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Intensity statistics of random signals in Gaussian noise
1Department of Physics and Astronomy, University of Texas at San Antonio, San Antonio, Texas 78249, USA.
Abstract:
The intensity statistics of random signals in the presence of Gaussian noise is obtained by considering 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 signal intensity. The transformation of the intensity statistics can generally be applied to mixtures 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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