A phase determination method for nonminimum phase ARMA systems by a single cumulant sample

The authors present a new phase determination method that begins with the same preprocessing by an inverse filter as G.M. Giannakis and J.M. Mendel's (1986) MP-AP (minimum phase-all pass) decomposition-based methods and then identifies the all-pass filter by maximizing the objective function J given by J.M. Mendel (see Proc. IEEE, vol.79, no.3, p.278, 1991), which only involves a single Mth-order (M>or=3) cumulant of the output signal of the all-pass system considered. Two phase searching algorithms, PSA1 and PSA2, are presented for finding the maximum of J. The former uses exhaustive search and the latter iterative search. PSA2 is preferred to PSA1 since it not only has a much simpler parallel processing structure but is also faster than PSA1. Some simulation results for the case of M=3 with noise-free synthetic data are provided to support the validity of the method.<
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