Some properties and algorithms for fourth order spectral analysis of complex signals
Cécile Huet, J. Le Roux · 2002
In this paper, we give two algorithms for linear system blind identification based on the fourth order spectrum (or trispectrum). The first algorithm uses only N of the N/sup 3/ data of the fourth order spectrum. The second algorithm uses all the information contained in the fourth order spectra, but gives an optimal solution. This solution needs a previous phase unwrapping step; we give different solutions to unwrap the trispectrum phase. Finally, we establish the link between the well-known kurtosis maximization method and the optimal solution presented here; they are equivalent in first approximation. It means that we give an analytic solution to the blind identification problem which is nearly equivalent to the kurtosis maximization solution.