ville transform and best path pursuit algorithm, the base functions constitute largest energy signals component and power distribution in turns. Simulation results verify that the proposed method can restrain effectively the cross-interference of constant mc-PPS in low Signal-to-Noise Ratio condition, maintain a high time-frequency aggregation, and overcome the large computation of global searching algorithm. Furthermore, this method is suitable for non-stationary signals analysis and processing.
ZOU Hongxing, ZHOU Xiaobo, and LI Yanda. Which time- frequency analysis—a survey[J]. Acta Electronica Sinica, 2000, 28(8): 78-84.
[3]
KRISTIAN T and MARC M. Adaptive time-frequency analysis for noise reduction in an audio filter bank with low delay[J]. IEEE/ACM Transactions on Audio, Speech and Language Processing, 2016, 24(4): 784-795. doi: 10.1109/ TASLP.2016.2526779.
[4]
MISHRA A, SINGH A K, and SAHU S. ECG signal denoising using time-frequency based filtering approach[C]. Proceedings of the International Conference on Communication and Signal Processing, India, 2016: 0503-0507. doi: 10.1109/ICCSP.2016.7754188.
[5]
WANG J and HE Q. Wavelet packet envelope manifold for fault diagnosis of rolling element bearings[J]. IEEE Transactions on Instrumentation and Measurement, 2016, 65(11): 2515-2526. doi: 10.1109/TIM.2016.2566838.
LIU Ying, CHEN Dianren, CHEN Lei, et al. Parameters estimation algorithm of linear frequency modulated continuous wave signals based on period Choi-Williams Hough transform[J]. Journal of Electronics & Information Technology, 2015, 37(5): 1135-1140. doi: 10.11999/JEIT 140876.
WANG Zhongren, LIN Jun, and LI Wenwei. Time-frequency analysis for complex time-varying signals based on Wigner- Ville distribution[J]. Acta Electronica Sinica, 2005, 33(12): 2239-2241.
WANG Yong and JIANG Yicheng. Realization of polynomial Wigner-Ville distribution based on the convolution in frequency domain[J]. Journal of Electronics & Information Technology, 2008, 30(2): 286-289.
[9]
PENG H W, CHANG H T, and LIN C C. 2-D linear frequency modulation signal separation using fractional Fourier transform[C]. Proceedings of the International Symposium on Computer, Consumer and Control, Taibei, China, 2016: 755-758. doi: 10.1109/IS3C.2016.193.
[10]
CANDÈS E J, CHARLTON P, and HELGASON H. Detecting highly oscillatory signals by chirplet path pursuit[J]. Applied and Computational Harmonic Analysis, 2008, 24(1): 14-40.
LUO Jiesi, YU Dejie, and PENG Fuqiang. Multicomponent LFM signals detection based on multi-scale Chirplet sparse signal decomposition[J]. Journal of Electronics & Information Technology, 2009, 31(11): 2781-2785.
MEI Jianmin, XIAO Yunkui, ZHOU Bin, et al. Improved multi-scale chirplet sparse signal decomposition method based on fractional Fourier transform[J]. Journal of Vibration Engineering, 2013, 26(1): 135-142.