Analysis and filtering using the optimally smoothed Wigner distribution

The authors consider the analysis and filtering of a deterministic signal with slowly time-varying spectra using the optimally smoothed Wigner distribution (OSWD). They compare this mixed time-frequency representation (MTFR) to other MTFRs such as the spectrogram, the short-time Fourier transform (STFT), and the Wigner and pseudo-Wigner distributions. The authors propose an approach to designing linear time-varying filters for slowly time-varying signals which is based on the concept of local nonstationarity cancellation and show that it is equivalent to masking the optimal STFT. The performance of the filter in suppressing white noise and in decomposing a slowly time-varying signal into its components is studied and compared to the performance of the techniques based on the STFT. >

[1]  L. Zadeh,et al.  Time-Varying Networks, I , 1961, Proceedings of the IRE.

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

[3]  Bahaa E. A. Saleh,et al.  Time-variant filtering of signals in the mixed time frequency domain , 1985, IEEE Trans. Acoust. Speech Signal Process..

[4]  David C. Munson.  Minimum sampling rates for linear shift-variant discrete-time systems , 1985, IEEE Trans. Acoust. Speech Signal Process..

[5]  K. Kodera,et al.  A new method for the numerical analysis of nonstationary signals , 1976 .

[6]  A. Oppenheim,et al.  Variable cutoff linear phase digital filters , 1976 .

[7]  L. Griffiths.  Rapid measurement of digital instantaneous frequency , 1975 .

[8]  Jake K. Aggarwal,et al.  ON LINEAR SHIFT-VARIANT DIGITAL FILTERS. , 1979 .

[9]  T. Claasen,et al.  THE WIGNER DISTRIBUTION - A TOOL FOR TIME-FREQUENCY SIGNAL ANALYSIS , 1980 .

[10]  P. Bertrand,et al.  Optimum smoothing of the Wigner-Ville distribution , 1987, IEEE Trans. Acoust. Speech 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]  R. Gendrin,et al.  Unambiguous determination of fine structures in multicomponent time-varying signals , 1979 .

[13]  G. Clarke.  Time-Varying Deconvolution Filters , 1968 .

[14]  Sophocles J. Orfanidis,et al.  Optimum Signal Processing: An Introduction , 1988 .

[15]  K. Kodera,et al.  Analysis of time-varying signals with small BT values , 1978 .

[16]  Marwan Bikdash.  Analysis and filtering of time-varying signals , 1988 .

[17]  Kai-Bor Yu,et al.  Signal synthesis from pseudo-Wigner distribution and applications , 1987, IEEE Trans. Acoust. Speech Signal Process..

[18]  J. Aggarwal,et al.  RECURSIVE SYNTHESIS OF LINEAR TIME-VARIANT DIGITAL FILTER VIA CHEBYSHEV APPROXIMATION. , 1984 .

[19]  L. Storey,et al.  An investigation of whistling atmospherics , 1953, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[20]  J. Aggarwal,et al.  A simple form synthesis of linear time-variant digital filter via spectral decomposition of its impulse response , 1984 .