Impulse response recovery of linear systems through weighted cumulant slices

Identifiability of the so-called w-slice algorithm is proven for ARMA linear systems. Although proofs were developed in the past for the simpler cases of MA and AR models [2][6], they were not extendible to general exponential linear systems. The results presented in this paper demonstrate a unique feature of the w-slice method which is unbiasedness and consistency when order is overdetermined, regardless of the IIR or FIR nature of the underlying system, and numerical robustness.