Unified theory of displacement-covariant time-frequency analysis
Authors
Franz Hlawatsch and Helmut BölcskeiReference
Proc. of IEEE International Symposium on Time-Frequency and Time-Scale Analysis (TFTS), Philadelphia (PA), pp. 524-527, Oct. 1994.[BibTeX, LaTeX, and HTML Reference]
Abstract
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.Keywords
Time-frequency representations, Wigner distribution, Cohen's class, affine class
Download this document:
Copyright Notice: © 1994 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.