Chebyshev spectra resistance to trend of random noiseстатья
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Дата последнего поиска статьи во внешних источниках: 12 октября 2018 г.
Аннотация:Spectral analysis of random noise in the space of discrete Chebyshev polynomials is an
alternative to spectral Fourier analysis. The importance of Chebyshev spectral approach is
associated with the fact that the discrete Chebyshev transformation of the k-th order
eliminates automatically the polynomial trend of the (k−1) order. Using the method of
arti¯cial trend, it was found that, under the real experimental conditions, the intensity of
Chebyshev spectral lines with numbers higher than 1 is resistant to a strong trend of random
process. This e®ect is observed when we use both the arithmetic averaging and the median.
The Chebyshev spectral approach is a powerful tool for spectral analysis of random time
series with a strong trend.