本文選題：信息幾何　切入點(diǎn)：測地線　出處：《雷達(dá)科學(xué)與技術(shù)》2017年02期 　論文類型：期刊論文

【摘要】：信息幾何理論將統(tǒng)計(jì)推斷問題轉(zhuǎn)換為幾何問題進(jìn)行處理,從而能夠從幾何的角度分析進(jìn)行統(tǒng)計(jì)推斷。以高斯噪聲下的信號檢測為研究對象,給出了基于信息幾何理論的信號檢測所需的理論基礎(chǔ),分析了測地線距離與檢測器性能之間的關(guān)系。分別以簡單假設(shè)和復(fù)合假設(shè)兩種情況,分析了兩種距離檢測器的性能,并與Neyman-Pearson檢測器和廣義似然比檢測器進(jìn)行了對比。計(jì)算機(jī)分析結(jié)果表明,測地線長度和方向共同決定了檢測性能,且距離檢測器性能與似然比檢測器性能相當(dāng)。
[Abstract]:The theory of information geometry transforms the statistical inference problem into a geometric problem, so that it can be analyzed and inferred from the geometric point of view. The signal detection under Gao Si noise is taken as the research object. The theoretical basis of signal detection based on information geometry theory is given, and the relationship between geodesic distance and detector performance is analyzed. Compared with the Neyman-Pearson detector and the generalized likelihood ratio detector, the computer analysis results show that the geodesic length and direction jointly determine the detection performance, and the performance of the distance detector is similar to that of the likelihood ratio detector.
【作者單位】： 空軍工程大學(xué)信息與導(dǎo)航學(xué)院;
【基金】：國家自然科學(xué)基金(No.61571456) 陜西省自然科學(xué)基金(No.2016JM0644)
【分類號】：TN911.23
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本文編號：1614667