A new method for parameter estimation based on temporal-spatial extrapolation

An iterative nonparametric algorithm for estimating the frequencies and direction-of-arrivals (DOAs) of signals impinging on the passive array is proposed in this paper. The procedure includes two parts, frequency estimation by extrapolating the series in time domain and angle estimation by extrapolating the series in space domain. The extrapolation is carried out by using its sparse discrete Fourier transform (DFT), to get which, the deductions of minimization problem based on l₂-norm constraint and linear constraint using the iteration algorithm are presented. It is shown that the algorithm offers increased resolution, significantly reduced sidelobes and much lower computational complexity. Some numerical simulation and real data processing results are presented to verify the effectiveness of the method.