Unified Theory of Displacement - Covariant Time - Frequency Analysis
نویسنده
چکیده
We present a theor of linear and quadratic time-frequency representations (&FRs) that are covariant to time-frequency displacement operators. The theory unifies important T F R 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.
منابع مشابه
Displacement-covariant time-frequency energy distributions
We present a theory of quadratic time-frequency (TF) energy distributions that satisfy a covariance property and generalized marginal properties. The theory coincides with the characteristic function method of Cohen and Baraniuk in the special case of "conjugate operators."
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-’We present a theory of quadratic time-frequency (TF) energy distributions that satisfy a covariance property and generalized marginal properties. The theory coincides with the characteristic function method of Cohen and Earaniuk in the special case of ‘‘conjugate operators.” 1 I N T R O D U C T I O N A N D O U T L I N E Important c1.asses of quadratic time-frequency representations (QTFRs), s...
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