Enhanced Gerschgorin Disk Method for Source Number Estimation in Array Signal Processing
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In array signal processing, we present an enhanced implementation of the Gerschgorin disk method for source number estimation. This algorithm provides more accurate determination of signal source quantities by incorporating circular signal characteristics into the computational framework. The implementation involves calculating the sample covariance matrix from received array data, followed by eigenvalue decomposition to identify Gerschgorin disks' centers and radii. Key improvements include optimized disk radius thresholding and circular distribution analysis that accounts for signal coherence. Through this refined approach, we achieve more reliable source number estimation results, thereby enhancing both the precision and computational efficiency of signal processing systems. The MATLAB-based implementation features adaptive threshold selection and matrix operations optimized for real-time performance.
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