New method for estimating parameters of two-dimensional damped/undamped harmonics

A new method was put forward which can be illustrated as follows: (1) three ESPRIT matrix pencils are constructed from the original data at first, (2) then the generalized eigenvalue problems of the noisy ESPRIT matrix pencils are reduced to the eigenvalue problems of three square matrices through using a combined method of eigendecomposition filtering and the total least squares method, hence two sets of estimates of pole components and a set of estimates of the products of pole components are yielded, (3) two-dimensional poles are then obtained according to these three sets of estimates through utilizing a simple pairing algorithm. The method has the advantages of less computation amount, convenience in using a parallel algorithm, and good accuracy in estimates.