Autocorrelation function of the sum of normal noise and two harmonic oscillations for a limited process and after van vleck transformation
| Autor: | L. G. Sodin |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
Physics
Nuclear and High Energy Physics Stochastic process Autocorrelation technique Gaussian Autocorrelation Spectral density Astronomy and Astrophysics Statistical and Nonlinear Physics Noise (electronics) Electronic Optical and Magnetic Materials symbols.namesake Transformation (function) Harmonic symbols Statistical physics Electrical and Electronic Engineering |
| Zdroj: | Radiophysics and Quantum Electronics. 41:771-782 |
| ISSN: | 1573-9120 0033-8443 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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