射頻低雜訊放大器與被動元件之實作與設計

୯ҥҬ೯εᏢႝߞπำᏢࣴز܌

ᅺγፕЎ

ʳ ʳ ʳ ʳ ʳ ʳ

৔ᓎեᚇૻܫεᏔᆶ೏୏ϡҹϐჴբᆶ೛ी

Implementation and Design of RF Low Noise

Amplifier and Passive elements

ʳ ʳ ʳ ʳ ʳ ʳ ʳ

ࣴزғǺᗛඵน

ࡰᏤ௲௤Ǻۏቼے

ύ๮҇୯ΐΜΟԃϤД

৔ᓎեᚇૻܫεᏔᆶ೏୏ϡҹϐჴբᆶ೛ी

Implementation and Design of RF Low Noise

Amplifier and Passive elements

ࣴزғǺᗛඵน Student: Jhih-Ci Jhong

ࡰᏤ௲௤Ǻۏቼے റγ Advisor: Dr. Chin Chun Meng

୯ ҥ Ҭ ೯ ε Ꮲ

ႝߞπำسᅺγ੤

ᅺγፕЎ

A Thesis

Submitted to Institute of Communication Engineering

College of Electric Engineering and Computer Science

National Chiao Tung University

In Partial Fulfillment of the Requirements

For the Degree of

Master of Science

In

Communication Engineering

June 2004

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ᄔा!

! ! ҁፕЎЬाࣴز৔ᓎᑈᡏႝၡύޑեᚇૻܫεᏔаϷ౦፦ௗय़ᚈ ၩηႝ඲ᡏᚇૻϩ݋ᆶ೏୏ϡҹǴхࡴΑႝགᆶᡂᓸᏔǶ җܭႝགᆶᡂᓸᏔӧ৔ᓎᑈᡏႝၡВᖿख़ाǴᕇளϡҹޑኳࠠஒ ԖᔅշВࡕޑႝၡ೛ीǶӢࣁ GCT 2µm InGaP/GaAs HBT ᏱԖၨӳޑന եᚇૻࡰኧکၨଯޑቚ੻Ǵ܌аճҔ HBT ᇙำǴٰࣴᇙᔈҔܭ 802.11a WLAN ϐ 5GHz ᓎ஥եᚇૻܫεᏔǶՠࢂ඲Тᇙ೷ቷගٮޑኳࠠόё ᅰߞǴӢԜךॺճҔӚᅿόӕελޑЬ୏ϡҹѐໆෳځଯᓎୖኧȐS ୖ ኧکᚇૻୖኧȑᆶ᏾౛ϩ݋ϐǴ຾Զவύ೛ीեᚇૻܫεᏔǶനࡕӧ೸ ၸჴբѐ௖૸ϣ೽ϰଛჹեᚇૻܫεᏔޑቹៜǶዴۓϣ೽ϰଛεεቚу ΑեᚇૻܫεᏔޑቚ੻ǴΨගϲޑեᚇૻܫεᏔ੝܄Ƕ !

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Abstract

This thesis describes Low Noise Amplifier, Analysis of HBT noise, and passive element including inductor and transformer.

Nowadays, an accurate inductor or transformer device model can really help for circuit designer due to its importance in RF circuit.

Because high gain and low noise characteristic of InGaP/GaAs HBT, it is better choice for Radio Frequency Low Noise Amplifier design , such as 802.11a WLAN application. The model provided by the foundry may not be totally accurate, so we measure and analyze active devices to get high frequency S and noise parameters. Then a 5.2GHz low noise amplifier is implemented with measurement-based design data. Finally, Inter-Stage Matching technique provides higher gain and high performance by implemented a low noise amplifier with Inter-Stage Matching.

ᇞᖴ!

