Description Usage Arguments Value Author(s) References See Also Examples
Computes the discrete Fourier transform of the wavelet associated to the given filter using scaling_function
. The length of the Fourier transform is equal to the length of the grid where the wavelet is evaluated.
1 | psi_hat_exact(filter,J=10)
|
filter |
wavelet filter as obtained with |
J |
2^J corresponds to the size of the grid for the discretisation of the wavelet. The default value is set to 10. |
psih |
Values of the discrete Fourier transform of the wavelet. |
grid |
Frequencies where the Fourier transform is evaluated. |
S. Achard and I. Gannaz
G. Fay, E. Moulines, F. Roueff, M. S. Taqqu (2009) Estimators of long-memory: Fourier versus wavelets. Journal of Econometrics, vol. 151, N. 2, pages 159-177.
S. Achard, I. Gannaz (2016)
Multivariate wavelet Whittle estimation in long-range dependence. Journal of Time Series Analysis, Vol 37, N. 4, pages 476-512. http://arxiv.org/abs/1412.0391
.
S. Achard, I Gannaz (2019) Wavelet-Based and Fourier-Based Multivariate Whittle Estimation: multiwave. Journal of Statistical Software, Vol 89, N. 6, pages 1-31.
1 2 3 | res_filter <- scaling_filter('Daubechies',8);
filter <- res_filter$h
psi_hat_exact(filter,J=6)
|
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