Intensity Statistics of Random Signals in Gaussian Noise

Details Intensity Statistics of Random Signals in Gaussian Noise Intensity Statistics of Random Signals in Gaussian Noise

2009-06-24

arxiv.org/abs/0906.4577v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures, submitted to PRE

Scientific paper

The intensity statistics of signals in the presence of Gaussian noise is obtained by studying the model of a random signal plus a random phasor sum. The additive Gaussian noise is shown to result in a Bessel transform of the probability density of the signal intensity. The transformation of the intensity statistics can generally be applied to a mixture of independent random signals, one of which being a complex-valued Gaussian random process. It is used to retrieve intensity statistics of microwave pulsed transmission from Gaussian noise at long time delays.

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