Wigner higher-order spectra: definition, properties, computation and application to transient signal analysis
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hdl:2117/1563
Tipus de documentArticle
Data publicació1993-01-31
EditorIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Condicions d'accésAccés obert
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Abstract
The Wigner higher order moment spectra (WHOS)
are defined as extensions of the Wigner-Ville distribution (WD)
to higher order moment spectra domains. A general class of
time-frequency higher order moment spectra is also defined in
terms of arbitrary higher order moments of the signal as generalizations of the Cohen’s general class of time-frequency representations. The properties of the general class of time-frequency higher order moment spectra can be related to the
properties of WHOS which are, in fact, extensions of the properties of the WD. Discrete time and frequency Wigner higher
order moment spectra (DTF-WHOS) distributions are introduced for signal processing applications and are shown to be
implemented with two FFT-based algorithms. One application
is presented where the Wigner bispectrum (WB), which is a
WHOS in the third-order moment domain, is utilized for the
detection of transient signals embedded in noise. The WB is
compared with the WD in terms of simulation examples and
analysis of real sonar data. It is shown that better detection
schemes can be derived, in low signal-to-noise ratio, when the
WB is applied.
CitacióRodríguez Fonollosa, J; Nikias, C.L. Wigner higher-order spectra: definition, properties, computation and application to transient signal analysis. IEEE Transactions on Signal Processing, 1993, vol. 41, núm. 1, pàg. 245-266
ISSN1053-587X
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