A time-frequency distribution concentrated along the instantaneous frequency

A time-frequency distribution that produces high concentration at the instantaneous frequency for an arbitrary signal is proposed. This distribution may be treated as a variant of the L-Wigner distribution, but it also satisfies unbiased energy condition, time marginal, as well as the frequency marginal in the case of asymptotic signals. The theory presented is illustrated by examples.

[1]  Patrick Flandrin,et al.  Some features of time-frequency representations of multicomponent signals , 1984, ICASSP.

[2]  Boualem Boashash,et al.  Wigner-Ville analysis of time-varying signals , 1982, ICASSP.

[3]  Srdjan Stankovic,et al.  An analysis of instantaneous frequency representation using time-frequency distributions-generalized Wigner distribution , 1995, IEEE Trans. Signal Process..

[4]  Chrysostomos L. Nikias,et al.  Wigner Higher Order Moment Spectra: Definition, Properties, Computation and Application to Transient Signal Analysis , 1993, IEEE Trans. Signal Process..

[5]  C. Berthomier,et al.  Instantaneous frequency and energy distribution of a signal , 1983 .

[6]  Boualem Boashash,et al.  Polynomial Wigner-Ville distributions and their relationship to time-varying higher order spectra , 1994, IEEE Trans. Signal Process..

[7]  L. Cohen.  Distributions concentrated along the instantaneous frequency , 1990 .

[8]  Ljubisa Stankovic,et al.  A multitime definition of the Wigner higher order distribution: L-Wigner distribution , 1994, IEEE Signal Processing Letters.

[9]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals , 1992, Proc. IEEE.

[10]  Leon Cohen,et al.  Instantaneous bandwidth and formant bandwidth , 1992, [1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing.

[11]  L. Cohen,et al.  Time-frequency distributions-a review , 1989, Proc. IEEE.

[12]  Ljubiša Stanković,et al.  An analysis of the Wigner higher order spectra of multicomponent signals , 1994 .

[13]  F. Hlawatsch,et al.  Linear and quadratic time-frequency signal representations , 1992, IEEE Signal Processing Magazine.

[14]  L. Stanković.  An analysis of some time-frequency and time-scale distributions , 1994 .

[15]  Ljubisa Stankovic,et al.  A method for improved distribution concentration in the time-frequency analysis of multicomponent signals using the L-Wigner distribution , 1995, IEEE Trans. Signal Process..

[16]  Ljubisa Stankovic,et al.  On the realization of the highly concentrated time-frequency distributions , 1996, Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96).

[17]  Ljubisa Stankovic,et al.  A method for time-frequency analysis , 1994, IEEE Trans. Signal Process..

[18]  Ljubisa Stankovic,et al.  L-class of time-frequency distributions , 1996, IEEE Signal Processing Letters.