MATLAB Implementation of MUSIC Algorithm for Spatial Spectrum Estimation

This document presents my MATLAB simulation program designed to implement the MUSIC (Multiple Signal Classification) algorithm for spatial spectrum estimation. The program includes complete signal processing workflow implementation, starting from array signal reception through covariance matrix calculation, eigenvalue decomposition, and final spectrum estimation. Key functions implemented cover signal subspace identification, noise subspace extraction, and spatial spectrum computation using the MUSIC pseudospectrum formula. This simulation serves as an educational tool for researchers to better understand and master the MUSIC algorithm's underlying principles and mathematical foundations. It provides an experimental platform for further investigation into algorithm performance under various scenarios, including different signal-to-noise ratios, array configurations, and source directions. The code structure emphasizes modular design with separate functions for each major algorithm step, facilitating easy modification and extension. I welcome any suggestions or feedback regarding this implementation, as I'm keen to incorporate improvements that enhance both the practical utility and scientific rigor of this simulation program. Your insights will help optimize algorithm parameters, improve computational efficiency, and expand application scenarios.