Multicomponent signal analysis based on polynomial chirplet transform

IEEE Transactions on Industrial Electronics

Volumn 60, Issue 9, 2013, Pages 3948-3956

  Yang, Yang ^a   Zhang, Wenming ^a   Peng, Zhike ^a   Meng, Guang ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Energy concentration; polynomial chirplet transform (CT) (PCT); time frequency representation (TFR) fusion

Indexed keywords

FREQUENCY MODULATION; INTERFERENCE SUPPRESSION; NUMERICAL METHODS; POLYNOMIALS;

CHIRPLET TRANSFORMS; ENERGY CONCENTRATION; INDIVIDUAL COMPONENTS; INSTANTANEOUS FREQUENCY; MONO-COMPONENT SIGNAL; MULTICOMPONENT SIGNALS; TIME-FREQUENCY DISTRIBUTIONS; TIME-FREQUENCY REPRESENTATIONS;

MATHEMATICAL TRANSFORMATIONS;

EID: 84877783320     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2012.2206331     Document Type: Article

References (28)

1. J. Ville, "Theory and applications of the notion of complex signal: Translated by I. Seline in RAND," RAND Corp., SantaMonica, CA, Tech. Rep. T-92, 1958.
2. J.Wang, Q. H. Gao, Y. Yu, H.Wang, andM. Jin, "Toward robust indoor localization based on Bayesian filter using chirp-spread-spectrum ranging," IEEE Trans. Ind. Electron., vol. 59, no. 3, pp. 1622-1629, Mar. 2012.
3. H. Cho and S. M. Kim, "Mobile robot localization using biased chirpspread-spectrum ranging," IEEE Trans. Ind. Electron., vol. 57, no. 8, pp. 2826-2835, Aug. 2010.
4. L. Angrisani and M. D'Arco, "A measurement method based on a modified version of the chirplet transform for instantaneous frequency estimation," IEEE Trans. Instrum. Meas., vol. 51, no. 4, pp. 704-711, Aug. 2002. (Pubitemid 35369684)
5. E. Chassande-Mottin and A. Pai, "Best chirplet chain: Near-optimal detection of gravitational wave chirps," Phys. Rev. D, vol. 73, no. 4, pp. 042003.1-042003.23, 2006.
6. Z. K. Peng, G. Meng, F. L. Chu, Z. Q. Lang, W. M. Zhang, and Y. Yang, "Polynomial chirplet transform with application to instantaneous frequency estimation," IEEE Trans. Instrum. Meas., vol. 60, no. 9, pp. 3222-3229, Sep. 2011.
7. Y. Yang, Z. K. Peng, G. Meng, and W. M. Zhang, "Spline-kernelled chirplet transform for the analysis of signals with time-varying frequency and its application," IEEE Trans. Ind. Electron., vol. 59, no. 3, pp. 1612-1621, Mar. 2012.
8. D. Gonzalez, J. T. Bialasiewicz, J. Balcells, and J. Gago, "Waveletbased performance evaluation of power converters operating with modulated switching frequency," IEEE Trans. Ind. Electron., vol. 55, no. 8, pp. 3167-3176, Aug. 2008.
9. L. Angrisani, M. D'Arco, R. S. L. Moriello, and M. Vadursi, "On the use of the warblet transform for instantaneous frequency estimation," IEEE Trans. Instrum. Meas., vol. 54, no. 4, pp. 1374-1380, Aug. 2005. (Pubitemid 41100669)
10. Y. Yang, Z. K. Peng, G. Meng, and W. M. Zhang, "Characterize highly oscillating frequency modulation using generalized warblet transform," Mech. Syst. Signal Process., vol. 26, pp. 128-140, 2012.
11. J. A. Rosero, L. Romeral, J. A. Ortega, and E. Rosero, "Short-circuit detection by means of empirical mode decomposition and Wigner-Ville distribution for PMSM running under dynamic condition," IEEE Trans. Ind. Electron., vol. 56, no. 11, pp. 4534-4547, Nov. 2009.
12. J. Pons-Llinares, J. A. Antonino-Daviu, M. Riera-Guasp, M. Pineda-Sanchez, and V. Climente-Alarcon, "Induction motor diagnosis based on a transient current analytic wavelet transform via frequency B-splines," IEEE Trans. Ind. Electron., vol. 58, no. 5, pp. 1530-1544, May 2011.
