基于t分布擴展概率主成分分析模型的一維距離像識別方法
doi: 10.11999/JEIT161220
基金項目:
國家自然科學基金(61571364),西北工業(yè)大學研究生創(chuàng)意創(chuàng)新種子基金(Z2017022)
Using t-distribution Based Probabilistic Principal Component Analysis Model for High Resolution Range Profile Recognition
Funds:
The National Natural Science Foundation of China (61571364), The Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Poly-technical University (Z2017022)
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摘要: 該文針對概率主成分分析(PPCA)模型用于1維高分辨距離像(HRRP)識別對噪聲敏感的問題,對經(jīng)典PPCA模型進行修正。該方法將基于高斯分布的PPCA模型擴展為基于t分布的PPCA模型,能夠綜合利用t分布對噪聲穩(wěn)健和PPCA模型自由參數(shù)少的特性。同時為了減少目標方位敏感性對HRRP統(tǒng)計建模的影響,進一步將t分布模型擴展為混合概率t分布模型,能夠以分布趨同的原則將不同方位幀內(nèi)具有相同統(tǒng)計特性的HRRP數(shù)據(jù)進行聚類,減少模型的失配,改善識別性能。模型參數(shù)通過期望最大值(EM)算法估計,可提高計算效率。最后,通過貝葉斯規(guī)則,以獲取的統(tǒng)計特征識別測試數(shù)據(jù),仿真結(jié)果表明該方法能夠提高低信噪比條件下PPCA模型的穩(wěn)健性。Abstract: In order to improve the sensitivity problem of using Probabilistic Principal Component Analysis (PPCA) model for HRRP recognition, a modified method is proposed. T-distribution is adopted as the basis of PPCA model rather than Gaussian distribution in this method, which utilizes not only the t-distributions robustness, but also less free parameters of PPCA characteristic. Further, to eliminate the targets azimuth sensitivity, the mixture t-distribution is substituted for single t-distribution. This modification offers a potential to model the similar density of HRRP in different azimuth range adequately for clustering and reduces the mismatch between models, thus improves the recognition performance. Estimation of parameters is achieved by EM algorithm to avoid the drawbacks of maximum-likelihood estimation and improve the estimation efficiency. Finally, in the simulation experiment Bayesian rule and the estimation statistical features are adopted together to test new HRRPs, the results show this method can improve the robustness of PPCA model in low SNR conditions.
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