Phase reconstruction from bispectrum slices

We propose a new method for the reconstruction of the Fourier phase of a complex LTI system based on the principal arguments of any pair of horizontal consecutive bispectrum slices of the system output, Since principal bispectrum arguments only are required, there is no need for two-dimensional (2-D) phase unwrapping. The reconstructed phase differs from the true one by a constant, integer multiples of 2 pi, and a linear-phase component corresponding to an integer time delay. The ability to choose the location of the two slices enables us to avoid low signal-to-noise ratio (SNR) bispectral regions, which usually occur in the case of bandlimited systems.