43bnull+nullnullnullvnullnullnull(1S) Vol.4 No. 32003M6JOURNAL OF AIR FORCE ENGINEERING UNIVERSITY(NATURAL SCIENCE EDITION) Jun.2003null.2?|q9ZE韩仲祥, null 夏靖波, null 王元一, null 马志强(b+v,null 710077 )Knull1:提出了一种高质量的正弦频率估计新方法,该方法的主要思想是:先对信号自相关矩阵进行特征值分解( Eigen value decompose简称EVD) ,找到最大特征值,尔后按一定规律构造一个非对称的相关阵,对其进行奇异值分解(Singular value decompose简称SVD) ,选取最小奇异值对应的奇异矢量,利用类似于Pisarenko谱估计方法的计算公式直接进行频率估计b模拟实验表明,在低信噪比( SNR)a短时数据下,利用这种方法进行单频复正弦频率估计,其分辨率和统计稳定性明显优于常规的MUSIC方法b1oM:频率估计;分辨率;MUSICms|: TN713null nullDSM:A null nullcI|:1009- 3516(2003)03- 0068- 04.2?q95B15,iO1L=NbMYqM9,Y3lo_# 0R0d,+, null1= null01+ null2R+, null2= null3= null= nullP = null2.2+, ui( i = 1, 2, null, P )+Ob+O 6u1= b1 Up ( null) null null b1 null0 (4)7uiH Up ( null) = 0null null i= 2, 3, null, P (5)nulll:2002- 10- 23null:nLinullTe:bV( 1971- ),3,2,pV3,1VY3|);1o( 1973- ),3,U,q,pV(),1VYY?aY5/nullT(4)+O UP ( null) fL0bW(|0bW) ,7T(5)5.2+O|0bWbT(4) ,V|Kv+Ou1u1= u11 null u 12 null nullnull u1p T= b1 UP ( null)= v (1) null v (2) null nullnull v ( P ) T (6)D 5M1l,V7L null MV :null nullTs1nulls2nullnullnullx L r Vs, L r = Min ( L , M )bID 4 , UL ( K S null) # UL ( null) L1,yND 6 ,T( 7)lV:rank ( V ) = 1 (13)gi , i= 2, 3, null, MV,s(yV1)sO,yNVgi= 0null null i= 2, 3, null, M (14)|T(8)T(14)V( b1 UTM ( null) gi ) UL ( K S null)= 0 (15) UL ( K S null) L1,yNT(7)lVsOgigiT UM ( null)= 0 null i= 2, 3, null, M (16)4aLaMK S (yM + ( L - 1) K S null P ,yN94PKl) ,5M1EVD),|Kv+O,i,|BO=iSVD),T(16)VB9ZEb+1bBgii= 2, 3, null, M4,BO+OF,EkHsY74KlssOgMO,Bz)pBKlssO,E,vv;=T(7) VK S45bAK S|KvM ,5M+ ( L- 1) K S= P9|v, Pvv,4sOq,19P1M1Kv+O, P9v,999v;Q,K S= 1 , P9/( LM%) ,sOq9/,99b9ZE1: null91M1; nullpP1M1Kv+_; nullT(7)V; nullpVKlssO; nullPisarenko9ZE9|qbP new ( null)= 1| gTm UM ( null)| 2(17)693null null null null null null null null null null null null null nullbV:.2?|q9ZEZE9M1BKv+O,9BBKlsO,yN9E,91PMUSICE1lBt;1MMUSICEv(151RPEVDspKv+O)b0bW9ZE,Xzd9,yN4ZE9Ez;HM1,yNZEMUSICEsOq,7Os,Cq1lbv9ELLBb2 null9EL!|T(1)U, N = 25|, W ( n)Znull2a(,.2, fTBB),d9LQ(10Q,T( 7)|K s= 1a2a3b4ZEESDVUbnnull nMUSICEeMUSICn null n , n null mESDEeESD n null m , ( LaM%)b(25, 0. 5, 0. 5, 10)VUN = 25, f 1= 0null5, null2= 0null5, times= 10 ,b2. 1null K s= 1Hm1m2sYN = 25, f 1= 0null5, null2= 0null5, times= 10#N = 25, f 1= 0null5, null2= 1, times= 10H?qsOm,VUBBq,:VUqbm1null null2= 0. 5HqsOmm2 null null2= 1HqsPm2. 2null K s= 2Hm3m4sYN = 25, f 1= 0null5, null2= 0null5, times= 10#N = 25, f 1= 0null5, null2= 1, times= 10H?qsOm,VUBBq,:VUqbm3null null2= 0. 5HqsOmm4 null null2= 1HqsOm70b+v(1S) null null null null null null null null null null null null null null null 2003Mnull nullVLTVA,N = 25, f 1= 0null5H, MUSICZEv, MUSIC 4null 4ZEMU-SIC 6null 6ZE+sO|q,7ESDZE(ZE)9AMUSIC 10 null10ZE(ESD 1null5ZE) ,+C,K s= 1H,ESD 1null 3ZEK,K s= 2H,ESD2null5Z