Linear distribution of signals

Douglas J. Nelson; David C. Smith; Robert C. Masenten

doi:10.1117/12.560295

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26 October 2004 Linear distribution of signals

Douglas J. Nelson, David C. Smith, Robert C. Masenten

Proceedings Volume 5559, Advanced Signal Processing Algorithms, Architectures, and Implementations XIV; (2004) https://doi.org/10.1117/12.560295
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

We describe a new linear time-frequency paradigm in which the instantaneous value of each signal component is mapped to the curve functionally representing its instantaneous frequency. The transform by which this surface is generated is linear, uniquely defined by the signal decomposition and satisfies linear marginal-like distribution properties. We further demonstrate that such a surface may be estimated from the short time Fourier transform by a concentration process based on the phase of the STFT differentiated with respect to time. Interference may be identified on the concentrated STFT surface, and the signal with the interference removed may be estimated by applying the linear time marginal to the concentrated STFT surface from which the interference components have been removed.

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Douglas J. Nelson, David C. Smith, and Robert C. Masenten "Linear distribution of signals", Proc. SPIE 5559, Advanced Signal Processing Algorithms, Architectures, and Implementations XIV, (26 October 2004); https://doi.org/10.1117/12.560295

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