现代滤波器设计讲座PPT学习教案

1、会计学1第1页/共121页第2页/共121页( 1 )( 2 )( i )( j )( n-1 )( n )1iNi1,im1H1/2H 1/2H1/2H 1/2H1/2H 1/2H1/2H 1/2H1H1,2m2,im,1j nm2, jm2,1nm2,nm1,nnm, i jm,1i nm, i nm,1i nm1,nm第3页/共121页第4页/共121页第5页/共121页第6页/共121页1iiRQ1,2,3i 1iiiLC1,2,3i 第7页/共121页图三、K变换器的等效电路 第8页/共121页图四、3腔正交耦合滤波器的串联谐振回路等效电路模型第9页/共121页0)1(0)1(133

2、3322311332322221123132121111iCjLjRRijKijKijKiCjLjRijKeijKijKiCjLjRRLss第10页/共121页00321333231323222121312111sLSeiiijRRjKjKjKjRjKjKjKjRR Zie或，上述方程可以写成如下的矩阵形式 ： Z3 3其中， 是的阻抗矩阵。第11页/共121页 333231323222121312111jRRjKjKjKjRjKjKjKjRRZLS第12页/共121页第13页/共121页第14页/共121页第15页/共121页20122iiiiimFBWmFBW第16页/共121页11112

3、13221222331323330000 00000000 sLpRrmmmZpjrmmmpmmmRrp Ij RM第17页/共121页 jp Ij RMieFBW121000000 000000SnLnRrrRrRrLLLLLLLLL11121(1)121222(1)2(1)1(1)2(1)(1)(1)12(1)nnnnnnnnnnnnn nnnmmmmmmmmMmmmmmmmmLLLLLLLLL第18页/共121页012210FBW001FBW 12, 0FBW1;1 2;1 第19页/共121页 图六、三腔正交耦合滤波器归一化等效电路模型 第20页/共121页第21页/共121页1111

4、111110.00.000.00.0.000.00 .00.000.0.00.0000.0sssNsLsNLsNNNNNLNLsLLmmmRmmmmrZjmmmmrmmmR0 NLUj RM jUj RMieFBW正交耦合滤波器电路方程的一般形式正交耦合滤波器电路方程的一般形式 jZieFBW其中：其中：或或第22页/共121页1111111100ssNsLsNLsNNNNNLsLLNLmmmmmmmMmmmmmmmLLLLLLLLL第23页/共121页n腔体的等效电容n腔体的等效阻抗n其中， 是腔体品质因数。;sisiKmFBWLjLjKmFBWijijKm FBWSLSLKm20122ii

5、iiimFBWmFBW11;iiiiLC01iRQ0Q第24页/共121页n在电路中用电长度为90度，特性阻抗值为K的理想传输线段表示K变换器。lK Z L Z L K 2 Z = IN ZinZLZ0第25页/共121页率变化。nAnsoft Designer中理想传输线段的特性阻抗值可以为负值。第26页/共121页01.02090000000.856900.2167000.856900.784900000.784900.8569000.216700.856901.0209000000M第27页/共121页EE=90degF=FZ=m01*Sqrt(bwf)EE=90degF=FZ=m14*

6、bwfEE=90degF=FZ=m12*bwfEE=90degF=FZ=m23*bwfEE=90degF=FZ=m34*bwfEE=90degF=FZ=m01*Sqrt(bwf)+AI_1+AI_2+AI_3+AI_4R=1/QuC=C2L=L2R=1/QuC=C3L=L3R=1/QuC=C4L=L4R=1/QuC=C1L=L100第28页/共121页第29页/共121页第30页/共121页212iiWL I第31页/共121页第32页/共121页第33页/共121页图七、三腔正交耦合滤波器的并联谐振回路电路模型 第34页/共121页图八、导纳变换器及其等效电路 第35页/共121页图九、三腔

7、正交耦合滤波器的并联谐振回路等效电路 第36页/共121页1111221331121222233213123233331()1()01()0ssLGGj CvjJvjJvij LjJvGj CvjJvj LjJvjJvGGj Cvj L第37页/共121页111213112122232233132333()()00()SsLGGjjJjJvijJGjjJvvjJjJGGj Yvi第38页/共121页1111213221222331323330000 00000000 sLpGgtttYpjgtttptttGgp Ij GT第39页/共121页121000000 000000SnLnGggGgG

