A new algorithm for retrieval of 2D exponentials

A novel parametric algorithm that can retrieve roughly 0.25MN 2D exponentials or 0.343MN 2D harmonics from M×N array data is presented. This compares favorably with most existing algorithms which can retrieve only order max(M, N) exponentials or harmonics. The algorithm is not Fourier resolution limited, and requires neither searching in 2D space nor 2D polynomial rooting. A specific example of retrieving 4 harmonics from a 3×3 array is developed in detail and numerical performance is demonstrated.