Bootstrap for almost cyclostationary processes with jitter effect

In this paper we consider almost cyclostationary processes with jitter effect. We propose a bootstrap approach based on the Moving Block Bootstrap method to construct pointwise and simultaneous confidence intervals for the Fourier coefficients of the autocovariance function of such processes. In the...

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Veröffentlicht in:Digital signal processing 2018-02, Vol.73, p.93-105
Hauptverfasser: Dehay, Dominique, Dudek, Anna E., El Badaoui, Mohamed
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Sprache:eng
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Zusammenfassung:In this paper we consider almost cyclostationary processes with jitter effect. We propose a bootstrap approach based on the Moving Block Bootstrap method to construct pointwise and simultaneous confidence intervals for the Fourier coefficients of the autocovariance function of such processes. In the simulation study we show how our results can be used to detect the significant frequencies of the autocovariance function. We compare the behavior of our approach for jitter effects caused by perturbations from two distributions, namely uniform and truncated normal. Moreover, we present a real data application of our methodology.
ISSN:1051-2004
1095-4333
DOI:10.1016/j.dsp.2017.11.002