AN AUTOCORRELATION FUNCTION OF THE FUNCTIONAL TRANSFORMATION OF THE SUM OF A STATIONARY RANDOM PROCESS AND THE 2?-PERIODIC EXTENSION OF A DETERMINISTIC SIGNAL |
3 | |
2012 |
scientific article | 621.396 | ||
55-59 | correlation function, functional transformation, Nth partial sum of the Fourier series, deterministic signal |
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. |
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