ٿԃޑࣴز܌ғࢲύǴགᖴࡐӭΓޑЍ࡭کᔅԆωૈᡣךޑፕЎள а໩ճֹԋǶགᖴۏቼےԴৣޑࡰᏤǴᡣךૈӧࣴزၸำύளډ೚ӭߥ ຦ޑ࿶ᡍǴளаှ،܌ၶډޑᅿᅿ֚ᜤǴ٠Ъᡏ཮ډ੿҅ޑࣴزᆒઓک ᄊࡋǶགᖴֈᏢγ௲௤ᆶ၏੻Ϙ௲௤ᆶ೾Ϙ଄௲ӧα၂ਔǴ௤ගٮᝊ຦ ޑࡌ᝼ǶќѦǴӧࣴزӧ඲Тෳໆၸำ΢Ǵ੝ձाགᖴ୯ৎడ༾ԯჴᡍ ࠻৔ᓎໆෳჴᡍ࠻ӄᡏӕϘόᜏٌधӦεΚᔅԆωளаעፄᚇޑໆෳπ բֹԋǶ གᖴჴᡍ࠻ޑε଻ǵդ֡ǵےᑣǵדวǵЦᆢǵܿξǵࣔሺᏢߏۆ ޑࡰᏤᡣךჹܭࣴزԖ׳ӭޑΑှǶӕਔाགᖴჴᡍ࠻ޑӕᏢࣁࢅǵܴ ڻǵቼᗶǵһ఼ǵಏӹޑᜢᚶаϷፐ཰΢ޑᔅԆǴᡣך೭ٿԃޑғࢲк ჴЪඍזǶԜѦǴӭᖴᏢ׌ॺ ᐛֻ ǵඵഩǵӹЎǵဃণޑЍ࡭کᔅԆǴ ᡣך೭ٿԃޑࣴز܌ғࢲкᅈӣᏫǶ ੝ձགᖴךޑৎΓᆶζ϶׶ฑӧ؃ᏢၸำǴ๏ךനεޑЍ࡭Ϸᜢ ᚶǶനࡕǴ໻עԜፕЎޑᄪᝬ᝘๏ךޑР҆ᆶаϷيᜐ܌Ԗᜢᚶךޑܻ ϶ॺǶ

Ҟ

ᒵ

ᄔा (ύЎ)……….………...i ᄔा (मЎ)………...………ii ᇞᖴ………...………iii Ҟᒵ………...…iv კҞᒵ………..………vii ߄Ҟᒵ………..………xii

!

ಃ΋ക

………..….1 ᆣፕ………...1 1.1 ࣴز୏ᐒϷङඳ………1 1.2 ፕЎಔᙃ………3

ಃΒക

………..…….4 ౦፦ௗय़ᚈၩηႝ඲ᡏηᚇૻϩ݋………...4 2.1 Ꮴፕᚇૻϩ݋……….…….………..…7

2.2 ᚇૻᆶ T ୖኧϩ݋………..………...8 2.3 ่ፕ………...….………..12

ಃΟക

……….13 ೏୏ϡҹ……….……… ..………..…… ……. 13 3.1 ᙁϟ………..………13 3.2 ѳय़ႝག……… ……….…...13 3.2.1ʳʳʳʳʳʳʳʳʳႝགᙁϟ………...…13 3.2.2 ѳय़ႝགኳࠠ……. ……… ……… ……….……… …….….14 3.2.3 ѳय़ႝགࢎᄬ……. ……… ……… ……….……… …….….16 3.2.4 ႝགኳᔕ……. ……… ……… ……….……… …….….17 3.2.5 ໆෳ่݀ϩ݋ …… ……… ……… ……….……… …….….20 3.2.6 ฻ਏኳࠠ …… ……… ……… ……….……… …….….29 3.2.6 ႝག่ፕ …… ……… ……… ……….……… …….….30 3.3! !ᡂᓸᏔ………...…..31 3.3.1!!!ᡂᓸᏔᙁϟ……… ……….… ………31 3.3.2!!!ᡂᓸᏔࢎᄬ……… ……….… ………33 3.3.3!!!ኳᔕᆶໆෳ่݀ϩ݋………… ……….… ………36 3.3.4!!!ᡂᓸᏔ่ፕ……….… … ………44

