Gerschgorin Disk Method for Signal Source Number Estimation Using Dual-Row Linear Antenna Arrays in High-Frequency Surface Wave Radar

Using the Gerschgorin disk method, we can achieve more accurate estimation of signal source quantities through dual-row linear antenna arrays in high-frequency surface wave radar systems. This method utilizes eigenvalue distribution analysis from the sampled covariance matrix, where the Gerschgorin disks' radii correspond to the off-diagonal elements while centers align with diagonal elements of the covariance matrix. The algorithm implementation typically involves: 1) Computing the sample covariance matrix from received array signals, 2) Sorting diagonal elements to identify potential source eigenvalues, 3) Applying Gerschgorin circle theorem to separate signal and noise subspaces by analyzing disk intersections. This approach provides enhanced information capacity, enabling better understanding of signal source distribution and characteristics. Through this methodology, we can perform more comprehensive radar data analysis and obtain improved estimation accuracy. Therefore, in high-frequency surface wave radar applications, the Gerschgorin disk method serves as a valuable tool for achieving superior performance in signal source number estimation.