Paper
26 October 2004 Phase-space approach to wave propagation with dispersion and damping
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Abstract
We consider dispersive propagation with damping in phase-space, and derive the Wigner distribution in terms of the initial wave and the dispersion relation. The case for no damping, that is, lossless propagation, has been previously considered by Cohen, and is a special case of the more general result presented here. Simple and physically revealing approximations of the Wigner distribution in terms of the initial Wigner distribution are presented. Also, exact low-order conditional moments are given and their interpretation is discussed.
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Patrick J. Loughlin and Leon Cohen "Phase-space approach to wave propagation with dispersion and damping", Proc. SPIE 5559, Advanced Signal Processing Algorithms, Architectures, and Implementations XIV, (26 October 2004); https://doi.org/10.1117/12.564249
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Cited by 19 scholarly publications.
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KEYWORDS
Wave propagation

Dispersion

Fourier transforms

Time-frequency analysis

Astatine

Signal attenuation

Spatial frequencies

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