ಃѤക

……….46

եᚇૻܫεᏔϩ݋(եᚇૻܫεᏔϣ೽ԖคӅ೫ϰଛϩ݋)...46 4.1 ᙁϟ!……….………46 4.2 եᚇૻܫεᏔࢎᄬᙁϟ…….…….………..……… ……….…….46 4.3 ႝၡ೛ीБݤ….…….…………..……….………..………...49 4.4 եᚇૻܫεᏔϣ೽Ӆ೫ϰଛϐࣴز…..………..…...……... .... ....55 4.5 ኳᔕ่݀ϩ݋………. …. ….………....58 4.6 ໆෳ่݀ϩ݋……….... ... ... ... ... ... ...61 4.7 եᚇૻܫεᏔ่ፕ………... ... ... ... ... ... ...64

ಃϖക

………...67 ่ፕ………...…….67

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ߕᒵ)΋*………...…….68 ߕᒵ)Β*………...…….76 ߕᒵ)Ο*………...…….77 ୖԵЎ᝘!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

კ Ҟ ᒵ

ಃΒക……….4 კ 2-1 ܫεᏔϐᚇૻኳࠠ …..………..………….…...4 კ 2-2 (a) λ ૻ ဦ ᚈ ၩ η ႝ ඲ ᡏ λ ૻ ဦ а Ϸ ᚇ ૻ ޑ ฻ ਏ ႝ ၡ (b) ฻ ਏ ᚇ ૻ ኳ ࠠ.……...……….…..……...……..9 კ 2-3 Q2p4x3x2 ޑ FminǴRnǴAssociated Gain…..………...…..……10 კ 2-4 S ୖኧ܌ளޑᚇૻࡰኧᆶჴሞໆෳКၨ………...………11 კ 2-5 S ୖኧ܌ளന٫ޑᒡΕᆄϸ৔߯ኧ………..………...….11 ಃΟക……….………..……13 კ 3-1 ѳय़ႝག………..….………….……..………...…15 კ 3-2 GaAs ႝག฻ਏኳࠠ…………...……….………….……….15 კ 3-3 IE3D ኳᔕ೬ᡏΠޑҢཀკ………..….…… ……….………..17 კ 3-4 ኳᔕࢎᄬ 2.ޑ S21 ᆶ S11………..………...….18

