基于二階統(tǒng)計(jì)量盲源分離算法的無源雷達(dá)同頻干擾抑制研究
doi: 10.11999/JEIT190178
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中國科學(xué)院空天信息創(chuàng)新研究院 北京 100094
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2.
微波成像技術(shù)國家級(jí)重點(diǎn)實(shí)驗(yàn)室 北京 100190
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3.
中國科學(xué)院大學(xué) 北京 100049
Research on Suppressing Co-channel Interference of Passive Radar Based on Blind Source Separation Using Second Order Statistics
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1.
Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100094, China
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2.
National Key Lab of Microwave Imaging Technology, Beijing 100190, China
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3.
University of Chinese Academy of Sciences, Beijing 100049, China
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摘要:
針對基于長期演進(jìn)(LTE)信號(hào)的無源雷達(dá)存在同頻基站干擾的問題,該文提出一種基于2階統(tǒng)計(jì)量的盲源分離算法,該算法是在卷積混合模型下,通過多通道最小均方(LMS)算法實(shí)現(xiàn)分離信號(hào)之間的相關(guān)性最小。由于各發(fā)射基站信號(hào)之間統(tǒng)計(jì)不相關(guān),當(dāng)分離信號(hào)之間的相關(guān)性達(dá)到最小時(shí),完成觀測信號(hào)的分離。在此基礎(chǔ)上,改進(jìn)了傳統(tǒng)無源雷達(dá)信號(hào)處理的流程,增加了分離同頻干擾基站直達(dá)波和多徑雜波的步驟,實(shí)現(xiàn)了對同頻干擾基站雜波的抑制。通過仿真分析,驗(yàn)證了算法的有效性,為基于LTE信號(hào)的無源雷達(dá)數(shù)據(jù)處理提供了參考。
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關(guān)鍵詞:
- 無源雷達(dá) /
- 長期演進(jìn)信號(hào) /
- 同頻干擾抑制 /
- 盲源分離 /
- 2階統(tǒng)計(jì)量
Abstract:For the problem of co-frequency base station interference in passive radar based on Long Term Evolution (LTE) signal, an algorithm based on blind source separation using second order statistics is proposed. The presented algorithm is based on convolution mixed model, and achieves the minimum correlation among separated signals through multi-channel Least-Mean-Square (LMS) algorithm. Without statistical correlation among the signals of each transmitting base station, the separation of the observed signals is completed when the separated signals achieve the minimum correlation. On this basis, the traditional signal processing for passive radar is improved. The steps of separating co-frequency interference clutter consisting of both direct-path and multipath clutter are added, which can suppress the clutter interference of co-channel base station. Simulation and analysis verify the effectiveness of the algorithm. The algorithm provides a reference for data processing of passive radar based on LTE signal.
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表 1 多通道LMS算法總結(jié)
參數(shù):$N$= 源數(shù)目,$M$= 觀測信號(hào)數(shù)目
一般假設(shè)$N = M$
${K_i}$= 分離濾波器階數(shù),$i = 1,2, ··· ,N$
${\mu _{ij}}$= 步長,$i,j = 1,2, ··· ,N$,且$i \ne j$輸入:${x_i}\left( t \right) = $觀測信號(hào),$i = 1,2, ··· ,N$ 初始化:${ {{W} }_{ {{ij} } } }\left( 0 \right) = { {{{\textit{0}}} }_{ {{Kj} } } }$, $i,j = 1,2, ··· ,N$,且$i \ne j$
${ {{Y} }_i}\left( t \right) = { {{{\textit{0}}} }_{Ki} }$, $i = 1,2, ··· ,N$
${K_i}$選取$K \ge \max \left\{ {{K_i},i = 1,2, ··· ,N} \right\}$
${\mu _{ij}}$根據(jù)輸入數(shù)據(jù)進(jìn)行調(diào)整計(jì)算:對$t = 1,2, ··· $,迭代計(jì)算:
${y_i}\left( t \right) = {x_i}\left( t \right) - \displaystyle\sum\nolimits_{j \ne i,j = 1}^N { {{W} }_{ij}^{\rm{T} }\left( {t - 1} \right){ {{Y} }_j}\left( t \right)} $
${{{W}}_{ij}}\left( t \right) = {{{W}}_{ij}}\left( {t - 1} \right) + {\mu _{ij}}{y_i}\left( t \right){{{Y}}_j}\left( t \right)$
${{{Y}}_i}\left( t \right) = {\left[ {{y_i}\left( {t - 1} \right),{y_i}\left( {t - 2} \right), ··· ,{y_i}\left( {t - {K_i}} \right)} \right]^{\rm{T}}}$
$i,j = 1,2, ··· ,N,i \ne j$終止條件:前后兩次分離信號(hào)之間相關(guān)性系數(shù)的變化量小于所設(shè)
的誤差門限輸出:${y_i}\left( t \right) = $分離信號(hào),$i = 1,2, ··· ,N$ 下載: 導(dǎo)出CSV
表 2 回波通道1仿真參數(shù)
主基站信號(hào) 同頻干擾基站信號(hào) 時(shí)延(μs) 衰減(dB) 時(shí)延(μs) 衰減(dB) 直達(dá)波 0 0 0.07 –1 多徑1 0.13 –8 0.20 –9 多徑2 0.29 –11 0.36 –12 多徑3 0.42 –15 0.59 –15 弱多徑 0.16~1.95 –20~>–30 0.16~1.95 –20~>–30 目標(biāo)1 11.39 –30 目標(biāo)2 17.15 –37 下載: 導(dǎo)出CSV
表 3 回波通道2仿真參數(shù)
主基站信號(hào) 同頻干擾基站信號(hào) 時(shí)延(μs) 衰減(dB) 時(shí)延(μs) 衰減(dB) 直達(dá)波 0.03 –2 0 –1 多徑1 0.19 –8 0.16 –9 多徑2 0.35 –14 0.36 –13 多徑3 0.46 –19 0.49 –14 弱多徑 0.16~1.95 –20~–30 0.16~1.95 –20~–30 下載: 導(dǎo)出CSV
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