Generalized transfer function estimation using evolutionary spectral deblurring

We present a method for estimating the generalized transfer function (GTF) of a time-varying filter from a time-frequency representation (TFR) of its output. This method uses the fact that many TFR's can be written as blurred versions of the GTF. The approach minimizes the error between the TFR found from the data and that found by blurring the GTF. The problem as such has many solutions. We, therefore, additionally constrain it to minimize the distance between the GTF-based spectrum and the autoterms of the Wigner distribution, suppressing the cross terms using an appropriate signal dependent mask function. To illustrate the performance of the proposed procedure, we apply it to the spectral representation of speech signals and to signal masking.

[1]  Aydin Akan,et al.  Evolutionary spectral analysis using a warped Gabor expansion , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[2]  Les E. Atlas,et al.  Applications of positive time-frequency distributions to speech processing , 1994, IEEE Trans. Speech Audio Process..

[3]  M. B. Priestley,et al.  Non-linear and non-stationary time series analysis , 1990 .

[4]  W. J. Williams,et al.  An algorithm for positive time-frequency distributions , 1996, Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96).

[5]  Amro El-Jaroudi,et al.  Relating the bilinear distributions and the evolutionary spectrum , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[6]  M. Portnoff.  Time-frequency representation of digital signals and systems based on short-time Fourier analysis , 1980 .

[7]  Jake K. Aggarwal,et al.  Frequency-domain considerations of LSV digital filters , 1981 .

[8]  E. Polak.  Introduction to linear and nonlinear programming , 1973 .

[9]  A. El-Jaroudi,et al.  Evolutionary periodogram for nonstationary signals , 1994, IEEE Trans. Signal Process..

[10]  Les E. Atlas,et al.  Construction of positive time-frequency distributions , 1994, IEEE Trans. Signal Process..

[11]  Thomas W. Parks,et al.  Time-varying filtering and signal estimation using Wigner distribution synthesis techniques , 1986, IEEE Trans. Acoust. Speech Signal Process..

[12]  William J. Williams,et al.  Time-Varying Filtering and Signal Synthesis , 1992 .

[13]  Werner Krattenthaler,et al.  Time-Frequency Design and Processing of Signals Via Smoothed Wigner Distributions , 1993, IEEE Trans. Signal Process..

[14]  Guy Melard,et al.  CONTRIBUTIONS TO EVOLUTIONARY SPECTRAL THEORY , 1989 .

[15]  Langford B. White.  Resolution enhancement in time-frequency signal processing using inverse methods , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

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

[17]  A. El-Jaroudi,et al.  Informative priors for minimum cross-entropy positive time-frequency distributions , 1997, IEEE Signal Processing Letters.

[18]  Werner Krattenthaler,et al.  Time-frequency signal synthesis with time-frequency extrapolation and don't-care regions , 1994, IEEE Trans. Signal Process..