Covariant time-frequency distributions based on conjugate operators


Franz Hlawatsch and Helmut Bölcskei


IEEE Signal Processing Letters, Vol. 3, No. 2, pp. 44-46, Feb. 1996

DOI: 10.1109/97.484213

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We propose classes of quadratic time-frequency distributions that retain the inner structure of Cohen's class. Each of these classes is based on a pair of "conjugate'' unitary operators producing time-frequency displacements. The classes satisfy covariance and marginal properties corresponding to these operators. For each class, we define a "central member'' generalizing the Wigner distribution and the Q-distribution, and we specify a transformation by which the class can be derived from Cohen's class.


Time-frequency analysis, Cohen's class, linear operators, group theory

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