A New Extended Target Detection Method Based on the Maximum Eigenvalue of the Hermitian Matrix

• Published in: Remote sensing (Basel, Switzerland) Vol. 16; no. 9; p. 1488
• Main Authors: Xu, Yong, Zhu, Yongfeng, Song, Zhiyong
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.05.2024
• Subjects: Accumulation; Algorithms; Bandwidths; Clutter; Covariance matrix; detection; Detectors; eigenvalue of maximum; Eigenvalues; extended target; Fourier transforms; Hermitian matrix; Likelihood ratio; Methods; Radar; Radar cross sections; Radar detection; Radar systems; Radar targets; range image; Signal to noise ratio; Target detection; Velocity
• ISSN: 2072-4292; 2072-4292
• DOI: 10.3390/rs16091488

In the field of radar target detection, the conventional approach is to employ the range profile energy accumulation method for detecting extended targets. However, this method becomes ineffective when dealing with non-stationary and non-uniform radar clutter scenarios, as well as long-distance targets with weak radar cross sections (RCSs). In such cases, the signal-to-noise ratio (SNR) of the target echo is severely degraded, rendering the energy accumulation detection algorithm unreliable. To address this issue, this paper presents a new extended target detection method based on the maximum eigenvalue of the Hermitian matrix. This method utilizes a detection model that incorporates observed data and employs the likelihood ratio test (LRT) theory to derive the maximum eigenvalue detector at low SNR. Specifically, the detector constructs a matrix using a sliding window block with the available data and then computes the maximum eigenvalue of the covariance matrix. Subsequently, the maximum eigenvalue matrix is transformed into a one-dimensional eigenvalue image, enabling extended target detection through analogy with the energy accumulation detection method. Furthermore, this paper analyzes the proposed extended target detection method from both theoretical and experimental perspectives, validating it through field-measured data. The results obtained from the measured data demonstrate that the method effectively enhances the SNR in low SNR conditions, thereby improving target detection performance. Additionally, the method exhibits robustness across different scattering center targets.