Wigner distribution approximation applied to differential equations

David L. Hench

doi:10.1117/12.513901

24 December 2003 Wigner distribution approximation applied to differential equations

David L. Hench

Proceedings Volume 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII; (2003) https://doi.org/10.1117/12.513901
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

Galleani and Cohen recently developed a Wigner-distribution based approach for the study of linear differential equations in general, and the gliding tone problem in particular. In this research, we extend these results by considering an exponential chirp and also a set of arbitrarily selected forcing functions. These forcing functions are taken from a class of smoothed and monotonically increasing phase functions. By examining a number of arbitrary selected forcing functions from this set, insight is gained into the nature of the solution and the associated dynamics of the system.

Citation Download Citation

David L. Hench "Wigner distribution approximation applied to differential equations", Proc. SPIE 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII, (24 December 2003); https://doi.org/10.1117/12.513901

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