1、12/c 34inPinLP210log10log 1inAinLPLILP 2221221110log20log()20log(1()()nILSjFSj 5()nF/C 21()Sj21()(),()N pSppjD p 22120log10log(1()inRLSj67333dBdBdBuLBWff606060333dBdBdBuLdBdBdBuLffBWSFBWff21212121arg(),/,/Sjdd pd相位延迟群延迟8ccstoredlossWPcQ 平均储能平均储能一个周期内的平均耗能功率损耗0,0ERR001EEELQRRC0,0ERR001FLQRRC0,0ERR001
2、LDEELQRRRRC033LDFE111QQQdBdBuLfff90fff 50,5,2,20GERRLnH CpF R00d m()/2Re()LDLDfffIZQQZdf 02LDLDLDfQQQf00()/2()LDLDffEfdLQQRRdf 1000002(1)(1)ffffffffff100()()LLGGZRZRZ20/8LinGPPVZ20022000012 24(/8)/22GLLDGLDFVPZZZQZVZZZRj QQLDLDFQ()(Q)QGLZRRRj222211/LinLDELDPPQQQ112222110log/inLDLLDEPQILPQQ222222/111
3、1inrinGLDEinininGLDPPZZQQLFPZZQ 022(,010log20log(1)ELDLDFffQQILQQ 谐振频率点)3322330030(,12(1 1/2),(1 1/2)/dBdBLULDdBdBLLDULDdBLDfffQffQffQBWfQ)12 1314LGCLL101R1R101/R10101j C111RRj C+RRR,1j C1RGGGLLLABCDZR ZR其中2GL11/(1RRj C 1/R)AGVV02LGLGLR11RR/RRRRGVV 20GVV15(,)LR 空载 221G1S=H1jRR CGVV H 22120log S10log
4、 HIL arctan Im H/Re H gdtd 50,10,10GRRCpF50,10,10GRRCpF16插入损耗可用反射系数表示为插入损耗可用反射系数表示为：22in22()()()MMN实际的滤波器网络的插入损耗均满足上式实际的滤波器网络的插入损耗均满足上式。17 镜像参量法是一种基于二端口网络的镜像参量法是一种基于二端口网络的ABCD参参数分析滤波器性能的方法数分析滤波器性能的方法,可以分析滤波器网络可以分析滤波器网络的镜像阻抗和传递函数。的镜像阻抗和传递函数。端接其镜像阻抗的二端口网络端接其镜像阻抗的二端口网络镜像阻抗：镜像阻抗：1 iABZCD2iBDZAC电压传递函数：电压
5、传递函数：21i1=eVBDDDADBCVZAA18电流传递函数：电流传递函数：21eIAAADBCIDD网络的传播因数：网络的传播因数：eADBC19222120log()10log(1)NILSj /c 22221211()1(1)()1(),exp(21)/2)NNiiiSjSppppjiN20g0=gm=21gn+1=010111,2sin(21)/2),1,(0,1,.1)mNNNiggmNgLPFggggg iN电路具有对称性:是归一化元件值,单位是/mhos/H/F22/10(1),log(101)/2log()2,60,10ASssASLssASILLNLdB N 例如2324
6、22221()1(1()NSjT 1coscos,1NTN 1coshcosh,1NTN 122332441,0(011(12(2123(3344(41 88NNNNN 0阶),T阶),T阶),T阶),T阶),T 2210log 1NILa T25dBRPL/101,a=101 26g0=gm=gn+1=27012211211,2sin(/2)14sin(21)/2)sin(23)/2),2,3,.sin(1)/)1.0,coth(/4),ln(coth(/17.37),sinh(/2)mmNNdBggNmNmNgmNgmNgNgNRPLN为奇数为偶数其中,0.10.111(1),()cosh
7、(101)/(101)/cosh()0.1,2,40,5.45AsdBssASLRPLsdBsASILLdBNRPLdBLdB N 例如282911,21,2,1LH LH CF a11.255,20.1922,0.5528LH LH CF13.3487,23.3487,0.7117,1LH LH CF30,cc 310000000000001001001001/,/,1/,/,/,SLNNSLNNZgggYgZYZgZgggGgGggg是电阻是电导是电阻是电导0000,/,/,rrrrrrrrLL CCRR GGL C R GL C R G是原归一化值是阻抗去归一化后的值00,)/,)rrR