8、gLLLLLLLLL11121(1)121222(1)2(1)1(1)2(1)(1)(1)12(1) nnnnnnnnnnnnn nnnttttttttTttttttttLLLLLLLLL第40页/共121页第41页/共121页图十、三腔正交耦合滤波器归一化等效电路模型 第42页/共121页第43页/共121页11;sisiJmFBW11LjLjJmFBW1ijijijJFBW tFBW m1SLSLJm20122iiiiimFBWmFBWn腔体的等效电容n腔体的等效导纳n其中， 是腔体品质因数。11;iiiiLC001;iiGRQQ0Q第44页/共121页n在电路中用电长度为90度，特性阻抗

9、值为J的理想传输线段表示J变换器。lK Z L Z L K 2 Z = IN ZinZLZ0第45页/共121页01.02090000000.856900.2167000.856900.784900000.784900.8569000.216700.856901.0209000000M第46页/共121页C=C1L=L1R=QuC=C3L=L3R=QuC=C2L=L2R=QuC=C4L=L4R=QuEE=90degF=FZ=1/(m01*Sqrt(bwf)EE=90degF=FZ=1/(m12*bwf)EE=90degF=FZ=1/(m23*bwf)EE=90degF=FZ=1/(m34*bw

10、f)EE=90degF=FZ=1/(m01*Sqrt(bwf)EE=90degF=FZ=1/(m14*bwf)VV1VV2VV3VV4第47页/共121页第48页/共121页第49页/共121页212iiWCV第50页/共121页第51页/共121页倪大宁，“源-负载耦合交叉耦合滤波器综合与设计”，西安电子科技大学，硕士学位论文，2007.1第52页/共121页第53页/共121页第54页/共121页优化后的结果优化前的结果第55页/共121页01.186600.10290.02251.18660.05620.99980.54760.139000.99980.46011.222100.1029

11、0.54761.22210.27891.19850.02250.139001.19850M新矩新矩阵阵旧矩旧矩阵阵第56页/共121页Port1Port2C=C1L=L1R=QuKP=lamped/4Z=1/(M23*(bwf)KP=lamped/4Z=1/(Ms1*Sqrt(bwf)KZ=1/(M3L*Sqrt(bwf)KP=lamped/4Z=1/(M12*(bwf)C=C2L=L2R=QuC=C3L=L3R=QuKP=lamped/4Z=1/MsLKP=lamped/4Z=1/(M13*(bwf)第57页/共121页01.1952000.01391.19520.1449 1.10980.

12、5429001.10980.45461.0746000.5429 1.07460.1803 1.15420.0225001.15420M23M1sM34M13M3LMsLM源负载第58页/共121页第59页/共121页中心频率：26.453GHz; 带宽：41MHz零点频率：f1=26.323GHz; f2=26.524GHz; f1=26.607GHz; 第60页/共121页第61页/共121页0Port1Port2C=C1L=L1R=QuC=C2L=L2R=QuKP=lamped/4Z=1/(m12*bwf)KP=lamped/4Z=1/(mSL)KP=lamped/4Z=sqrt(Qi)

13、KP=lamped/4Z=sqrt(Qo)C=C3L=L3R=QuKP=lamped/4Z=1/(m23*bwf)KP=lamped/4Z=1/(m13*bwf)KP=lamped/4Z=1/(mS3*Sqrt(bwf)KP=lamped/4Z=1/(mL1*Sqrt(bwf)第62页/共121页第63页/共121页第64页/共121页第65页/共121页第66页/共121页第67页/共121页第68页/共121页Smain Amari, “Synthesis of Inline Filters With Arbitrarily Placed Attenuation Poles by Usin

14、g Nonresonating Nodes”， IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 53, NO. 10, OCTOBER 2005， P3075-3081第69页/共121页第70页/共121页Smain Amari,” New Building Blocks for Modular Design of Elliptic and Self-Equalized Filters”，IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 52, NO. 2

