Design of Selective Detector for Distributed Targets Through Stochastic Characteristic of the Fictitious Signal

Xiong, Gaoqing; Cao, Hui; Liu, Weijian; Zhang, Jialiang; Wang, Kehao; Yan, Kai

doi:10.3390/s25030736

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Open AccessCommunication

Design of Selective Detector for Distributed Targets Through Stochastic Characteristic of the Fictitious Signal

by

Gaoqing Xiong

^1,2,

Hui Cao

^1,2,*,

Weijian Liu

³

,

Jialiang Zhang

^1,4,*

,

Kehao Wang

¹

and

Kai Yan

³

¹

School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China

²

Hubei Key Laboratory of Broadband Wireless Communication and Sensor Networks, Wuhan University of Technology, Wuhan 430070, China

³

Wuhan Electronic Information Institute, Wuhan 430019, China

⁴

Electrical and Electronics Dream Factory, Wuhan 430070, China

^*

Authors to whom correspondence should be addressed.

Sensors 2025, 25(3), 736; https://doi.org/10.3390/s25030736

Submission received: 31 December 2024 / Revised: 23 January 2025 / Accepted: 24 January 2025 / Published: 25 January 2025

(This article belongs to the Section Communications)

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Abstract

We investigate the problem of detecting the distributed targets buried in the Gaussian noise whose covariance matrix is unknown when signal mismatch occurs. The idea is to add a fictitious signal under the null hypothesis of the origin detection problem so that when signal mismatch occurs, the fictitious signal captures the mismatched signals, thus making the null hypothesis more plausible. More precisely, the fictitious signal is modeled as a Gaussian component with a covariance matrix of a stochastic factor multiplied by a rank-one matrix. The generalized likelihood ratio test (GLRT) is employed to address the modification detection problem. We present an exhaustive derivation of the detector and prove that it possesses the constant false alarm rate (CFAR) property. The performance analysis demonstrates the effectiveness of the proposed detector. When the SNR is 23 dB, as generalized cosine squared decreases from 1 to 0.83, the detection probability of the proposed GLRT-SL drops to 0.65, exhibiting the fastest decline compared to the G-ABORT-HE, which falls to 0.98, and the GW-ABORT-HE, which decreases to 0.85.

Keywords: distributed targets; signal mismatch; fictitious signal; constant false alarm rate

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MDPI and ACS Style

Xiong, G.; Cao, H.; Liu, W.; Zhang, J.; Wang, K.; Yan, K. Design of Selective Detector for Distributed Targets Through Stochastic Characteristic of the Fictitious Signal. Sensors 2025, 25, 736. https://doi.org/10.3390/s25030736

AMA Style

Xiong G, Cao H, Liu W, Zhang J, Wang K, Yan K. Design of Selective Detector for Distributed Targets Through Stochastic Characteristic of the Fictitious Signal. Sensors. 2025; 25(3):736. https://doi.org/10.3390/s25030736

Chicago/Turabian Style

Xiong, Gaoqing, Hui Cao, Weijian Liu, Jialiang Zhang, Kehao Wang, and Kai Yan. 2025. "Design of Selective Detector for Distributed Targets Through Stochastic Characteristic of the Fictitious Signal" Sensors 25, no. 3: 736. https://doi.org/10.3390/s25030736

APA Style

Xiong, G., Cao, H., Liu, W., Zhang, J., Wang, K., & Yan, K. (2025). Design of Selective Detector for Distributed Targets Through Stochastic Characteristic of the Fictitious Signal. Sensors, 25(3), 736. https://doi.org/10.3390/s25030736

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Design of Selective Detector for Distributed Targets Through Stochastic Characteristic of the Fictitious Signal

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