Title :
Comments on scale invariance of time-frequency distributions
Author :
Loughlin, Patrick J.
Author_Institution :
Dept. of Electr. Eng., Pittsburgh Univ., PA, USA
Abstract :
Two results concerning time-frequency distributions (TFD\´s) are presented. First, it is shown that the Cohen-Posch class of distributions (or "positive distributions") are scale invariant. Second, it is shown that the commonly stated condition for scale invariance of a TFD, namely, that the kernel be a product kernel, is not a necessary condition for signal-dependent kernels.
Keywords :
signal processing; time-frequency analysis; Cohen-Posch class; positive distributions; product kernel; scale invariance; signal-dependent kernels; time-frequency distributions; Fourier transforms; Kernel; Signal analysis; Sufficient conditions; Time frequency analysis;
Journal_Title :
Signal Processing Letters, IEEE
