Unified theory of displacement-covariant time-frequency analysis


Franz Hlawatsch and Helmut Bölcskei


Proc. of IEEE International Symposium on Time-Frequency and Time-Scale Analysis (TFTS), Philadelphia (PA), pp. 524-527, Oct. 1994.

DOI: 10.1109/TFSA.1994.467299

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We present a theory of linear and quadratic time-frequency representations (TFRs) that are covariant to time-frequency displacement operators. The theory unifies important TFR classes (short-time Fourier transform, wavelet transform; Cohen's, affine, hyperbolic, and power classes), and it allows the systematic construction of new TFRs that are covariant to a given operator.


Time-frequency representations, Wigner distribution, Cohen's class, affine class

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