DOA Estimation of Propagator Method Based on FFT and Golden Section

Abstract

In view of the huge amount of calculation of the spectral peak search module in the propagation operator (PM) algorithm, it is often necessary to sacrifice direction finding accuracy in exchange for direction finding real-time performance in engineering practice. A propagation operator angle of arrival (DOA) estimation algorithm combining Fast Fourier Transform (FFT) and golden section method is proposed. The proposed algorithm firstly divides the covariance matrix and then performs linear operation to obtain the noise vector matrix, and then performs fast Fourier transform on it to roughly estimate the direction of arrival angle, Then, the golden section method is used to iteratively obtain the extreme value of the pseudospectral function within the estimated angle range to achieve accurate estimation of DOA.Theoretical analysis and simulation results show that the improved algorithm greatly reduces the computational complexity and execution time of the algorithm, and the direction finding accuracy is improved to a certain extent compared with the classical PM algorithm with 1° scanning step.In the environment of multi-signal coexistence and low signal-to-noise ratio, the direction finding stability is good.The improved algorithm can replace the spectral peak search module in the classic PM algorithm, and realize high-precision real-time direction finding while reducing the complexity of the PM algorithm, which has good practical value.