Noise space decomposition method for two-dimensional sinusoidal model

In this paper, we address the estimation of the parameters of the two dimensional sinusoidal signal model. The proposed method is the two dimensional extension of the one dimensional noise space decomposition method. The proposed methods provide consistent estimators of the unknown parameters and they are non-iterative in nature. We propose a pairing algorithm also, which helps in identifying the frequency pair. It is observed that the mean squares errors of the proposed estimators are quite close to the asymptotic variance of the least squares estimators.