The PEP Approach: A New Family of Methods Solving the Phase Estimation Problem

Knowledge of the q-th (q > 2) order spectrum of a linear non-Gaussian process allows to reconstruct both the magnitude and the phase of the corresponding input sequence. We propose in this paper a new family of phase retrieval algorithms, based on higher order spectra, named PEP (phase estimation using polyspectra) These new algorithms are easier to implement and use. Moreover, computer simulations show that among them, the 4-PEP and the (3.4)-PEP algorithms exhibit good performances facing classical methods especially for bandlimited systems