Identification of two dimensional harmonics via 1-D polynomial root finding

A novel parametric algorithm that can identify roughly N²/4 exponentials (harmonics) via 1-D polynomial rooting technique is presented. This compares favorably with most existing algorithms which can identify only order N harmonics. The algorithm is not Fourier resolution limited, and requires neither searching in 2-D space nor 2-D polynomial rooting. A specific example of identifying 4 harmonics from a 3×3 array is developed in detail and numerical performance is demonstrated.