On the identification of nonminimum phase systems from arbitrary slices of output higher-order spectra

We propose techniques for nonminimum phase signal restoration from arbitrarily oriented one dimensional slices of their 3rd order spectra (bispectra). We show that one oblique, arbitrary slice of the bispectrum carries sufficient information to estimate the impulse response of a complex valued system within a scaling factor and a time shift. We derive identifiability conditions for ARMA systems, and investigate, through Monte Carlo simulations, the statistical performance of the proposed techniques