კ 3-5 ኳᔕࢎᄬ 2.ޑགॶ(Inductance)ᆶ Q ॶ(Quality Factor).…….………18

კ 3-6 ኳᔕࢎᄬ 7.ޑ S21 ᆶ S11….……….….………..19

კ 3-8 ࢎᄬ 2.ໆෳޑ S ୖኧ…….………..20

კ 3-9 ࢎᄬ 2.ໆෳޑགॶ(Inductance)ᆶ Q ॶ(Quality Factor)…..………..…21

კ 3-10 ࢎᄬ 7.ໆෳޑ S ୖኧ…….………..21

კ 3-11 ࢎᄬ 7.ໆෳޑགॶ(Inductance)ᆶ Q ॶ(Quality Factor)…..………..…22

კ 3-12 ࢎᄬ 2.ኳᔕᆶໆෳޑ S ୖኧ……….………..…23

კ 3-13 ࢎᄬ 2.ኳᔕᆶໆෳޑགॶ(Inductance)ᆶ Q ॶ(Quality Factor)……….23

კ 3-14 ࢎᄬ 7.ኳᔕᆶໆෳޑ S ୖኧ……….………..…24

კ 3-15 ࢎᄬ 7.ኳᔕᆶໆෳޑགॶ(Inductance)ᆶ Q ॶ(Quality Factor)……….24

კ 3-16 όӕ୮ኧႝགޑགॶКၨ………..……..…..26 კ 3-17 όӕ୮ኧႝགޑ Q ॶКၨ………..……….….. 26 კ 3-18 όӕቨࡋႝགޑགॶКၨ………. ……….…..27 კ 3-19 όӕቨࡋႝགޑ Q ॶКၨ………. ……….…..27 კ 3-20 όӕϣ೽य़ᑈႝགޑགॶКၨ………..……….…. 28 კ 3-21 όӕϣ೽य़ᑈႝགޑ Q ॶКၨ………..……….…. 28 კ 3-22 ໆෳᆶ฻ਏኳࠠޑ S ୖኧКၨ………..……….…. 29 კ 3-23 ႝག඲ТޑྣТ………..……….…. 30 კ 3-24 ᡂᓸᏔ(Transformer)ޑҢཀკ………..………...…. 31 კ 3-25 ໺಍୴᠄ᡂᓸᏔ………..……….…. 34 კ 3-26 ୴᠄ᡂᓸᏔ(Stack Transformer)………..……….…. 34 კ 3-27 ҬᒱᡂᓸᏔ(Interleave Transformer)..………. 35

კ 3-28 ჹᆀᡂᓸᏔ(Symmetric Transformer)……..……….….35 კ 3-29 ጠӝᡂᓸᏔ(Coupling Transformer)………. 36 კ 3-30 ࢎᄬ 1 ኳᔕᆶໆෳޑ໺ᒡ߯ኧ S21(Transmission Coefficient)….……….. 37 კ 3-31 ࢎᄬ 1 ኳᔕᆶໆෳጠӝ߯ኧ K (Coupling Factor*……….………….. 37 კ 3-32 ࢎᄬ 2 ኳᔕᆶໆෳޑ໺ᒡ߯ኧ S21(Transmission Coefficient)….……….. 38 კ 3-33 ࢎᄬ 2 ኳᔕᆶໆෳጠӝ߯ኧ K (Coupling Factor*……….….. 38 კ 3-34 ࢎᄬ 3 ኳᔕᆶໆෳޑ໺ᒡ߯ኧ S21(Transmission Coefficient)….……….. 39 კ 3-35 ࢎᄬ 3 ኳᔕᆶໆෳጠӝ߯ኧ K (Coupling Factor*……….. …39 კ 3-36 ࢎᄬ 4 ኳᔕᆶໆෳޑ໺ᒡ߯ኧ S21(Transmission Coefficient)….……….. 40 კ 3-37 ࢎᄬ 4 ኳᔕᆶໆෳጠӝ߯ኧ K (Coupling Factor*……….….. 40 კ 3-38 ࢎᄬ 5 ኳᔕᆶໆෳޑ໺ᒡ߯ኧ S21(Transmission Coefficient)….……….. 41 კ 3-39 ࢎᄬ 5 ኳᔕᆶໆෳጠӝ߯ኧ K (Coupling Factor*……….. 41 კ 3-40 ࢎᄬ 6 ኳᔕᆶໆෳޑ໺ᒡ߯ኧ S21(Transmission Coefficient)….……….. 42 კ 3-41 ࢎᄬ 6 ኳᔕᆶໆෳጠӝ߯ኧ K (Coupling Factor*……….. 42 კ 3-42 ࢎᄬ 7 ኳᔕᆶໆෳޑ໺ᒡ߯ኧ S21(Transmission Coefficient)….……….. 43 კ 3-43 ࢎᄬ 7 ኳᔕᆶໆෳጠӝ߯ኧ K (Coupling Factor*……….. 43 კ 3-44 ᡂᓸᏔ඲Тޑ diephoto.………..…….. 44 ಃѤക ……….…..……..……46