8、g ggRGgggG是电阻(是电导(32(/),/CccC 00000000/,/,/rrrccrccRRRRRGGGGGLg gLLLLCg gCC 归一化电阻:R=g,g是电阻阻抗度量后:频率变换后:归一化电导:G=g,g是电导阻抗度量后:频率变换后:归一化电感量:是电感阻抗度量后:频率变换后:归一化电容量:是电容阻抗度量后:C频率变换后:C000/Zg33041321,1,1.0,2aggmhos ggH gF000/501.0/2/cccZgrad sf rad s 0000044400130 12201/1/(/)501/1/(/)50/3.979/3.183ccccZGgZGgLL
9、gnHgpF 欧姆欧姆C34GCLLL111RR+RR10101R1Rj LR111/R101011j Lj C1RGLABCD350 20GVV211/GGLVVRRR211111GGLVVARRj LR 221G1S1RR/jLGVRVL (,)LR 空载50,10,100GRRLnH50,10,100GRRLnH3637/Cc /CcCcj gjggj 380000000000/,/,1/ZgggY gZY是电阻,是电导,39041321,1,1.0,2aggmhos ggH gF000/501.0/2/cccZgrad sf rad s 0000044400130 12021/1/(/
10、)501/1/(/)501/()1.592/1.989ccccZGgZGgCCgpFgnH欧姆欧姆L40110111/1010111GGLGLLZZZZZABZZZCDZ1()ZRjLC4121/LGLGVZVZZRjLC50,50,205,2GLRRRLnH CpF42210()/FBW02121()/2)或者(4300/CCj gjg FBWgj FBW 00()CFBW 02=1,01c 440000000000/,/,1/ZgggY gZY是电阻,是电导,4546041321,1,1.0,2aggmhos ggH gF000/50,1.0/cZgrad s 00000444001300
11、2131020022201/1/(/)501/1/(/)50/7.9581/1.592/1.9891/6.366sscssspcppZGgZGgg FBWnHpFLFBWgnHpF 欧姆欧姆LLCCLCL210()/1/1.414FBW02122/rad s 471YGjCL211/11LLGLGLGZGjCLVZVZZYZZGjCL4849210()/FBW02121()/2)或者(5000/CCj gj FBWggFBWj 00/CFBW 510000000000/,/,1/ZgggY gZY是电阻,是电导,000020000000/1/1/1rrrpcrpcrprscrscRgGgLFB
12、WgCFBWgLLFBWgCFBWg LPF中 归 一 化 电 阻 g(g是 电 阻)BSF中 电 阻 值:LPF中 归 一 化 电 导 g(g是 电 导)BSF中 电 导 值:LPF中 归 一 化 电 感 g(g是 电 感)BSF中 并 联 电 感 值:并 联 电 容 值:LPF中 归 一 化 电 容 g(g是 电 容)BSF中 串 联 电 感 值:串 联 电 容 值:20/rsL5253041321,1,1.0,2aggmhos ggH gF000/50,1.0/cZgrad s 000004440013002131020022201/1/(/)501/1/(/)50/3.9791/3.1
13、83/3.9791/3.183ppcpppscssZGgZGgFBWgnHpFLFBWgnHpF欧姆欧姆LLCCLCL210()/1/1.414FBW02122/rad s 5400021012012/,()/2)ZgBW 或者5500tantaninZjZljZ002884ppvfvf560000tantan44LfjXj LjZjZSZf tan4Sj00tan4CjBj CjYSY 21111UEUESZABSCDSZ575859606162638000.6 1.8 10/8/87.5ppvcm slvfm m64图图121211,22eeVVVIII121211,22ododVVVII
14、I65 1112111211121112eeeeododododdVjLLIdzdIjCCVdzdVjLLIdzdIjCCVdz 0011,eopeepoodZZv Cv C661122eCCC1112221222odCCCCC1100221200211cot2112sineoeoZjZZlZZjZZZl671122LinLinLinVAZBZICZDDZBVZICZA,/inLinZZAD ZB C22200001cos2sinineoeoZZZZZll68690,1,1,10010011111,222i iN NNNiiFBWFBWFBWJJJZg gZZg gg g20,100,10,120,100,10,111oi ii ii iei ii ii iZZZ JZ JZZZ JZ J210FBW70
