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Large scale behavior of wavelet coefficients of non-linear subordinated processes with long memory
Abstract : We study the asymptotic behavior of wavelet coefficients of random processes with long memory. These processes may be stationary or not and are obtained as the output of non--linear filter with Gaussian input. The wavelet coefficients that appear in the limit are random, typically non--Gaussian and belong to a Wiener chaos. They can be interpreted as wavelet coefficients of a generalized self-similar process.
Cited literature [21 references]
https://hal-imt.archives-ouvertes.fr/hal-00491303
Contributor : François Roueff <>
Submitted on : Friday, June 11, 2010 - 10:15:13 AM
Last modification on : Friday, July 31, 2020 - 10:44:05 AM
Document(s) archivé(s) le : Friday, September 17, 2010 - 1:49:50 PM
Contributor : François Roueff <>
Submitted on : Friday, June 11, 2010 - 10:15:13 AM
Last modification on : Friday, July 31, 2020 - 10:44:05 AM
Document(s) archivé(s) le : Friday, September 17, 2010 - 1:49:50 PM
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