By analyzing the signal model of the Incoherently Distribute Source (IDS), a sparse representation based parameter estimation method of IDS is presented. Through using the Toeplitz characteristic and the two point approximation model as well as the Jacobi-Anger expansion model of the covariance matrix of the IDS, the angle spread and the central direction angle of the IDS is estimated by adopting two sparse representation problems. Compared with the present method, the proposed method does not need two dimensional searches and has low computational burden. Simulation results show that the proposed method has good parameter estimation performance in the low signal-to-noise ratio and small snapshot number scenario.
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