Classic MUSIC Algorithm for DOA Estimation with Simple Incident Signal Construction

In this study, we implemented the classic Multiple Signal Classification (MUSIC) algorithm for Direction of Arrival (DOA) estimation by constructing simple incident signals and utilizing a 7-element antenna array for signal reception. The primary objective was to accurately estimate the direction of arrival, which enables better understanding of signal sources and propagation characteristics. Our implementation involved sophisticated mathematical methods for data analysis and processing, including Discrete Fourier Transform (DFT) for frequency domain conversion, autocorrelation functions for signal characterization, and covariance matrix computation for spatial spectrum estimation. The MUSIC algorithm implementation specifically involved: calculating the signal covariance matrix from array outputs, performing eigenvalue decomposition to separate signal and noise subspaces, and constructing the MUSIC pseudospectrum to identify DOA peaks. Through these methodological applications, we successfully captured subtle variations in received signals, thereby achieving more precise DOA estimation results. We believe this research will contribute positively to the advancement of signal processing and communication technologies.