13. E. Strangas, S. Aviyente, and S. Zaidi, "Time-frequency analysis for efficient fault diagnosis and failure prognosis for interior permanent-magnet ac motors," IEEE Trans. Ind. Electron., vol. 55, no. 12, pp. 4191-4199, Dec. 2008.
14. J. Cui and W. Wong, "The adaptive chirplet transform and visual evoked potentials," IEEE Trans. Biomed. Eng., vol. 53, no. 7, pp. 1378-1384, Jul. 2006. (Pubitemid 44172311)
15. B. Dugnol, C. Fernández, G. Galiano, and J. Velasco, "On a chirplet transform-based method applied to separating and counting wolf howls," Signal Process., vol. 88, no. 7, pp. 1817-1826, Jul. 2008.
16. L. Angrisani, M. D'Arco, R. Schiano Lo Moriello, and M. Vadursi, "Warblet transform-based method for instantaneous frequency measurement on multi-component signals," in Proc. IEEE Int. Freq. Control Symp. Expo., Roma, Italy, 2004, pp. 500-508.
17. B. Boashash, Time Frequency Signal Analysis and Processing: A Comprehensive Reference. Amsterdam, The Netherlands: Elsevier, 2003.
18. H. Jeffreys and B. S. Jeffreys, "Weierstrass's theorem on approximation by polynomials and extension of Weierstrass's approximation theory," in Methods of Mathematical Physics, 3rd ed. Cambridge, U.K.: Cambridge Univ. Press, 1988, pp. 446-448.
19. J. Terrien, C. Marque, and G. Germain, "Ridge extraction from the time-frequency representation of signals based on an image processing approach: Application to the analysis of uterine electromyogram AR TFR," IEEE Trans. Biomed. Eng., vol. 55, no. 5, pp. 1496-1503, May 2008. (Pubitemid 351550730)
20. R. A. Carmona, W. L. Hwang, and B. Torresani, "Multiridge detection and time-frequency reconstruction," IEEE Trans. Signal Process., vol. 47, no. 2, pp. 480-492, Feb. 1999.
21. J. Zhao, M. Yu, and T. Y. Wang, "A multi-ridge recognition method using modifiedMOPSO algorithm and its application on modal parameter identification," in Proc. 2nd Int. Congr. Image Signal Process., Tianjin, China, 2009, pp. 1-5.
22. M. C. Pan, S. W. Liao, and C. C. Chiu, "Improvement on Gabor order tracking and objective comparison with Vold Kalman filtering order tracking," Mech. Syst. Signal Process., vol. 21, no. 2, pp. 635-667, Feb. 2007.
23. B. Barkat and K. Abed-Meraim, "Algorithms for blind components separation and extraction from the time-frequency distribution of their mixture," EURASIP J. Appl. Signal Process., vol. 13, pp. 2025-2033, 2004.
24. R. M. Haralick and L. G. Shapiro, Computer and Robot Vision, vol. I. Boston, MA: Addison-Wesley, 1993.
25. Z. Zhao and X. Q. Shi, "FM interference suppression for PRC-CW radar based on adaptive STFT and time-varying filtering," J. Syst. Eng. Electron., vol. 21, no. 2, pp. 219-223, Apr. 2010.
26. A. Y. Goharrizi and N. Sepehri, "Internal leakage detection hydraulic actuators using empirical mode decomposition and Hilbert spectrum," IEEE Instrum. Meas., vol. 61, no. 2, pp. 368-378, Feb. 2012.
27. M. Pineda-Sanchez, M. Riera-Guasp, J. A. Antonino-Daviu, J. Roger-Folch, J. Perez-Cruz, and R. Puche-Panadero, "Instantaneous frequency of the left sideband harmonic during the start-up transient: A new method for diagnosis of broken bars," IEEE Trans. Ind. Electron., vol. 56, no. 11, pp. 4557-4570, Nov. 2009.
28. R. Baraniuk, Bat Echolation Chirp. Houston, TX: DSP Group, Rice University, 2009. [Online]. Available: http://dsp.rice.edu/software/bat- echolocation-chirp