Estimating two-dimensional frequencies by matrix enhancement and matrix pencil

A method for estimating 2D frequencies, called matrix enhancement and matrix pencil (MEMP), is presented. The MEMP method first constructs an enhanced matrix from the data samples, and then uses the matrix pencil approach to extract the 2D sinusoids from the principal eigenvectors of the enhanced matrix. The method yields the estimates of the 2D frequencies efficiently without solving the roots of a 2D polynomial or searching in a 2D space. Simulation results are provided to show that the accuracy of the MEMP method can be very close to the Cramer-Rao lower bound