კ 4-1 RLC ՍᖄӅਁᆛၡኳࠠ……….…………..……47 კ 4-2 Ӆ৔ཱུႝགଏϯࢎᄬܫεᏔࢎᄬ……….…………..………48 კ 4-3 ฻ਏϐՍᖄӅਁᆛၡ………..………..49 კ 4-4 NPN InGap/GaAS HBT ෳ၂ᗖ……….………..…….50 კ 4-5 Q2p4x3x2 ޑ FminǴRnǴAssociated Gain……….………...…..51 კ 4-6 S2P file……….………….…….52 კ 4-7 ᠄ௗԄࢎᄬޑᛙۓ༝……….………...………53 კ 4-8 եᓎډ܌ᏹբޑᓎ౗ 5.2GHz ࣣࣁคచҹᛙۓȐK>1ǴB>0ȑ…………...54 კ 4-9 ቚ੻༝کᚇૻ༝………...………….………54 კ 4-10 ᏾ঁեᚇૻܫεᏔޑࢎᄬ….………..………...…...55 კ 4-11 ᠄ௗԄեᚇૻܫεᏔλૻဦϩ݋ႝၡ…..……….57 კ 4-12 ճҔ٠ᖄ΋ঁႝ৒ǴӧՍᖄ΋ঁႝགբϣ೽ϰଛ………….…….……….57 კ 4-13 Ԗϣ೽ϰଛޑեᚇૻܫεᏔ………..……….…..…..58 კ 4-14 ኳᔕф౗ቚ੻ȐS21ȑ………..………….……….59 კ 4-15 ኳᔕᚇૻࡰኧȐNFȑ………..….……... 59 კ 4-16 ኳᔕᒡΕϸ৔ཞ઻ȐS11ȑ………..….…….………60 კ 4-17 ኳᔕᒡрϸ৔ཞ઻ȐS22ȑ….……….………..………60 კ 4-18 ໆෳф౗ቚ੻ȐS21ȑ………..………….……….61 კ 4-19 ໆෳᚇૻࡰኧȐNFȑ………..….……... 62 კ 4-20 ໆෳᒡΕϸ৔ཞ઻ȐS11ȑ………..….…….………63

კ 4-21 ໆෳᒡрϸ৔ཞ઻ȐS22ȑ….……….………..………64 კ 4.22 եᚇૻܫεᏔޑ඲ТྣТ……….…...66

߄Ҟᒵ

߄ 3-1 ႝགࢎᄬୖԵ߄………...………...…16 ߄ 3-2 ᡂᓸᏔࢎᄬჹྣ߄……….……….…………...….45 ߄ 4-1 եᚇૻܫεᏔໆෳ่ፕ………..65

ಃ΋ക!ᆣፕ! !

ಃ΋ക!

ᆣፕ!

1.1 ࣴز୏ᐒϷङඳ!

߈ԃٰคጕ೯ૻࣽמޑזೲว৖Ǵх֖3Hǵ4HЋᐒǵCmvfuppuiǵคጕ ୔ୱᆛၡȐXjsfmftt!MBO!;XMBOȑ฻คጕ೛ഢޑදϷǴςుుӦቹៜךॺޑ ғࢲԋࣁВதғࢲύόёલϿޑྎ೯ᆶૻ৲໺ᒡπڀǶҗܭᑈᡏႝၡמೌǵ ኧՏ೯ૻᆶኧՏૻဦೀ౛Бݤ฻ޑߏى຾؁٬ள೯ૻ೛ഢޑфૈ׳ӭϡǴ٩ ᏵόӕޑӦ୔ᆶфૈޑሡ؃Ǵϩձว৖рόӕޑس಍ೕ਱ǴԶӚس಍ჹܭ໺ ᒡᓎࢤǵፓᡂБԄǵૻဦᓎቨᆶӭπኳԄޑा؃೿όᅰ࣬ӕǶ! ԜѦǴଯೲ໺ᒡೲ౗аගٮӭ൞ᡏޑ୍ܺǵ٠Ъሡե઻ႝа෧Ͽႝԣ ტڮςࢂ౜жՉ୏೯ૻ೛ഢӅӕޑᖿ༈Ƕ೭٤ཥޑ೯ߞس಍ೕ਱ӧ৔ᓎႝၡ ύा؃ଯ׳ޑ໺ᒡᓎ౗ǵ׳फ़եޑᏹբႝᓸᆶф౗੃઻ǵаϷႝၡޑଯ᏾ӝ

