Time-frequency representations and operators

Leon Cohen

doi:10.1117/12.818743

4 May 2009 Time-frequency representations and operators

Leon Cohen

Proceedings Volume 7335, Automatic Target Recognition XIX; 73350J (2009) https://doi.org/10.1117/12.818743
Event: SPIE Defense, Security, and Sensing, 2009, Orlando, Florida, United States

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.

Citation Download Citation

Leon Cohen "Time-frequency representations and operators", Proc. SPIE 7335, Automatic Target Recognition XIX, 73350J (4 May 2009); https://doi.org/10.1117/12.818743

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