New cumulant-based inverse filter criteria for deconvolution of nonminimum phase systems

This work proposes a new family of cumulant-based inverse filter criteria J_M,m, which require a single slice of Mth-order (M⩾3) cumulants, a (2m)th-order cumulant, and a (2M-2m)th-order cumulant of the inverse filter output where 1⩽m⩽M-1, for deconvolution of linear time invariant (LTI) nonminimum phase systems with only non-Gaussian output measurements contaminated by Gaussian noise. Some simulation results are then presented for a performance comparison of the proposed criteria, Tugnait´s (1993) criteria, and Chi and Kung´s (1992) criteria. Finally, conclusions are presented