ಃ΋ക!ᆣፕ! ! ࡋς٬ள৔ᓎႝၡ೛ीόӕܭ໺಍೛ीԶкᅈࡷᏯ܄...྽ฅΨ൩кᅈΑᐒ ཮Ƕ!!! ൩౜ϞޑঁΓ೯ૻး࿼ԶقǴх֖ኧԭ࿤ीޑႝ඲ᡏǴځύ৔ᓎႝၡ ѝ՞Αཱུλޑ΋೽ҽǴฅԶ৔ᓎႝၡϝࢂ౜Ϟႝၡ೛ी΢ޑ΋ঁ౟ᓍǶځЬ ाচӢԖεౣԖΟᅿǶಃ΋Ǵҗܭ৔ᓎႝၡሡԵቾ೚ӭୖኧǴх֖Αᚇૻǵ ጕ܄ࡋǵф౗੃઻ǵߔלϰଛǵᏹբᓎ౗ǵޔႝᓸٮᔈǵߞဦਁ൯Ϸس಍ೕ ਱ϐ໔ޑᑽໆ)Usbef!Pgg*ǴӚᅿୖኧ࣬ϕӦቹៜ٬ள೛ी΢׳у֚ᜤǶԶ ЪલϿ΋ᆒዴޑЬ୏ک೏୏ႝၡኳࠠ٬ளᜤаྗዴ೛ीр܌Ⴃीႝၡޑਏ ૈǶಃΒǴ࣬ၨܭځѬޑᜪКႝၡǴ৔ᓎႝၡ೛ीᗋሡा೚ӭߚޔௗ࣬ᜢޑ ङඳǴٯӵ༾ݢႝၡ౛ፕǵႝᅶ౛ፕǵ೯ૻ౛ፕǵᜪКϷኧՏፓᡂמೌǴ৔ ᓎԏวᏔࢎᄬ฻Ǵ؂΋ᅿޕ᛽ޑࡌҥाԖ΋ۓޑਔ໔ٰ୻ᎦǴ٬ள΋ঁ৔ᓎ ႝၡ೛ीπำৣᜤаӧࡐอޑਔ໔ϣඓඝى୼ޑޕ᛽ٰ೛ीႝၡǶಃΟǴ৔ ᓎႝၡ೛ीԾ୏ϯޑႝတᇶշϩ݋Ϸӝԋ೬ᡏޑбϐᚅӵǴॐ٬ႝၡޑ೛ी ѝૈᏧ๱ӭԃ࿶ᡍکޔ᝺ٰႣෳႝၡޑਏૈǶ! җܭDNPTޑԋҁၨեЪԖཱུ٫ޑس಍᏾ӝૈΚǴ٬ҔDNPTᇙำמೌӧ ൂ΋඲Т΢ӕਔჴ౜৔ᓎ߻ᆄႝၡϷ୷ᓎႝၡςࢂനཥޑᖿ༈Ƕՠவ੝܄ᢀ ᗺٰ࣮Ǵઈϯㄿ)HbBt*!ޑႝηᎂ౽౗ࢂޖޑϖډΜ७Ǵ೭ཀښ๱HbBtϡન Ԗ׳ଯޑᄒЗᓎ౗ǵ׳ଯޑᙯᏤॶǴҔٰჴ౜৔ᓎ߻ᆄႝၡஒ੃઻ၨϿޑф ౗Ǵ܌аHbBtמೌߚத፾ӝଯೲႝၡϐᔈҔǶՠᒿ๱DNPTᇙำόࢤӦ຾؁ග ଯΑπբᄒЗᓎ౗Ǵ຾Զ΋؁΋؁ቶεᔈҔጄൎǴHbBtמೌѸሡගр׳ᐱ੝ ޑᔈҔǴց߾ஒԖ೏ڗжޑڮၮǶ!

ಃ΋ക!ᆣፕ! !

