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Under the condition of single snapshot, multiple signal classification (MUSIC) time of arrival (TOA) estimation algorithm improves its performance by forward and backward smoothing in frequency domain. Its ability to distinguish multipath is strong. However, this method is introduced from smoothing in spatial smoothing. And the derivation and the performance analysis are not given. For this problem, the derivation and performance analysis of MUSIC TOA estimation based on forward and backward smoothing in frequency domain is introduced in this paper. The full-rank conditions of autocorrelation matrix of multipath component fading coefficient are deduced. At the same time, estimation precision of noise subspace is higher after data is pre- processed by forward and backward smoothing. Simulation results show that the algorithm has better ability to distinguish multipath under situations of single snapshot. The algorithm has strong robustness and its performance is better than MUSIC TOA estimation algorithm of forward smoothing in frequency domain.

TOA Estimation Based on Forward and Backward Smoothing MUSIC in Frequency Domain