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Modified Generalized Likelihood Ratio Test Detection Based on a Symmetrically Spaced Linear Array in Partially Homogeneous Environments
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摘要: 针对部分均匀高斯干扰环境下的点目标检测问题，该文基于广义似然比准则(GLRT)提出一种适用于空间对称线阵的修正GLRT检测方法。考虑到采样时存在的目标能量泄漏，在接收信号建模时采用目标能量泄漏采样模型弥补泄漏损失，并基于干扰协方差矩阵的斜对称结构降低对辅助数据的需求，最终联合待检测数据和辅助数据实现未知参数的估计，得到兼具有良好目标检测和距离估计性能的斜对称修正GLRT检测方法。仿真结果表明，该方法不仅在部分均匀环境下具有恒虚警特性，而且在辅助数据数量受限时，相比其同类型的检测方法具有1 dB以上的检测性能优势。Abstract: To address the problem of detecting point-like targets in a partially homogeneous Gaussian cluttered environment, we developed a modified Generalized Likelihood Ratio Test (GLRT) detection method based on a symmetrically spaced linear array that relies on a GLRT design criterion. Considering the target energy spillover during sampling, we use a spillover model of the target energy to decrease spillover loss. To establish the discrete-time signal mode, we use a persymmetric structure of the disturbance covariance matrix to reduce the requirement for auxiliary signals. Lastly, we estimate all of the unknown parameters based on a consideration of both primary and secondary data to derive the persymmetric modified GLRT detector, which has good target detection and range estimation performance. The performance assessment shows that the proposed method not only performs as a constant false-alarm-rate receiver in partially homogeneous environments but also guarantees superior detection performance relative to that of its competitors. In sample-starved environments, compared with other detection methods of the same type, it realizes a detection performance advantage greater than 1 dB.
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图 1 PM-GLRT-PHE的
${P_{\rm{fa}}}$ 随$\gamma $ 的变化曲线Figure 1.
${P_{\rm{fa}}}$ against$\gamma $ for the PM-GLRT-PHE
图 2 PM-GLRT-PHE的
${P_{\rm{fa}}}$ 随$\rho $ 的变化曲线Figure 2.
${P_{\rm{fa}}}$ against$\rho $ for the PM-GLRT-PHE
图 3 辅助数据数量受限时的目标检测和距离估计性能
Figure 3. Detection and range estimation performance with small number of auxiliary samples
图 4 不同
$\gamma $ 下各检测方法的${P_{\rm{d}}}$ 随SCNR的变化曲线Figure 4.
${P_{\rm{d}}}$ against SCNR for each detection method under different$\gamma $ 
图 5 SCNR=18 dB时下各检测方法的
${P_{\rm{d}}}$ 随$\gamma $ 变化曲线Figure 5.
${P_{\rm{d}}}$ against$\gamma $ for each detection method when SCNR=18 dB
图 6 不同
$\gamma $ 下各检测方法的${\delta _{\rm{rms}}}$ 随SCNR的变化曲线Figure 6.
${\delta _{\rm{rms}}}$ against SCNR for each detection method under different$\gamma $ 
图 7 SCNR=18 dB时各检测方法的
${\delta _{\rm{rms}}}$ 随$\gamma $ 的变化曲线Figure 7.
${\delta _{\rm{rms}}}$ against$\gamma $ for each detection method when SCNR=18 dB
图 8 辅助数据数量充足时的目标检测和距离估计性能
Figure 8. Detection and range estimation performance with sufficient number of auxiliary samples
表 1 不同场景下PM-GLRT-PHE的阈值
Table 1. Thresholds of PM-GLRT-PHE in different cases
仿真场景 干扰数量 干扰波达角度 阈值$\eta $ 场景1 0 0 2.0098 场景2 1 5° 2.0484 场景3 2 5°, 10° 2.0188 场景4 3 –15°, 5°, 15° 1.9873 场景5 4 –20°, –10°, 5°, 20° 2.0308 
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