Classical MUSIC Algorithm for Uniform Linear Arrays

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Implementation of the classical MUSIC algorithm with uniform linear arrays. This example demonstrates the MUSIC spectrum plot showing estimated signal directions. Our simulation uses 8 array elements with 2 received signals. The MUSIC algorithm achieves high-direction-estimation accuracy through eigenvalue decomposition and noise subspace utilization.

Detailed Documentation

This paper examines the working principles and performance of the classical MUSIC (Multiple Signal Classification) algorithm in the context of uniform linear arrays. MUSIC is a high-resolution direction-of-arrival estimation algorithm that analyzes the spatial spectrum density of received signals to determine incident angles. In our simulation setup, we implemented an 8-element array configuration processing 2 incoming signals. The algorithm involves key computational steps including covariance matrix calculation, eigenvalue decomposition to separate signal and noise subspaces, and peak detection in the MUSIC spectrum. The resulting algorithm plot visually displays estimated angles with remarkable precision. MUSIC's exceptional accuracy makes it widely applicable in signal processing and communication systems, particularly through its implementation using orthogonality between signal vectors and noise subspace eigenvectors.

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