Paper
6 December 2002 Space-time-frequency moment densities
Author Affiliations +
Abstract
The frequency operator, Ω equivalent to i (partial derivative) δ/δt, is not necessarily Hermitian when acting on nonstationary signals. Central moment densities of Ω and its conjugate, temporal operator Τ, are proportional to the real parts of local central moments derived from the Wigner distribution. A nonrelativistic space-time-frequency Wigner distribution forms the backdrop and motivation for the present investigation.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
David H. Hughes and Bruce W. Suter "Space-time-frequency moment densities", Proc. SPIE 4791, Advanced Signal Processing Algorithms, Architectures, and Implementations XII, (6 December 2002); https://doi.org/10.1117/12.455783
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KEYWORDS
Time-frequency analysis

Vector spaces

Analytical research

Clocks

Optical filters

Signal analysis

Signal processing

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