Time-frequency distributions based on conjugate operators

Authors

Franz Hlawatsch and Helmut Bölcskei

Reference

Proc. IEEE UK Sympos. Applications of Time-Frequency and Time-Scale Methods, Univ. of Warwick, Coventry (UK), pp. 187-193a, Aug. 1995.

[BibTeX, LaTeX, and HTML Reference]

Abstract

New classes of quadratic time-frequency representations (QTFRs), such as the affine, hyperbolic, and power classes, are interesting alternatives to the conventional shift-covariant class (Cohen's class). This paper studies new QTFR classes that retain the inner structure of Cohen's class. These classes are based on a pair of "conjugate'' unitary operators and satisfy covariance and marginal properties. For each class, we define a "central member'' generalizing the Wigner distribution, and we specify a transformation by which the class can be derived from Cohen's class.

Keywords

Time-frequency representations, conjugate operators, Wigner distribution, Cohen's class


Download this document:

 

Copyright Notice: © 1995 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.