Noise correction algorithm for nonlinear turbulent shear velocity time series based on energy spectrum of singular values
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Authors
Xiuyan Liu
- College of Information Science and Engineering, Ocean University of China, ShanDong 266100, P. R. China.
Xin Luan
- College of Information Science and Engineering, Ocean University of China, ShanDong 266100, P. R. China.
Dalei Song
- College of Engineering, Ocean University of China, Ocean University of China, ShanDong 266100, P. R. China.
Abstract
Shear velocity time series are essential in characterizing ocean turbulent flows. The moored platform is mounted with two
orthogonal shear probes (PNS06) to measure shear data for calculating velocity spectra. However, the shear probes are inevitably
contaminated by instrument noise and the complex marine environments. In this paper, a method based on singular spectra
decomposition was proposed to attenuate vibration noise by neglecting the higher-order modes in time-series reconstruction.
First, this method constructed a Hankel matrix with shear velocity data, then decomposed and reconstructed the shear signals
based on the method of conducting inverse singular value decomposition transformation on the values and their corresponding
vectors to achieve the purpose of signal de-noising. The corrected spectra match well with the empirical Nasmyth spectrum and
dissipation rates calculated from the noise-reduced shear spectra have dropped nearly one order of magnitude. The experimental
results show that the proposed method provides an effective and straightforward approach for eliminating the noise signals in
shear velocity spectra in ocean dynamics.
Share and Cite
ISRP Style
Xiuyan Liu, Xin Luan, Dalei Song, Noise correction algorithm for nonlinear turbulent shear velocity time series based on energy spectrum of singular values, Journal of Mathematics and Computer Science, 17 (2017), no. 1, 158-168
AMA Style
Liu Xiuyan, Luan Xin, Song Dalei, Noise correction algorithm for nonlinear turbulent shear velocity time series based on energy spectrum of singular values. J Math Comput SCI-JM. (2017); 17(1):158-168
Chicago/Turabian Style
Liu, Xiuyan, Luan, Xin, Song, Dalei. "Noise correction algorithm for nonlinear turbulent shear velocity time series based on energy spectrum of singular values." Journal of Mathematics and Computer Science, 17, no. 1 (2017): 158-168
Keywords
- Turbulent flows
- shear spectra
- singular values decomposition
- noise correction
- dissipation rates.
MSC
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