Identification of Nonminimum Phase MA Systems Using Cepstral Operations on Slices of Higher Order Spectra

In this paper, recursive and least squares methods for reconstructing the impulse response of a nonminimum phase, linear, time-invariant (NMP-LTI) MA system from its (k + l)st-order spectrum (k > 1) are presented. The methods are nonparametric. They are based on computing the complex cepstrum of the impulse response sequence of the unknown system from the diagonal slice of the (k + 1)st-order spectrum. The computational complexity of the system identification problem can be considerably reduced by using slices of higher order spectra. © 1992 IEEE