Joint representation in time and frequency scale for harmonic type signals

When a periodic waveform is modulated the resulting signal consists of a fundamental which has broadness in frequency and the sum of functions that are scaled and/or shifted versions of the fundamental. We present a method to study such functions and present an example using a speech signal.<<ETX>>

[1]  Leon Cohen.  General approach for obtaining joint representations in signal analysis and an application to scale , 1991, Optics & Photonics.

[2]  Douglas Nelson,et al.  Glottal pulse alignment in voiced speech for pitch determination , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[3]  Leon Cohen,et al.  The scale representation , 1993, IEEE Trans. Signal Process..

[4]  Richard G. Baraniuk.  Signal transform covariant to scale changes , 1993 .

[5]  Richard A. Altes,et al.  Wide-band, proportional-bandwidth Wigner-Ville analysis , 1990, IEEE Trans. Acoust. Speech Signal Process..

[6]  Douglas L. Jones,et al.  Warped wavelet bases: unitary equivalence and signal processing , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[7]  Ramdas Kumaresan,et al.  On separating voiced-speech into its components , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[8]  P. Bertrand,et al.  A class of affine Wigner functions with extended covariance properties , 1992 .

[9]  Leon Cohen,et al.  Scale and harmonic-type signals , 1994, Optics & Photonics.

[10]  Antonia Papandreou-Suppappola,et al.  The hyperbolic class of quadratic time-frequency representations. I. Constant-Q warping, the hyperbolic paradigm, properties, and members , 1993, IEEE Trans. Signal Process..

[11]  P. Bertrand,et al.  Représentations temps-fréquence des signaux , 1984 .

[12]  G. Eichmann,et al.  Scale-Invariant Wigner Distribution And Ambiguity Functions , 1985, Other Conferences.

[13]  Douglas L. Jones,et al.  Unitary equivalence: a new twist on signal processing , 1995, IEEE Trans. Signal Process..

[14]  Olivier Rioul,et al.  Time-scale energy distributions: a general class extending wavelet transforms , 1992, IEEE Trans. Signal Process..

[15]  J. Bertrand,et al.  Time-frequency representations of broad-band signals , 1988 .