2001
DOI: 10.1103/physreve.63.036209
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Nonlinear noise reduction using reference data

Abstract: We introduce a method to clean uncorrelated deterministic and stochastic noise components from time series. It combines recently developed techniques for nonlinear projection with properties of the wavelet transform to extract noise in state space. The method requires that time series are generated by a dynamical system which is at least approximately deterministic and that they are recorded together with a reference signal. Its efficiency was tested on both simulated signals and measured magnetic fields of th… Show more

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Cited by 15 publications
(11 citation statements)
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“…This coloured noise could be removed by the aplication of more advanced DSP techniques such as wavelet denoising [45], reference data based non-linear denoising as an alternative improvement to gradiometry [46], and EEMD for baseline wander removal [47]. A second layer of coils ontop could provide an improvement to gradiometer performance as the second coils would be coaxial with the first but receive reduced cardiac magnetic flux [48].…”
Section: First Mcg Measurementsmentioning
confidence: 99%
“…This coloured noise could be removed by the aplication of more advanced DSP techniques such as wavelet denoising [45], reference data based non-linear denoising as an alternative improvement to gradiometry [46], and EEMD for baseline wander removal [47]. A second layer of coils ontop could provide an improvement to gradiometer performance as the second coils would be coaxial with the first but receive reduced cardiac magnetic flux [48].…”
Section: First Mcg Measurementsmentioning
confidence: 99%
“…4b) presents the major features of the human magnetocardiogram. After state-of-the-art filtering based on the noise extraction in state space [15] finer features can be resolved (Fig. 4c).…”
Section: Mumetalmentioning
confidence: 99%
“…The work described here was supported by Deutsche Forschungsgemeinschaft, Schweizerischer Nationalfonds, The same data filtered using state-of-the-art signal recovery techniques based on the noise extraction in state space [15]. data filtered using state-of-the-art signal recovery techniques based on the noise extraction in state space [15].…”
Section: Acknowledgmentsmentioning
confidence: 99%
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“…5b) allows one to identify the major features of the human magnetocardiogram. After state-of-the-art filtering [11] even the finer features can be resolved (Fig. 5c).…”
Section: Article In Pressmentioning
confidence: 99%