Root-MUSIC Algorithm Source Code for Array Signal Processing

This document focuses on array signal processing, specifically providing the source code implementation for the root-MUSIC algorithm. Array signal processing involves analyzing and manipulating signals received by sensor or antenna arrays to extract valuable information such as signal source direction of arrival. The root-MUSIC algorithm is a high-performance direction-finding method that employs eigenvalue decomposition of the received signal covariance matrix. The algorithm implementation typically involves: - Computing the sample covariance matrix from array sensor data - Performing eigenvalue decomposition to identify signal and noise subspaces - Formulating the MUSIC spatial spectrum using orthogonal subspace properties - Applying root-finding techniques to polynomial equations derived from the spectrum - Extracting direction of arrival estimates from the polynomial roots Key functions in the implementation include covariance matrix calculation, eigenvalue decomposition, polynomial rooting, and angle estimation conversion. The algorithm demonstrates superior resolution and accuracy in direction of arrival estimation compared to conventional methods. This source code provides a complete implementation enabling users to perform advanced direction finding operations in array signal processing applications.