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Improved Preservation of Autocorrelative Structure in Surrogate Data Using an Initial Wavelet Step : Volume 15, Issue 3 (02/06/2008)

By Keylock, C. J.

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Book Id: WPLBN0003980106
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Improved Preservation of Autocorrelative Structure in Surrogate Data Using an Initial Wavelet Step : Volume 15, Issue 3 (02/06/2008)  
Author: Keylock, C. J.
Volume: Vol. 15, Issue 3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Keylock, C. J. (2008). Improved Preservation of Autocorrelative Structure in Surrogate Data Using an Initial Wavelet Step : Volume 15, Issue 3 (02/06/2008). Retrieved from

Description: School of Geography, University of Leeds, Leeds, UK. Surrogate data generation algorithms are useful for hypothesis testing or for generating realisations of a process for data extension or modelling purposes. This paper tests a well known surrogate data generation method against a stochastic and also a hybrid wavelet-Fourier transform variant of the original algorithm. The data used for testing vary in their persistence and intermittency, and include synthetic and actual data. The hybrid wavelet-Fourier algorithm outperforms the others in its ability to match the autocorrelation function of the data, although the advantages decrease for high intermittencies and when attention is only directed towards the early part of the autocorrelation function. The improved performance is attributed to the wavelet step of the algorithm.

Improved preservation of autocorrelative structure in surrogate data using an initial wavelet step

Abaimov, S. G., Turcotte, D. L., Shcherbakov, R., and Rundle, J. B.: Recurrence and interoccurrence behavior of self-organized complex phenomena, Nonlinear Proc. Geoph., 14, 455–464, 2007.; Angelini, C., Cava, D., Katul, G., and Vidakovic, B.: Resampling hierarchical processes in the wavelet domain: A case study using atmospheric turbulence, Physica D, 207, 27–40, 2005.; Ashkenazy, Y. and Tziperman, E.: Are the 41 kyr glacial oscillations a linear response to Milankovitch forcing? Quaternary Sci. Rev., 23, 1879–1890, 2004.; Basu, S., Foufoula-Georgiou, E., Lasheremes, B., and Arnéodo, A.: Estimating intermittency exponent in neutrally stratified atmospheric surface layer flows: A robust framework based on magnitude cumulant analysis and surrogate analyses, Phys. Fluids, 19, 115102, 2007.; Breakspear, M., Brammer, M., and Robinson, P. A.: Construction of multivariate surrogate sets from nonlinear data using the wavelet transform, Physica D, 182, 1–22, 2003.; Chan, G., and Wood, A. T. A.: AS 312 – An algorithm for simulating stationary Gaussian random fields, Appl. Stat.-J. Roy. St. C, 46, 171–181, 1997.; Keylock, C. J.: Constrained surrogate time series with preservation of the mean and variance structure, Phys. Rev. E, 73, 036707, 2006.; Keylock, C. J.: The visualisation of turbulence data using a wavelet-based method. Earth Surf. Proc. Land., 32, 637–647, 2007a.; Mallat, S.: A Wavelet Tour of Signal Processing. Academic Press, San Diego, 1999.; Muzy, J. F., Bacry, E., and Arneodo, A.: Wavelets and multifractal formalism for singular signals – application to turbulence data, Phys. Rev. Lett., 67, 3515–3518, 1991.; Nemoto, M. and Nishumura, K.: Direct measurement of shear stress during snow saltation. Boundary-Layer Meteorol. 100, 149–170, 2001.; Nicolleau, F., Vassilicos, J.C.: Wavelets for the study of intermittency and its topology, Phil. T. R. Soc. A, 357, 2439–2457, 1999.; Percival, D. B. and Walden, A. T.: Wavelet Methods for Times Series Analysis. Cambridge University Press, Cambridge, 2000.; Poggi, D., Porporato, A., Ridolfi, L., Albertson, J. D., and Katul, G. G.: Interaction between large and small scales in the canopy sublayer, Geophys. Res. Lett., 31, L05102, doi:10.1029/2003GL018611, 2004.; Keylock, C.J.: A wavelet-based method for surrogate data generation, Physica D, 225, 219–228, 2007b.; Kolwankar, K. M. and Lévy Véhel, J.: A time domain characterization of the fine local regularity of functions, J. Fourier Anal. Appl., 8, 319–334, 2002.; Kosugi, K., Sato, T., and Sato, A.: Dependence of drifting snow saltation lengths on snow surface hardness, Cold. Reg. Sci. Tech., 39, 133–139, 2004.; Schreiber, T.: Constrained randomization of time series data, Phys. Rev. Lett., 80, 2105–2108, 1998.; Schreiber, T., and Schmitz, A.: Improved surrogate data for nonlinearity tests, Phys. Rev. Lett., 77, 635–638, 1996.; Schreiber, T., and Schmitz, A.: Surrogate time series, Physica D, 142, 346–382, 2000.; SIDC-team.: World Data Center for the Sunspot Index, Royal Observatory of Belgium, Monthly Report on the International Sunspot Number, online catalogue of the sunspot index:, 2007.; Simoncelli, E. P., Freeman, W. T., Adelson, E. H., and Heeger, D. J.: Shiftable multiscale transforms, IEEE Trans. Inf. Theory, 38, 587–607, 1992.; Theiler, J., Eubank, S., Longtin, A., Galdrikian, B., and Farmer, J. D.: Testing for nonlinearity in time-series – the method of surrogate data, Physica D, 58, 77–94, 1992.; Theiler, J. and Prichard, D.: Constrained-realization Monte-Carlo method for hypothesis testing, Physica D, 94, 221–235, 1996.; Venema, V., Ament, F., and Simmer, C.: A Stochastic iterative amplitude adjusted Fourier transform algorithm with improved accuracy, Nonlinear Proc. Geoph., 13, 321&


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