Spline-Interpolation-Based FFT Approach to Fast Simulation of Multivariate Stochastic Processes
Joint Authors
Li, Chunxiang
Li, Jinhua
Chen, Shuisheng
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-01
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
The spline-interpolation-based fast Fourier transform (FFT) algorithm, designated as the SFFT algorithm, is proposed in the present paper to further enhance the computational speed of simulating the multivariate stochastic processes.
The proposed SFFT algorithm first introduces the spline interpolation technique to reduce the number of the Cholesky decomposition of a spectral density matrix and subsequently uses the FFT algorithm to further enhance the computational speed.
In order to highlight the superiority of the SFFT algorithm, the simulations of the multivariate stationary longitudinal wind velocity fluctuations have been carried out, respectively, with resorting to the SFFT-based and FFT-based spectral representation SR methods, taking into consideration that the elements of cross-power spectral density matrix are the complex values.
The numerical simulation results show that though introducing the spline interpolation approximation in decomposing the cross-power spectral density matrix, the SFFT algorithm can achieve the results without a loss of precision with reference to the FFT algorithm.
In comparison with the FFT algorithm, the SFFT algorithm provides much higher computational efficiency.
Likewise, the superiority of the SFFT algorithm is becoming more remarkable with the dividing number of frequency, the number of samples, and the time length of samples going up.
American Psychological Association (APA)
Li, Jinhua& Li, Chunxiang& Chen, Shuisheng. 2011. Spline-Interpolation-Based FFT Approach to Fast Simulation of Multivariate Stochastic Processes. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-502574
Modern Language Association (MLA)
Li, Jinhua…[et al.]. Spline-Interpolation-Based FFT Approach to Fast Simulation of Multivariate Stochastic Processes. Mathematical Problems in Engineering No. 2011 (2011), pp.1-24.
https://search.emarefa.net/detail/BIM-502574
American Medical Association (AMA)
Li, Jinhua& Li, Chunxiang& Chen, Shuisheng. Spline-Interpolation-Based FFT Approach to Fast Simulation of Multivariate Stochastic Processes. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-502574
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502574