Title :
Invertible time-frequency surfaces
Author :
Nelson, Douglas J.
Author_Institution :
Dept. of Defense, Fort George G. Mead, MD, USA
Abstract :
A classical problem in time-frequency (TF) analysis is the inversion of a TF surface to recover a signal whose TF representation is that surface. A class of invertible surfaces is presented. In this class, simple processes may be used to recover the signal and “spectrum” directly from the surface. These surfaces are linear generalizations of one-dimensional linear transforms, and may be complex valued. It is shown that several of the paradoxes associated with nonlinear surfaces may be resolved in invertible surfaces
Keywords :
signal representation; spectral analysis; time-frequency analysis; transforms; invertible time-frequency surfaces; linear generalizations; nonlinear surfaces; one-dimensional linear transforms; paradoxes; signal recovery; signal representation; spectrum; time-frequency analysis; Fourier transforms; Interference; Linearity; Signal analysis; Signal processing; Signal resolution; Surface reconstruction; Surface waves; Time domain analysis; Time frequency analysis;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Pittsburgh, PA
Print_ISBN :
0-7803-5073-1
DOI :
10.1109/TFSA.1998.721349
