Matching demodulation transform and synchrosqueezing in time-frequency analysis

IEEE Transactions on Signal Processing

Volumn 62, Issue 1, 2014, Pages 69-84

  Wang, Shibin ^a   Chen, Xuefeng ^a   Cai, Gaigai ^a   Chen, Binqiang ^a   Li, Xiang ^a   He, Zhengjia ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Demodulation; Instantaneous frequency estimation; Synchrosqueezing; Time frequency analysis

Indexed keywords

CONVERGENCE CONDITIONS; ENERGY CONCENTRATION; INSTANTANEOUS FREQUENCY; INSTANTANEOUS FREQUENCY ESTIMATION; ITERATIVE ALGORITHM; STEPWISE REFINEMENT; SYNCHROSQUEEZING; TIME FREQUENCY ANALYSIS;

ALGORITHMS; DEMODULATION; MATHEMATICAL MODELS; OPTICAL VARIABLES MEASUREMENT;

ITERATIVE METHODS;

EID: 84890506301     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2013.2276393     Document Type: Article

References (43)

1. S. G. Mallat, A Wavelet Tour of Signal Processing. NewYork,NY, USA: Academic, 1999.
2. S. Qian and D. Chen, "Joint time-frequency analysis," IEEE Signal Process. Mag., vol. 16, no. 2, pp. 52-67, 1999.
3. E. Sejdi?, I. Djurovi?, and J. Jiang, "Time-frequency feature representation using energy concentration: An overview of recent advances," Digit. Signal Process., vol. 19, no. 1, pp. 153-183, 2009.
4. B. Boashash, "Estimating and interpreting the instantaneous frequency of a signal-Part I. Fundamentals," Proc. IEEE, vol. 80, no. 4, pp. 520-538, 1992.
5. B. Boashash, "Estimating and interpreting the instantaneous frequency of a signal-Part II. Algorithms and applications," Proc. IEEE, vol. 80, no. 4, pp. 540-568, 1992.
6. C. Ioana, Y. D. Zhang, M. G. Amin, F. Ahmad, G. Frazer, and B. Himed, "Time-frequency characterization of micro-multipath signals in over-the-horizon radar," in Proc. IEEE Radar Conf. (RADAR), 2012, pp. 0671-0675.
7. I. Orovic, S. Stankovic, T. Thayaparan, and L. Stankovic, "Multiwindow S-method for instantaneous frequency estimation and its application in radar signal analysis," IET Signal Process., vol. 4, no. 4, pp. 363-370, 2010.
8. Y. Zhang, M. G. Amin, and G. J. Frazer, "High-resolution time-frequency distributions for manoeuvring target detection in over-the-horizon radars," in Proc. Inst. Electr. Eng.-Radar Sonar Navig., 2003, pp. 299-304.
9. Y. Zhang, B. A. Obeidat, and M. G. Amin, "Spatial polarimetric time-frequency distributions for direction-of-arrival estimations," IEEE. Trans. Signal Process., vol. 54, no. 4, pp. 1327-1340, 2006.
10. B. Liu, "Instantaneous frequency tracking under model uncertainty via dynamic model averaging and particle filtering," IEEE Trans. Wireless Commun., vol. 10, no. 6, pp. 1810-1819, 2011.
11. Y. Zhang and M. G. Amin, "Array processing for nonstationary interference suppression in DS/SS communications using subspace projection techniques," IEEE. Trans. Signal Process., vol. 49, no. 12, pp. 3005-3014, 2001.
12. B. Chen, Z. Zhang, C. Sun, B. Li, Y. Zi, and Z. He, "Fault feature extraction of gearbox by using overcomplete rational dilation discrete wavelet transform on signals measured from vibration sensors," Mech. Syst. Signal Process., vol. 33, pp. 275-298, 2012.
13. S. Wang, W. Huang, and Z. Zhu, "Transient modeling and parameter identification based on wavelet and correlation filtering for rotatingmachine fault diagnosis," Mech. Syst. Signal Process., vol. 25, no. 4, pp. 1299-1320, 2011.
14. L. Gelman and J. D. Gould, "Time-frequency chirp-Wigner transform for signals with any nonlinear polynomial time varying instantaneous frequency," Mech. Syst. Signal Process., vol. 21, no. 8, pp. 2980-3002, 2007.
15. R. Yan and R. X. Gao, "Hilbert-Huang transform-based vibration signal analysis for machine health monitoring," IEEE. Trans. Instrum. Meas., vol. 55, no. 6, pp. 2320-2329, 2006.
16. B. Barkat and B. Boashash, "Instantaneous frequency estimation of polynomial FM signals using the peak of the PWVD: Statistical performance in the presence of additive Gaussian noise," IEEE Trans. Signal Process., vol. 47, no. 9, pp. 2480-2490, 1999.
17. B. Barkat, "Instantaneous frequency estimation of nonlinear frequency- modulated signals in the presence of multiplicative and additive noise," IEEE Trans. Signal Process., vol. 49, no. 10, pp. 2214-2222, 2001.
18. S. Mann and S. Haykin, "The chirplet transform: Physical considerations," IEEE Trans. Signal Process., vol. 43, no. 11, pp. 2745-2761, 1995.
