Estimating parameters of two-dimensional damped exponential mixtures

In this paper a novel approach for estimating the parameters of multiple damped exponentials from a two-dimensional mixture is proposed. The algorithm exploits the internal Vandermonde structure of the two-dimensional data block to estimate the signal parameters from the common factor of two matrix polynomials. A new estimation method for common factor extraction of two matrix polynomials is developed that accounts for the perturbations in the polynomial coefficients that usually are inevitable in real applications.