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Proceedings Paper

Time-frequency representations and operators
Author(s): Leon Cohen
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Paper Abstract

We discuss the issues that arise in developing quasi-distributions for arbitrary operators in contrast to the usual case of time and frequency. The arbitrary operator case has many mathematical and physical challenges that have not been solved. We also discuss the connection with differential equations and pseudo-differential operators. In regard to differential equations we argue that the proper generalization of the constant coefficient case is not the variable coefficients case but an equation where the coefficients are kept constant and the differential operator is replaced by a Hermitian operator.

Paper Details

Date Published: 4 May 2009
PDF: 9 pages
Proc. SPIE 7335, Automatic Target Recognition XIX, 73350J (4 May 2009); doi: 10.1117/12.818743
Show Author Affiliations
Leon Cohen, City Univ. of New York (United States)

Published in SPIE Proceedings Vol. 7335:
Automatic Target Recognition XIX
Firooz A. Sadjadi; Abhijit Mahalanobis, Editor(s)

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