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Autocorrelation function of the sum of normal noise and two harmonic oscillations for a limited process and after van vleck transformation

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Radiophysics and Quantum Electronics Aims and scope

Abstract

This paper presents a rigorous analysis of statistical characteristics for the sum of a Gaussian random process and two harmonic oscillations transmitted through an inertialess limiter, a typical unit in radio astronomical spectrometers. The analysis was done for the two most interesting cases, that in which the dominant intensity belongs to the continuous-spectrum component, and that in which, conversely, the dominant intensity belongs to the discrete-spectrum component. The resulting expressions for the autocorrelation functions make it possible to estimate the power spectrum of a completely limited process and the spectrum of its Van Vleck transform. In both cases, the transformation improved the estimates of the autocorrelation function and the spectrum and reduced the nonlinear products, including the components with combination frequencies.

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Authors
  1. L. G. Sodin
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Additional information

Radioastronomical Institute of the Ukrainian National Academy of Sciences, Kharkov, Ukraine. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 41, No. 9, pp. 1147–1162, September, 1998.

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Sodin, L.G. Autocorrelation function of the sum of normal noise and two harmonic oscillations for a limited process and after van vleck transformation. Radiophys Quantum Electron 41, 771–782 (1998). https://doi.org/10.1007/BF02677632

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  • DOI: https://doi.org/10.1007/BF02677632

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