19. S. Djukanovic, M. Dakovic, and L. Stankovic, "Local polynomial Fourier transform receiver for nonstationary interference excision in DSSS communications," IEEE Trans. Signal Process., vol. 56, no. 4, pp. 1627-1636, 2008.
20. X. Li, G. Bi, S. Stankovic, and A. M. Zoubir, "Local polynomial Fourier transform: A review on recent developments and applications," Signal Process., vol. 91, no. 6, pp. 1370-1393, 2011.
21. Z. Peng, G. Meng, F. Chu, Z. Lang, W. Zhang, and Y. Yang, "Polynomial chirplet transform with application to instantaneous frequency estimation," IEEE Trans. Instrum. Meas., vol. 60, no. 9, pp. 3222-3229, 2011.
22. X.-G. Xia, "Discrete chirp-Fourier transform and its application to chirp rate estimation," IEEE Trans. Signal Process., vol. 48, no. 11, pp. 3122-3133, 2000.
23. S. Olhede and A. Walden, "A generalized demodulation approach to time-frequency projections for multicomponent signals," Proc. R. Soc. London A, vol. 461, pp. 2059-2179, 2005.
24. J. Zhong and Y. Huang, "Time-frequency representation based on an adaptive short-time Fourier transform," IEEE Trans. Signal Process., vol. 58, no. 10, pp. 5118-5128, 2010.
25. S. C. Pei and S. G. Huang, "STFT with adaptive window width based on the chirp rate," IEEE Trans. Signal Process., vol. 60, no. 8, pp. 4065-4080, 2012.
26. F. Auger and P. Flandrin, "Improving the readability of time-frequency and time-scale representations by the reassignment method," IEEE Trans. Signal Process., vol. 43, no. 5, pp. 1068-1089, 1995.
27. J. Xiao and P. Flandrin, "Multitaper time-frequency reassignment for nonstationary spectrum estimation and chirp enhancement," IEEE Trans. Signal Process., vol. 55, no. 6, pp. 2851-2860, 2007.
28. G. K. Nilsen, "Recursive time-frequency reassignment," IEEE Trans. Signal Process., vol. 57, no. 8, pp. 3283-3287, 2009.
29. I. Daubechies, J. Lu, and H.-T. Wu, "Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool," Appl. Comput. Harmon. Anal., vol. 30, no. 2, pp. 243-261, 2011.
30. G. Thakur and H.-T.Wu, "Synchrosqueezing-based recovery of instantaneous frequency from nonuniform samples," SIAM J. Math. Anal., vol. 43, no. 5, pp. 2078-2095, 2011.
31. S. Meignen, T. Oberlin, and S. McLaughlin, "A new algorithm for multicomponent signals analysis based on synchroSqueezing: With an application to signal sampling and denoising," IEEE Trans. Signal Process., vol. 60, no. 11, pp. 5787-5798, 2012.
32. G. Thakur, E. Brevdo, N. S. Fu?kar, and H.-T. Wu, "The synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications," Signal Process., vol. 93, no. 5, pp. 1079-1094, 2012.
33. I. Daubechies and S. Maes, "A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models," Wavelets Med. Biol., pp. 527-546, 1996.
34. C. Li and M. Liang, "Time-frequency signal analysis for gearbox fault diagnosis using a generalized synchrosqueezing transform," Mech. Syst. Signal Process., vol. 26, pp. 205-217, 2012.
35. C. Li and M. Liang, "A generalized synchrosqueezing transform for enhancing signal time-frequency representation," Signal Process., vol. 92, no. 9, pp. 2264-2274, 2012.
36. E. Sejdic, I. Djurovic, and L. Stankovic, "Quantitative performance analysis of scalogram as instantaneous frequency estimator," IEEE Trans. Signal Process., vol. 56, no. 8, pp. 3837-3845, 2008.
37. L. Stankovic, M. Dakovic, and V. Ivanovic, "Performance of spectrogram as IF estimator," Electron. Lett., vol. 37, no. 12, pp. 797-799, 2001.
38. Y. Yang, Z. Peng, G. Meng, and W. Zhang, "Characterize highly oscillating frequency modulation using generalized Warblet transform," Mech. Syst. Signal Process., vol. 26, pp. 128-140, 2012.
39. R. G. Baraniuk, P. Flandrin, A. J. E. M. Janssen, and O. J. J. Michel, "Measuring time-frequency information content using the Rényi entropies," IEEE. Trans. Inf. Theory, vol. 47, no. 4, pp. 1391-1409, 2001.
40. V. Katkovnik and L. J. Stankovic, "Instantaneous frequency estimation using the Wigner distribution with varying and data-driven window length," IEEE Trans. Signal Process., vol. 46, no. 9, pp. 2315-2325, 1998.
41. N. E. Huang, Z. Shen, S. R. Long, M. C.Wu, H. H. Shih, Q. Zheng, N. C. Yen, C. C. Tung, and H. H. Liu, "The empiricalmode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis," Proc. R. Soc. London A, vol. 454, no. 1971, pp. 903-995, 1998.
42. L. Stankovic, "A method for time-frequency analysis," IEEE Trans. Signal Process., vol. 42, no. 1, pp. 225-229, 1994.
43. R. Baraniuk, "Bat Echolocation Chirp" [Online]. Available: http://dsp. rice.edu/software/bat-echolocation-chirp