Swerling I 型起伏目标斜对称自适应检测算法

doi:10.12305/j.issn.1001-506X.2026.08.07

Abstract

Abstract:

Focusing on the Swerling I fluctuating targets detection problem in the Gaussian environment, in the binary hypothesis test, the complex amplitude of the target is modeled as a random variable with a complex Gaussian distribution, and the target signal energy is embedded into the covariance matrix of radar echo. The persymmetric structure of the covariance matrix is utilized to reduce the demand of detector for training samples. Five persymmetric detectors are designed by using the one-step generalized likelihood ratio test （GLRT）, two-step GLRT, Rao, Wald, and gradient criteria, respectively. The Cramer Rao bound for target power estimation is derived, and proof of the constant false alarm rate feature of the derived detectors is provided, as the computational complexity of the proposed detectors is analyzed. Simulations illustrate that the proposed detectors attain better detection performance compared to existing detectors. In the scenario of target signal mismatch, the adaptive detector based on the two-step GLRT criterion is the most robust one, and the adaptive detector designed based on the Rao criteria has better ability to reject the mismatch signals. Simulation results demonstrate the effectireness of the proposed algorithm.

Key words: adaptive detection, fluctuating target, persymmetry, constant false alarm rate （CFAR） property

CLC Number:

TN 957.51

Yuanyuan ZHENG, Hongzhi GUO, Zishu HE, Haoqi WU, Zhihang WANG, Ziyang CHENG. Persymmetric adaptive detection algorithm for Swerling I fluctuating targets[J]. Systems Engineering and Electronics, 2026, 48(8): 2581-2592.

Figures/Tables 5

Table 1

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检测器	检测统计量	计算复杂度
PGLRT-1S	式（46）	$ \mathcal{O}({g_1}{N_\varepsilon }{N^2}) $
PGLRT-2S	式（56）	$ \mathcal{O}({g_2}{N^2}) $
PRAO	式（80）	$ \mathcal{O}({g_1}{N^2}) $
PWALD	式（83）	$ \mathcal{O}({g_1}{N_\varepsilon }{N^2}) $
PGDT	式（86）	$ \mathcal{O}({g_1}{N_\varepsilon }{N^2}) $

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Persymmetric adaptive detection algorithm for Swerling I fluctuating targets

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