Forward Smoothing MUSIC Algorithm Implementation

In this research study, we implemented the forward smoothing MUSIC algorithm using MATLAB software. The algorithm maintains excellent signal resolution capability even under low signal-to-noise ratio conditions, which has been verified through our simulation results. During the experimental process, we observed several interesting phenomena, such as varying algorithm performance under different SNR conditions. The implementation involves critical steps including forward averaging of covariance matrices, eigenvalue decomposition using MATLAB's eig() function, and spatial spectrum computation through pseudospectrum estimation. The algorithm employs signal subspace separation and noise subspace orthogonalization techniques to enhance direction-of-arrival estimation accuracy. Overall, this algorithm shows broad application prospects in the field of signal analysis, particularly suitable for scenarios requiring high-resolution parameter estimation in challenging noise environments.