电子与信息学报
電子與信息學報
전자여신식학보
JOURNAL OF ELECTRONICS & INFORMATION TECHNOLOGY
2013年
3期
24-31
,共8页
夏双志*%戴奉周%刘宏伟
夏雙誌*%戴奉週%劉宏偉
하쌍지*%대봉주%류굉위
目标检测%检测前跟踪%贝叶斯理论%Neyman-Pearson准则%检测阈值
目標檢測%檢測前跟蹤%貝葉斯理論%Neyman-Pearson準則%檢測閾值
목표검측%검측전근종%패협사이론%Neyman-Pearson준칙%검측역치
Target detection%Track-before-detection%Bayesian theory%Neyman-Pearson criterion%Detection threshold
在Neyman-Pearson准则下,对于贝叶斯检测前跟踪算法,为了能够按照系统要求的虚警概率实时地设置检测阈值,该文在观测噪声为复高斯白噪声的情况下推导得到了检测阈值的近似闭式解.对于贝叶斯检测前跟踪算法,该文从似然比检测形式入手,推导了检测统计量的表达式,得到了系统虚警概率同检测阈值之间的关系,并在观测噪声为复高斯白噪声的情况下给出了检测阈值的近似闭式解.计算机仿真实验表明,利用该检测阈值的近似闭式解,可以按照系统要求的虚警概率实时地计算检测阈值,从而使得实际系统的虚警概率满足要求.
在Neyman-Pearson準則下,對于貝葉斯檢測前跟蹤算法,為瞭能夠按照繫統要求的虛警概率實時地設置檢測閾值,該文在觀測譟聲為複高斯白譟聲的情況下推導得到瞭檢測閾值的近似閉式解.對于貝葉斯檢測前跟蹤算法,該文從似然比檢測形式入手,推導瞭檢測統計量的錶達式,得到瞭繫統虛警概率同檢測閾值之間的關繫,併在觀測譟聲為複高斯白譟聲的情況下給齣瞭檢測閾值的近似閉式解.計算機倣真實驗錶明,利用該檢測閾值的近似閉式解,可以按照繫統要求的虛警概率實時地計算檢測閾值,從而使得實際繫統的虛警概率滿足要求.
재Neyman-Pearson준칙하,대우패협사검측전근종산법,위료능구안조계통요구적허경개솔실시지설치검측역치,해문재관측조성위복고사백조성적정황하추도득도료검측역치적근사폐식해.대우패협사검측전근종산법,해문종사연비검측형식입수,추도료검측통계량적표체식,득도료계통허경개솔동검측역치지간적관계,병재관측조성위복고사백조성적정황하급출료검측역치적근사폐식해.계산궤방진실험표명,이용해검측역치적근사폐식해,가이안조계통요구적허경개솔실시지계산검측역치,종이사득실제계통적허경개솔만족요구.
In order to set the detection threshold in real time according to the demanded false alarm probability for Bayesian track-before-detect under Neyman-Pearson criterion, this paper derives the closed-form solution of the detection threshold in white complex Gaussian noise. For the Bayesian track-before-detect, this paper starts from the likelihood ratio testing form, derives the relationship between the false alarm probability and the detection threshold in detail, and obtains the closed-form solution of the detection threshold in white complex Gaussian noise. The simulation results show that the detection threshold can be ascertained in real time for Bayesian track-before-detect according to the false alarm probability in demand using the presented approach.