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- W106369934 abstract "The problem of extracting a “signal” xn generated by a dynamical system from a time series yn = xn + en, where en is an observational error, is considered. It is shown that consistent signal extraction is impossible when the errors are distributed according to a density with unbounded support, and the underlying dynamical system admits bomoclinic pairs. It is also shown that consistent signal extraction is possible when the errors are uniformly bounded by a suitable constant and the underlying dynamical system has the “weak orbit separation property”. Simple algorithms for signal recovery are described in the latter case." @default.
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- W106369934 date "2001-01-01" @default.
- W106369934 modified "2023-09-23" @default.
- W106369934 title "Removing the Noise from Chaos Plus Noise" @default.
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- W106369934 doi "https://doi.org/10.1007/978-1-4612-0177-9_9" @default.
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