Golden-section peak search in fractional Fourier domain

摘要

This paper proposes a new strategy which combines the principle of golden and the quasi-Newton iterative method, when search peak and estimate the LFM signal's parameters with fractional Fourier transform. The new strategy set the step value in the golden section when search the LFM signal FRFT's peak, and then take advantage of the quasi-Newton iterative method to accurately estimate the LFM signal's parameters. The proposed new strategy reduces the step size selection on the signal parameter estimation accuracy, and achieves the same accuracy while reducing the computational search. The computer simulation result s indicate that the new strategy, which combines the principle of golden and the quasi-Newton iterative method, is effectiveness and superiority in LFM signal estimation with the fractional Fourier transform.