基于KL散度的雷達(dá)信號波形抗截獲性能評估
doi: 10.11999/JEIT161124
基金項(xiàng)目:
國家自然科學(xué)基金 (61201208),中國博士后科學(xué)基金(2014M561643),中央高校基本科研業(yè)務(wù)費(fèi)專項(xiàng)資金(NJ20150018)
Anti-interception Performance Evaluation of Radar Signal Waveform Based on KL Divergence
Funds:
The National Natural Science Foundation of China (61201208), China Postdoctoral Science Foundation (2014M561643), The Fundamental Research Funds for the Central Universities (NJ20150018)
-
摘要: 該文給出了一種對13類常用雷達(dá)信號波形的抗截獲性能進(jìn)行評價的新方法,可為雷達(dá)波形的設(shè)計(jì)者提供評價波形抗截獲性能的一般性準(zhǔn)則。該準(zhǔn)則假定白噪聲信號具有最好的抗截獲性能,通過將不同雷達(dá)信號波形和白噪聲信號進(jìn)行比較,得出雷達(dá)信號和白噪聲的相似程度。首先,利用Wigner半圓法推出白噪聲和雷達(dá)信號的特征分布函數(shù),然后用KL散度來表示雷達(dá)信號和白噪聲之間的相似性,較小的KL散度值,意味著較強(qiáng)的抗截獲性能,反之亦然。理論推導(dǎo)和仿真驗(yàn)證表明這種評價準(zhǔn)則可對不同雷達(dá)信號波形的抗截獲性能進(jìn)行有效評價。
-
關(guān)鍵詞:
- 雷達(dá)信號波形 /
- 抗截獲性能 /
- 評價準(zhǔn)則 /
- KL散度 /
- Wigner半圓法
Abstract: This paper presents a new method for evaluating the anti-interception performance of thirteen kinds of radar signals, which can be used to guide radar waveform designing. The method assumes that white noise signal has the best anti-interception performance, by comparing different radar signals with it, the similarity degree of radar signal and white noise signal can be obtained. First, the characteristics distribution function of white noise and radar signal distribution function are introduced using Wigner semicircle law. Second, KL divergence is used to represent the similarity between radar signal and white noise. Small value of KL divergence means better anti interception performance, and vice versa. Theoretical derivation and simulation results show that this method can evaluate the anti interception performance of different radar signals effectively. -
陳利虎. 跳頻信號的偵察技術(shù)研究[D]. [博士論文], 國防科學(xué)技術(shù)大學(xué), 2009. WANG F, SELLATHURAIM, LIU W, et al. Security information factor based airborne radar RF stealth[J]. Journal of Systems Engineering and Electronics, 2015, 26(2): 258-266. doi: 10.1109/JSEE.2015.00031. FANCEYC and ALABASTERC M. The metrication of low probability of intercept waveforms[C]. IEEE International Conference on Waveform Diversity and Design, Falls Niagara, Canada, 2010: 58-62. doi: 10.1109/WDD.2010.5592358. TUMMINELLO M, LILLO F, and MANTEGNA R N. Shrinkage and spectral filtering of correlation matrices: a comparison via the KullbackLeibler distance[J]. Acta Physica Polonica B, 2007, 38: 4079-4088. CONTERAS-REYES J E. Asymptotic form of the Kullback-Leibler divergence for multivariate asymmetric heavy-tailed distributions[J]. Physical A: Statistical Mechanics Its Applications, 2014, 395(4): 200-208. ERD OS L, KNOWLES A, YAU H T, et al. The local semicircle law for a general class of random matrices[J]. Electronic Journal of Probability, 2013, 18(12): 2140-2154. doi: 10.1214/EJP.v18-2473. BAI Z D, MIAO B, and TSAY J. Convergence rates of the spectral distributions of large Wigner Matrices[J]. International Journal of Computer Mathematics, 2002, 1(1): 65-90. GTZE F, NAUMOV A, TIKHOMIROV A N, et al. Local semicircle law under weak moment conditions[J]. Doklady Mathematics, 2016, 93(3): 248-250. doi: 10.1134/S10645624 16030029. BIROLI G, BOUCHAUD J P, and POTTERS M. The student ensemble of correlation matrices: eigenvalue spectrum and KullbackLeibler entropy[J]. Acta Physica Polonica B, 2007, 38: 4009-4026. BU Y, ZOU S, LIANG Y, et al. Estimation of KL divergence between large-alphabet distributions[C]. IEEE International Symposium on Information Theory. Barcelona, Spain, 2016: 1118-1122. JIANG L, LI L, and ZHAO G Q. Polyphase coded low probability of intercept signals detection and estimation using timefrequency rate distribution[J]. IET Signal Processing, 2016, 10(1): 46-54. doi: 10.1049/iet-spr.2014.0020 李秀友, 董云龍, 張林, 等. 一種新的低旁瓣LFM噪聲雷達(dá)波形設(shè)計(jì)方法[J]. 電子與信息學(xué)報, 2016, 38(6): 1452-1459. doi: 10.11999/JEIT151070. LI Xiuyou, DONG Yunlong, ZHANG Lin, et al. A new design method of low side lobe level LFM noise radar waveform[J]. Journal of Electronics Information Technology, 2016, 38(6): 1452-1459. doi: 10.11999/JEIT151070. 倪浩杰. 基于FPGA的噪聲調(diào)頻雷達(dá)信號處理系統(tǒng)的設(shè)計(jì)與實(shí)現(xiàn)[D]. [碩士論文], 南京理工大學(xué), 2008. 王釗, 顧紅, 蘇衛(wèi)民, 等. 基于共軛噪聲組的寬帶噪聲雷達(dá)機(jī)動目標(biāo)參數(shù)估計(jì)[J]. 電子與信息學(xué)報, 2015, 37(5): 1071-1077. doi: 10.11999/JEIT140737. WANG Zhao, GU Hong, SU Weimin, et al. Parameter estimation of maneuvering targets in wideband noise radar based on conjugate noise group[J]. Journal of Electronics Information Technology, 2015, 37(5): 1071-1077. doi: 0.11999/JEIT140737. 鄭慧芳, 鄧云凱. 隨機(jī)噪聲調(diào)頻信號帶寬分析[J]. 科學(xué)技術(shù)與工程, 2009, 9(15): 4351-4357. doi: 10.3969/j.issn.1671-1815. 2009.15.018. ZHENG Huifang and DENG Yunkai. Analysis of random noise frequency modulation signal's bandwidth[J]. Science Technology and Engineering, 2009, 9(15): 4351-4357. doi: 10.3969/j.issn.1671-1815.2009.15.018. HEUSCHEL E R. Time-frequency, bi-frequency detection analysis of noise technology radar[D]. [Ph.D. dissertation], Monterey California Naval Postgraduate School, 2006. -
計(jì)量
- 文章訪問數(shù): 1540
- HTML全文瀏覽量: 147
- PDF下載量: 324
- 被引次數(shù): 0