Estimation of LFM Signal's Time Parameters under the alpha-Stable Distribution Noise

Abstract

Under the α -stable distribution noise, gauss model's algorithms based on two order statistics degrade distinctly, even induce wrong results. To this question, an algorithm of fractional low-order covariance (FLOC) fractional spectrum estimation is presented to estimate the LFM signal's characteristic parameters in this paper. The algorithm settles the question of LFM signal's detection under the α -stable distribution noise. The simulation results indicate that the algorithm presented in this paper has better toughness under both gauss and the α -stable distribution noise. (3) ,etc. The noise tentative bases on gauss model in these algorithms. However the clutter distribution that radar faced often badly offsets gauss distribution, so the capability of these algorithms degrades distinctly. The α -stable distribution is the only distribution which satisfies generalized central-limit theorem, so it has wide applicability in describing the non-Gaussian noise. In this paper, based on fractional Fourier transform and fractional low-order covariance(FLOC), an algorithm of fractional low-order covariance(FLOC)fractional spectrum estimation is presented to estimate the LFM signal's parameters under the α -stable distribution noise. The results obtained by the proposed algorithm are compared with the ones obtained using the fractional Fourier transform. The simulated results shows that, under the α -stable distribution noise, the proposed algorithm has better capability and wide applicability.