A Method for Threshold Setting and False Alarm Probability Evaluation for Radar Detectors

Zhennan Liang; Jiyu Gai; Xinliang Chen; Teng Ma; Quanhua Liu

doi:10.1016/j.sigpro.2023.108930

A Method for Threshold Setting and False Alarm Probability Evaluation for Radar Detectors

Zhennan Liang, Jiyu Gai, Xinliang Chen^*, Teng Ma, Quanhua Liu

^*Corresponding author for this work

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A threshold setting and false alarm probability evaluation method is proposed for radar detectors for which an analytical relationship between thresholds and false alarm probabilities is impossible or difficult to obtain due to complicated detection schemes or non-Gaussian noise and clutter. Importance sampling is performed to increase the sampling efficiency of low-probability samples. Then, the weighted piecewise parabolic (P²) interpolation method is used to rapidly plot the relationship curve between the threshold and the false alarm of the detector, with a low storage requirement and high accuracy. The proposed method effectively enhances the detector threshold computing scale and addresses the statistical verification of the false alarm probability for radar detectors with a low false alarm rate.

Original language	English
Article number	108930
Journal	Signal Processing
Volume	207
DOIs	https://doi.org/10.1016/j.sigpro.2023.108930
Publication status	Published - Jun 2023

Keywords

False alarm probability
Importance sampling
Piecewise parabolic interpolation
Radar detector threshold

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10.1016/j.sigpro.2023.108930

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title = "A Method for Threshold Setting and False Alarm Probability Evaluation for Radar Detectors",

abstract = "A threshold setting and false alarm probability evaluation method is proposed for radar detectors for which an analytical relationship between thresholds and false alarm probabilities is impossible or difficult to obtain due to complicated detection schemes or non-Gaussian noise and clutter. Importance sampling is performed to increase the sampling efficiency of low-probability samples. Then, the weighted piecewise parabolic (P2) interpolation method is used to rapidly plot the relationship curve between the threshold and the false alarm of the detector, with a low storage requirement and high accuracy. The proposed method effectively enhances the detector threshold computing scale and addresses the statistical verification of the false alarm probability for radar detectors with a low false alarm rate.",

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author = "Zhennan Liang and Jiyu Gai and Xinliang Chen and Teng Ma and Quanhua Liu",

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year = "2023",

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T1 - A Method for Threshold Setting and False Alarm Probability Evaluation for Radar Detectors

AU - Liang, Zhennan

AU - Gai, Jiyu

AU - Chen, Xinliang

AU - Ma, Teng

AU - Liu, Quanhua

PY - 2023/6

Y1 - 2023/6

N2 - A threshold setting and false alarm probability evaluation method is proposed for radar detectors for which an analytical relationship between thresholds and false alarm probabilities is impossible or difficult to obtain due to complicated detection schemes or non-Gaussian noise and clutter. Importance sampling is performed to increase the sampling efficiency of low-probability samples. Then, the weighted piecewise parabolic (P2) interpolation method is used to rapidly plot the relationship curve between the threshold and the false alarm of the detector, with a low storage requirement and high accuracy. The proposed method effectively enhances the detector threshold computing scale and addresses the statistical verification of the false alarm probability for radar detectors with a low false alarm rate.

AB - A threshold setting and false alarm probability evaluation method is proposed for radar detectors for which an analytical relationship between thresholds and false alarm probabilities is impossible or difficult to obtain due to complicated detection schemes or non-Gaussian noise and clutter. Importance sampling is performed to increase the sampling efficiency of low-probability samples. Then, the weighted piecewise parabolic (P2) interpolation method is used to rapidly plot the relationship curve between the threshold and the false alarm of the detector, with a low storage requirement and high accuracy. The proposed method effectively enhances the detector threshold computing scale and addresses the statistical verification of the false alarm probability for radar detectors with a low false alarm rate.

KW - False alarm probability

KW - Importance sampling

KW - Piecewise parabolic interpolation

KW - Radar detector threshold

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DO - 10.1016/j.sigpro.2023.108930

M3 - Article

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SN - 0165-1684

VL - 207

JO - Signal Processing

JF - Signal Processing

M1 - 108930

ER -

A Method for Threshold Setting and False Alarm Probability Evaluation for Radar Detectors

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Keywords

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