15、, FEBRUARY 2004，P 721-736第71页/共121页第72页/共121页第73页/共121页第74页/共121页第75页/共121页第76页/共121页第77页/共121页第78页/共121页第79页/共121页0000Port1Port2C=C1L=L1R=QuC=C3L=L3R=QuC=C2L=L2R=QuC=C4L=L4R=QuEZ=1/(M_S1*Sqrt(bwf)EZ=1/(M_23*(bwf)EZ=1/(M_43*(bwf)EZ=1/(M_3L*Sqrt(bwf)EZ=1/(M_13*(bwf)EZ=1/(M_12*(bwf)EZ=1/(M_S4*Sqrt(bwf

16、)EZ=1/(M_42*(bwf)VV4VV1VV2VV3第80页/共121页第81页/共121页第82页/共121页第83页/共121页第84页/共121页Richard J. CameronRichard J. Cameron, “, “Advanced Coupling Matrix Synthesis TechniquesAdvanced Coupling Matrix Synthesis Techniquesfor Microwave Filtersfor Microwave Filters” ”， IEEE TRANSACTIONS ON MICROWAVE THEORY AND

17、TECHNIQUES, VOL. 51, NO. 1, JANUARY 2003 1IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 51, NO. 1, JANUARY 2003 1， p1-10p1-10第85页/共121页00Port1Port2KP=lamped/4Z=1/(M_23*(bwf)C=C2L=L2R=QuC=C4L=L4R=QuC=C3L=L3R=QuKP=lamped/4Z=1/(M_34*(bwf)KP=lamped/4Z=1/(M_S2*Sqrt(bwf)KP=lamped/4Z=1/(M_5L*S

18、qrt(bwf)C=C5L=L5R=QuKP=lamped/4Z=1/(M_45*(bwf)KP=lamped/4Z=1/(M_25*(bwf)C=C1L=L1R=QuC=C6L=L6R=QuKP=lamped/4Z=1/(M_S1*Sqrt(bwf)KP=lamped/4Z=1/(M_6L*Sqrt(bwf)KP=lamped/4Z=1/(M_16*(bwf)VV1VV6VV3VV4VV5VV2第86页/共121页第87页/共121页第88页/共121页第89页/共121页第90页/共121页第91页/共121页000000Port1Port2KP=lamped/4Z=1/(M_25*(bw

19、f)C=C2L=L2R=QuC=C4L=L4R=QuC=C3L=L3R=QuKP=lamped/4Z=1/(M_34*(bwf)KP=lamped/4Z=1/(M_S2*Sqrt(bwf)KP=lamped/4Z=1/(M_5L*Sqrt(bwf)C=C5L=L5R=QuC=C1L=L1R=QuC=C6L=L6R=QuKP=lamped/4Z=1/(M_S1*Sqrt(bwf)KP=lamped/4Z=1/(M_6L*Sqrt(bwf)KP=lamped/4Z=1/(M_16*(bwf)KP=lamped/4Z=1/(M_4L*Sqrt(bwf)KP=lamped/4Z=1/(M_S3*Sqr

20、t(bwf)VV3VV4VV2VV5VV1VV6第92页/共121页第93页/共121页第94页/共121页第95页/共121页第96页/共121页第97页/共121页0000000Port1Port2KP=lamped/4Z=1/(M_23*(bwf)C=C2L=L2R=QuC=C4L=L4R=QuC=C3L=L3R=QuKP=lamped/4Z=1/(M_7L*Sqrt(bwf)C=C5L=L5R=QuKP=lamped/4Z=1/(M_45*(bwf)C=C1L=L1R=QuC=C6L=L6R=QuKP=lamped/4Z=1/(M_S1*Sqrt(bwf)KP=lamped/4Z=1/

21、(M_12*(bwf)KP=lamped/4Z=1/(M_56*(bwf)KP=lamped/4Z=1/(M_67*(bwf)C=C7L=L7R=QuKP=lamped/4Z=1/(M_16*(bwf)KP=lamped/4Z=1/(M_27*(bwf)VV1VV2VV3VV4VV5VV6VV7第98页/共121页第99页/共121页第100页/共121页第101页/共121页Smain Amari,” Physical Interpretation and Implications of Similarity Transformations in Coupled Resonator Filter Design”，IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 55, NO. 6, JUNE 2007， P1139-1152第102页/共121页第103页/共121页第104页/共121页第105页/共121页第106页/共121页Smain Am