Orthogonal spectra to the dynamic dataset E are obtained with the Hilbert-transform:
where:
*Ψ is the 2D asynchronous spectrum
*ν en ν are two spectral channels
*y is the vector composed of the signal intensities in E in column ν
*n the number of signals in the original dataset
*N the Noda-Hilbert transform matrix
The values of N, N are determined as follows:
*0 if j = k
* if j ≠ k
where:
*j the row number
*k the column number