MATLAB Simulation of MUSIC Algorithm for 8-Element Uniform Circular Array

This documentation presents a MATLAB simulation program implementing the MUSIC (Multiple Signal Classification) algorithm for an 8-element uniform circular array (UCA). The program enables comprehensive study of beamforming techniques and spatial spectrum analysis in wireless communication systems. Through this simulation, users can gain deeper understanding of MUSIC algorithm implementation for circular arrays and explore optimization strategies for direction of arrival (DOA) estimation. The simulation includes key MATLAB functions for array geometry setup, covariance matrix computation, eigenvalue decomposition, and spatial spectrum calculation. The code implements the core MUSIC algorithm workflow: receiving signal preprocessing, correlation matrix estimation, noise subspace identification through eigendecomposition, and peak detection in the spatial spectrum for accurate source localization. Key implementation features include: - Circular array configuration with 8 uniformly spaced elements - Signal model incorporating azimuth and elevation parameters - Eigenvalue decomposition for signal/noise subspace separation - 2D spatial spectrum visualization capabilities - Performance evaluation metrics for DOA estimation accuracy This simulation serves as an educational tool for antenna array signal processing and provides a foundation for developing advanced array processing algorithms in practical wireless systems.