New versions of the propagator method

In this paper, we introduce new technique for localization of narrowband signals. We propose two new versions of the propagator method. Using its algebraic properties, the cross-spectral matrix (CSM) is replaced by the upper triangular matrix (UTM) obtained from the LU or QR factorization of the CSM. The upper triangular matrices are partitioned to estimate the propagator. The LU factorization and Householder QR factorization algorithms need N³/3 and 2N³/3 floating point operations, respectively. The triangular factorization technique can reduce the complexity when compared to eigen subspace method such as MUSIC algorithm requires N³. Simulation results are presented to verify the effectiveness of the proposed methods.