Large scale behavior of wavelet coefficients of non-linear subordinated processes with long memory

作者：Clausel Marianne; Roueff Francois^*; Ta**u Murad S; Tudor Ciprian

来源：Applied and Computational Harmonic Analysis, 2012, 32(2): 223-241.

DOI：10.1016/j.acha.2011.04.003

• Hermite processes
• Wavelet coefficients
• Wiener chaos
• Self-similar processes
• Long-range dependence

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.

• 出版日期2012-3