Blind identification of single-input multiple-output pole-zero systems

In this paper we present a technique for the blind identification of single-input multiple-output (SIMO) pole-zero (PZ) systems using only second order statistics of the system output data. The system input is treated as an unknown deterministic sequence, and hence, restrictive i.i.d. Assumptions on the input sequence are not required. We estimate the poles and zeros of the channels in two steps: (1) estimate the product of all permutations of a numerator and a denominator polynomial from two different channels, and (2) extract individual numerator and denominator polynomials for each channel from the above estimate. Our technique performs well even with short records of data