A function

Bias correction matrices

Matrices needed in order to eliminate the effect of "spectral leakage" for the local dtcwt-spectra. data

Format

A list with entries N1024, N512, N256, N128, N64, N32, each containing the bias correction matrix of appropriate size.

Source

Calculated by brute force.

A_b_bp

A_b

Details

As descibed in Nelson et al. (2018), the squared coefficients of the undecimated dtcwt (the local wavelet spectrum) can be used to obtain an estimate of local correlations in space. This estimator has a bias which mostly consists of an over-emphasis on the largest scales. It can be removed by multiplying each local spectrum with a matrix which depends only on the choice of wavelet and the dimensions of the field.

Examples

image( A_b_bp$N512 )

References

Nelson, J. D. B., A. J. Gibberd, C. Nafornita, and N. Kingsbury (2018) doi:10.1007/s11222-017-9784-0.