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Algorithm for noise reduction for strongly contaminated chaotic oscillators based on the local projection approach and 2D wavelet filtering
- Source :
- Journal of Vibroengineering, Vol 18, Iss 4, Pp 2537-2544 (2016)
- Publication Year :
- 2016
- Publisher :
- JVE International, 2016.
-
Abstract
- In this paper, a novel algorithm based on the local projection noise reduction approach is applied to smooth noise for strongly contaminated chaotic oscillators. Specifically, one-dimensional time series are embedded into a high dimensional phase space and the noise level is defined through orthogonal projections of the data points within the neighbourhood of the reference point onto linear subspaces. The current vector of the phase space is denoised by performing two-dimensional discrete stationary wavelet transform (SWT)-based filtering in the neighbourhood of the phase point. Numerical results show that our algorithm effectively recovers continuous-time chaotic signals in heavy-noise environments and outperforms the classical local projection noise reduction approach for simulated data from the Rössler system and Duffing oscillator at signal-to-noise ratios (SNRs) from 15 to 0 dB, either for the real world data – human breath time series.
- Subjects :
- noise reduction
Mechanical Engineering
Stationary wavelet transform
Noise reduction
lcsh:Mechanical engineering and machinery
Chaotic
Duffing equation
wavelet shrinkage
01 natural sciences
Linear subspace
subspace decomposition
010305 fluids & plasmas
phase space reconstruction
Data point
Phase space
0103 physical sciences
local projection algorithm
General Materials Science
lcsh:TJ1-1570
Chaotic oscillators
010306 general physics
Algorithm
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 25388460 and 13928716
- Volume :
- 18
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- Journal of Vibroengineering
- Accession number :
- edsair.doi.dedup.....1b5a3cb6f91b887dc323d77bd3b01ea3