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Title of Article

AN AUTOCORRELATION FUNCTION OF THE FUNCTIONAL TRANSFORMATION OF THE SUM OF A STATIONARY RANDOM PROCESS AND THE 2?-PERIODIC EXTENSION OF A DETERMINISTIC SIGNAL


Issue
3
Date
2012

Article type
scientific article
UDC
621.396
Pages
55-59
Keywords
correlation function, functional transformation, Nth partial sum of the Fourier series, deterministic signal


Authors
Proydakov Vadim Ivanovich
Filial TsNII «Kometa» - KB «Kvazar», Nizhniy Novgorod


Abstract
A proof is given for stationarity of the autocorrelation function of the functional (nonlinear, inertialess) transformation of the sum of a stationary random process and the 2?-periodic extension of a deterministic signal. An autocorrelation function formula for the deterministic signal has been derived in the form of Nth partial sum of the Fourier series.

File (in Russian)