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1、第33卷第1期計(jì)算機(jī)應(yīng)用研究Vo1.33No.12016年1月ApplicationResearchofComputersJan.2016非圓信號(hào)與圓信號(hào)共存下的快速方位估計(jì)算法術(shù)曾耀平,楊益新,盧光躍,黃瓊丹(1.西北工業(yè)大學(xué)航海學(xué)院,西安710072;2.西安郵電大學(xué)通信與信息工程學(xué)院,西安710121)摘要:針對(duì)非圓信號(hào)和圓信號(hào)共存時(shí),信號(hào)的波達(dá)方向估計(jì)算法運(yùn)算量較大的問(wèn)題,提出了一種可同時(shí)估計(jì)非圓信號(hào)和圓信號(hào)DOA的快速算法。利用觀測(cè)數(shù)據(jù)及其復(fù)其軛構(gòu)造中心復(fù)共軛對(duì)稱矩陣,通過(guò)雙映射定理可將該矩陣
2、轉(zhuǎn)換為實(shí)矩陣;利用多級(jí)維納濾波,無(wú)須計(jì)算陣列協(xié)方差矩陣及對(duì)其進(jìn)行特征分解,僅通過(guò)對(duì)接收的實(shí)數(shù)據(jù)矩陣遞推可快速求出觀測(cè)數(shù)據(jù)的信號(hào)子空間;利用酉ESPRIT算法的實(shí)值性,不必譜峰搜索,在保證DOA估計(jì)精度的同時(shí)可大降低算法的計(jì)算復(fù)雜度。仿真結(jié)果驗(yàn)證了算法的有效性。關(guān)鍵詞:波達(dá)方向估計(jì);非圓信號(hào);圓信號(hào);多級(jí)維納濾波;酉ESPRIT中圖分類號(hào):TN957.52;TP301.6文獻(xiàn)標(biāo)志碼:A文章編號(hào):1001·3695(2016)01—0181—04doi:10.3969/j.issn.1001—3695.20
3、16.叭.042FastDOAestimationundercoexistenceofbothnoncircularandcircularsourcesZengYaoping,YangYixin,LuGuangyue,HuangQiongdan(1.SchoolofMarineScience&Technology,No~hwesternPolytechnicalUniversity,Xi’an710072,China;2.SchoolofCommunication&Infor-mationEnginee
4、ring.Xi’anUniversityofPosts&Telecommunications,Xi’an710121,China)Abstract:Theexistedalgorithmshadhighcomputationalcomplexityunderthecoexistenceofbothnoncircularandcircularsources,aimingatthissituation,thispaperproposedafastalgorithm.Firstly,usingtherecon
5、structionofobserveddataanditsconjugate,centralcomplexHermitianmatrixcouldconve~intorealmatrixjustbythetheoremofdoublemapping.Secondly,usingtherecursionofrealmatrixwithmuhistageWienerfilter(MSWF),itcouldobtainthesignalsubspaceofobserveddata,anditavoidedth
6、eestimationofcovariancematrixanditseigendecomposition.Finally.usingtherealfeatureofunitaryESPRITalgorithm,withoutthesearchofspectrumpeak,thecomputationalloadofalgorithmbecamelessthanbeforeattheconditionofkeepinghigherprecisionofDOAestimation.Thecomputers
7、imulationconfirmsthevalidityandtheaccuracyoftheproposedalgorithm.Keywords:directionofarrivalestimation;noncircularsignal;circularsignal;muhistageWienerfilter;unitaryESPRIT工程實(shí)際應(yīng)用,文獻(xiàn)[7]提出了基于互耦誤差的非圓信號(hào)DOA0引言估計(jì)算法,文獻(xiàn)[8]將非圓信號(hào)擴(kuò)展到自適應(yīng)波束形成領(lǐng)域,這些算法極大地豐富了非圓信號(hào)的應(yīng)用范圍。近年來(lái)
8、,隨著稀在陣列信號(hào)處理中,高分辨的DOA估計(jì)有著非常重要的疏分解理論的發(fā)展,利用信源的空域稀疏性,將壓縮采樣定理地位,其在雷達(dá)、聲納、通信中的應(yīng)用也越來(lái)越廣泛?。傳統(tǒng)和DOA估計(jì)相結(jié)合。文獻(xiàn)[9]提出了基于稀疏分解的非圓信的高分辨算法都是假設(shè)信號(hào)是窄帶或者寬帶,并沒有考慮入射號(hào)DOA估計(jì)算法,該算法估計(jì)精度高,譜峰尖銳,但對(duì)噪聲比波的結(jié)構(gòu)特征,隨著技術(shù)發(fā)展,在現(xiàn)代通信中,二相相移鍵控較敏感,實(shí)際應(yīng)用中有一定困難。盡管具有較高的角度估計(jì)精(b