The fan-chirp transform for non-stationary harmonic signals

Signal Processing

Volumn 87, Issue 6, 2007, Pages 1504-1522

  Weruaga, Luis ^a   Képesi, Márian ^b  

^a ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^b GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Fan marginalization; Fan chirp transform (FChT); Harmonically related chirplets; Time frequency (TF)

Indexed keywords

GAUSSIAN NOISE (ELECTRONIC); HARMONIC ANALYSIS; NATURAL FREQUENCIES; POLYNOMIALS; SIGNAL PROCESSING; ULTRASONICS;

FAN MARGINALIZATION; FAN-CHIRP TRANSFORM (FCHT); HARMONICALLY RELATED CHIRPLETS; TIME-FREQUENCY (TF);

MATHEMATICAL TRANSFORMATIONS;

EID: 33847108087     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2007.01.006     Document Type: Article

References (29)

1. Cohen L. Time-frequency Analysis (1995), Prentice-Hall, Englewood Cliffs, NJ
2. Mecklenbräuker, Hlawatsch (Eds.), The Wigner Distribution-Theory and Applications in Signal Processing, Elsevier, Amsterdam, NL, 1997.
3. Cohen L., and Posch T. Positive time-frequency distribution functions. IEEE Trans. Acoust. Speech Signal Process. ASSP-33 (1985) 31-38
4. Loughlin P.J., Pitton J.W., and Atlas L.E. Construction of positive time-frequency distributions. IEEE Trans. Signal Process. 42 10 (October 1994) 2697-2705
5. Mallat S., and Zhang Z. Matching pursuit with time-frequency dictionaries. IEEE Trans. Signal Process. 41 12 (December 1993) 3397-3415
6. Bultan A. A four-parameter atomic decomposition of chirplets. IEEE Trans. Signal Process. 47 3 (March 1999) 731-745
7. Yin Q., Qian S., and Feng A. A fast refinement for adaptive Gaussian chirplet decomposition. IEEE Trans. Signal Process. 50 6 (June 2002) 1298-1306
8. Papandreou-Suppapola A., and Suppapola S.B. Analysis and classification of time-varying signals with multiple time-frequency structures. IEEE Signal Process. Lett. 9 3 (March 2002) 92-95
9. Rabiner L.R., Schafer R.W., and Rader C.M. The Chirp-Z transform algorithm and its application. Bell System Technical J. 48 5 (May-June 1969) 1249-1292
10. Mann S., and Haykin S. The chirplet transform: physical considerations. IEEE Trans. Signal Process. 43 11 (November 1995) 2745-2761
11. Ozaktas H.M., Zalevsky Z., and Kutay M.A. The Fractional Fourier Transform with Applications in Optics and Signal Processing (2001), Wiley, New York, NY
12. Almeida L.B. The fractional Fourier transform and time-frequency representations. IEEE Trans. Signal Process. 42 11 (November 1994) 3084-3091
13. R.G. Baraniuk, D.L. Jones, Warped wavelet bases: unitary equivalence and signal processing, in: Proceedings of IEEE ICASSP, 1993, pp. 320-323.
14. Baraniuk R. Unitary equivalence: a new twist on signal processing. IEEE Trans. Signal Process. 43 10 (October 1995) 2269-2282
15. T. Twaroch, F. Hlawatsch, Modulation and warping operators in joint signal analysis, in: Proceedings of IEEE Symposium on Time-frequency and Time-scale Analysis, 1998, pp. 9-12.
16. Papandreou-Suppapoula A., Hlawatsch F., and Boudreaux-Bartels G.F. Quadratic time-frequency representations with scale covariance and generalized time-shift covariance: a unified framework for the affine, hyperbolic, and power classes. Digital Signal Process.: Rev. J. 8 1 (January 1998) 3-48
17. Kepesi M., and Weruaga L. Adaptive chirp-based time-frequency analysis of speech signals. Speech Commun. 48 5 (May 2006) 474-492
18. L. Weruaga, M. Képesi, Self-organizing chirp-sensitive artificial auditory cortical model, in: Proceedings of Interspeech, 2005, pp. 705-708.
19. Zhang F., Chen Y.Q., and Bi G. Adaptive harmonic fractional Fourier transform. IEEE Signal Process. Lett. 6 11 (November 1999) 281-283
20. J.G. Vargas-Rubio, B. Santhanam, An improved spectrogram using the multiangle centered discrete fractional Fourier transform, in: Proceedings of IEEE ICASSP, 2005, pp. 505-508.
21. R.J. Sluijter, A.E.J.M. Janssen, A time warper for speech signals, in: IEEE Workshop Speech Coding, 1999, pp. 150-152.
22. Katkovnik V. Discrete-time local polynomial approximation of the instantaneous frequency. IEEE Trans. Signal Process. 46 10 (October 1998) 2626-2637
23. Stankovic L., and Djukanovic S. Order adaptive local polynomial FT based interference rejection in spread spectrum communication systems. IEEE Trans. Instrum. Meas. 54 6 (2005) 2156-2162
24. Jones D.L., and Baraniuk R.G. An adaptive optimal-kernel time-frequency representation. IEEE Trans. Signal Process. 43 10 (October 1995) 2361-2371
25. Kondoz A.M. Digital Speech Coding for Low Bit Rate Communication Systems (2004), Wiley, Chichester, UK
26. Mercado III E., Myers C., and Gluck M.A. Modelling auditory cortical processing as an adaptive chirplet transform. Neurocomputing 32-33 (2000) 913-919
27. Ozaktas H.M., Arikan O., Kutay M.A., and Bozdaǧi G. Digital computation of the fractional Fourier transform. IEEE Trans. Signal Process. 44 9 (September 1996) 2141-2150
28. Quatieri T.F. Discrete-time Speech Signal Processing (2002), Prentice-Hall, Upper Saddle River, NJ
29. McAulay R.J., and Quatieri T.F. Sinusoidal coding. In: Kleijn, and Paliwal (Eds). Speech Coding and Synthesis (1995), Elsevier Science, Amsterdam 121-174