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First and second order distributions of a sine wave of random phase plus Gaussian noise

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Zusammenfassung

Die Verteilungen erster und zweiter Ordnung einer Sinuswelle fester Amplitude und Frequenz sowie mit gleichmässig verteilter Zufallsphase und Gaußschem Zufallsgeräusch werden explizit berechnet durch Fourier-Umkehrung einer Formel nachRice. Wir erhalten als Ergebnis Besselsche Reihen multipliziert mit Gauss-Verteilungen.

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References

  1. J. F. Barrett andD. G. Lampard,An Expansion for some Second-order Noise Distributions and Its Application to Noise Problems, Trans. IRE2 (1), 10–15 (1955).

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Authors and Affiliations

  1. Michelson Laboratory, U.S. Naval Ordnance Test Station, China Lake, California, USA

    Roy Leipnik

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  1. Roy Leipnik
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Leipnik, R. First and second order distributions of a sine wave of random phase plus Gaussian noise. Journal of Applied Mathematics and Physics (ZAMP) 11, 117–126 (1960). https://doi.org/10.1007/BF01602925

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  • DOI: https://doi.org/10.1007/BF01602925

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