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- W3208584703 abstract "In this paper, we give a definition of a cyclostationary function, which specifies and extends usual definitions of cyclostationary processes. We transform such a cyclostationary function into a series. The property of stationarity of the series lets us proceed to the Principal Components Analysis in the frequency domain. This technique requires the introduction of new notions as the conjugated of a spectral measure, the association of a set of unitary operators with a family of stationary series, and the ampliation. We illustrate this work by a simulated example, and we end by a particular case of cyclostationary function, where the Principal Components Analysis in the frequency domain is equivalent to the classical Principal Components Analysis." @default.
- W3208584703 created "2021-11-08" @default.
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- W3208584703 date "2022-05-01" @default.
- W3208584703 modified "2023-10-13" @default.
- W3208584703 title "Principal components analysis and cyclostationarity" @default.
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- W3208584703 doi "https://doi.org/10.1016/j.jmva.2021.104875" @default.
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