Wavelet analysis of time series by the method of least squares with supplementary weights.

Computer Science

Scientific paper

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Time Series: Dwarf Novae, Time Series: Methods Of Reduction

Scientific paper

A comparative analysis of different modifications of the wavelet analysis based on the Morlet function is made. An algorithm is proposed for the use of the wavelet analysis based on the least squares method with supplementary weights. Spectral and statistical properties of the test and smoothing functions are studied, the optimal values of the argument and frequency step are proposed. The results are illustrated by application to continuous functions, numerical models of regular and irregular signals, including autoregressive processes; observations of the dwarf nova star SS Cygni are also involved.

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