Fourth-Order Cumulant-Based Multiple Signal Classification (MUSIC) Algorithm with MATLAB Implementation

The fourth-order cumulant-based Multiple Signal Classification (MUSIC) algorithm is implemented in the MATLAB environment. This algorithm represents a fundamental signal processing technique that effectively identifies and distinguishes multiple signals through computation and classification of fourth-order cumulants. The MATLAB implementation enables convenient signal processing and analysis, providing researchers and engineers with a practical toolset. Key implementation aspects include: - Calculation of fourth-order cumulant matrices from signal data - Eigenvalue decomposition for noise subspace identification - Spatial spectrum estimation using MUSIC pseudospectrum - Peak detection algorithms for signal direction of arrival (DOA) estimation The algorithm implementation typically involves MATLAB functions for covariance matrix computation (cov), eigenvalue decomposition (eig), and array signal processing techniques. Beyond signal processing applications, the MUSIC algorithm finds significant utility in communication systems, radar applications, and array processing. Therefore, mastering this algorithm is crucial for deep understanding and practical application of advanced signal processing technologies.