Signal arrival times

David H. Hughes

doi:10.1117/12.506935

24 December 2003 Signal arrival times

David H. Hughes

Proceedings Volume 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII; (2003) https://doi.org/10.1117/12.506935
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

A femtosecond electromagnetic pulse propagating in a linear dispersive medium is analyzed in phase spaces of (space, wave number) and (time, frequency). First moment densities are computed as eigenvalues of differential operators acting on Hilbert ray representations of the pulse in relevant domains. These moment densities are used as metrics in the relevant phase spaces to measure the local mean values and their deviations in position and wavenumber, and in time and frequency. For example, arrival times of the pulse over its spectral content are computed as the mean arrival time at a particular frequency to within one half the local deviation at that frequency. These metrics on the pulse are compared to the relevant phase space Wigner distribution.

Citation Download Citation

David H. Hughes "Signal arrival times", Proc. SPIE 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII, (24 December 2003); https://doi.org/10.1117/12.506935

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