MAXIMUM-LIKELIHOOD-ESTIMATION OF 2-D SUPERIMPOSED EXPONENTIAL SIGNALS

The problem of maximum likelihood estimation of the parameters (i.e., frequencies, amplitudes, and noise variance) of 2-D superimposed expon ential signals is considered. In this paper, a polynomial rooting appr oach is proposed to obtain the estimates of the 2-D frequencies. Stron g consistency and limiting distribution are established for the estima tes of the parameters. Furthermore, the covariance matrix of the limit ing distribution attains the Cramer-Rao lower bound.