Time-frequency distributions based on conjugate operators


Franz Hlawatsch and Helmut Bölcskei


Proc. IEEE UK Sympos. Applications of Time-Frequency and Time-Scale Methods, Univ. of Warwick, Coventry (UK), pp. 187-193a, Aug. 1995.

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New classes of quadratic time-frequency representations (QTFRs), such as the affine, hyperbolic, and power classes, are interesting alternatives to the conventional shift-covariant class (Cohen's class). This paper studies new QTFR classes that retain the inner structure of Cohen's class. These classes are based on a pair of "conjugate'' unitary operators and satisfy covariance and marginal properties. For each class, we define a "central member'' generalizing the Wigner distribution, and we specify a transformation by which the class can be derived from Cohen's class.


Time-frequency representations, conjugate operators, Wigner distribution, Cohen's class

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