1.2 ፕЎಔᙃ

ҁፕЎϣ৒ϩϖঁക࿯Ƕಃ΋കࣁᆣፕǴᇥܴҞ߻คጕ୔ୱᆛၡޑว ৖ރݩᆶ኱ྗϷፕЎ่ᄬǶಃΒകஒ௖૸౦፦ௗय़ᚈၩηႝ඲ᡏᚇૻϩ݋Ƕ ಃΟകϟಏ೏୏ϡҹჴբϷኳࠠϐࡌҥхࡴΑႝགᆶᡂᓸᏔǶಃѤകϟಏե ᚇૻܫεᏔޑ೛ीᆶჴբǴΨКၨԖคϣ೽ϰଛჹեᚇૻܫεᏔޑቹៜǶ೸ ၸΑႝၡჴբǴว౜ϣ೽ϰଛёаεεׯ๓եᚇૻܫεᏔեᚇૻޑቚ੻ǶǶ ಃϖകբࣁ่ፕǴ૸ፕႝၡ೛ी่݀Ϸ҂ٰว৖ޑБӛǶ! !

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! !

ಃΒക!

౦፦ௗय़ᚈၩηႝ඲ᡏᚇૻϩ݋!

!!!

!

2.1

!!ᚇૻ੝܄!

!!!!!!!!!!!!!!

!

n

v

n

i

s

i

Y

_s

v

2 2

i

network port -two Noiseless ! ! კ 3.2!ܫεᏔϐᚇૻኳࠠ!

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! ! ൩ႝၡԶقǴ᏾ঁᒡрᆄޑᚇૻф౗҅Кܭѳ֡อၡႝࢬѳБȐ 2 sc i ȑǴ Զᚇૻࡰኧё߄ҢࣁǺ! 2 2 sc s i F i ! ځύǴ 2 s i ࣁᒡΕᆄϐᚇૻф౗Ƕ! Զisc   is in v Yn sǴӢԜ













2 2 2 2 2 sc s n n s s n n s s n n s i   i i v Y i  i v Y  i i v Y ! ЪᒡΕᆄᚇૻکᚈ୵ᆛၡᚇૻคᜢǴ܌аi i_s



_n v Y_{n s}



0Ƕ! ! ᏾౛ࡕǴ 2 2





2 sc s n n s i i  i v Y ǶжΕ 2 2 sc s i F i Ǵёள





2 2 1 n n s s i v Y F i   ǶௗΠ ٰǴӆٰ૸ፕځύޑinǴёஒϐϩࣁᆶvnԖᜢޑincکᆶvnคᜢޑinuٿঁ೽ ϩǶӵΠ܌ҢǺ! n nu nc i i i ! ! ԶךॺёаஒincҔԖᜢޑᏤયYcȐჴሞ΢٠όӸӧȑ߄ҢǴջǺ! ! ٿᜐϩձ४ * n v Ǻ! !!!!!!!!!!!!!!!!!!!!!!!!!!!i_n i_nc Y v_{c n}! * 2 * 2 n n c n n n c n v i Y v v i Y v ! ! ځύ * 0 n nc v i ǶӆжΕ





2 2 1 n n s s i v Y F i   ளǺ!









2 2 1 nu c s n s i Y Y v F i    ! ӧ΢Ԅύޑi Ǵs2 2 n v Ǵ 2 nc i ё߄ࣁǺ!

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! ! 2 0 2 0 2 0 4 4 4 s s n n nu u i kT G B v kT R B i kT G B ! ԶY_c G_c  jB_cǴY_s G_s  jB_s!! നࡕёளᚇૻࡰኧё߄ҢࣁǺ!



 



2 0 0 0 2 2 4 4 1 4 1 u s s c c n s u n s c s c s s kT G B G jB G jB kT R B F kT G B G R G G B B G G      ª º   _¬    _¼ ! ! ྽ᒧள፾྽ޑYsךॺёаளډനλޑᚇૻࡰኧǴҗΠय़ޑ௢Ꮴךॺёаளډ നλޑᚇૻࡰኧF_minǺ!







 



2 2 2 2 1 2 0 s c s c u n s c B B s s B B u s s c s c s s s G R F G G G G dF _{G G G G G G} dG G G      § _{  } ·  ¨ ¸ ¨ ¸ © ¹ ! ! ӢԜᒧۓ 2 u s c n G G G R  کB_s B_cਔǴջ 2 u

opt opt opt c c

n G Y G jB G jB R    ! ཮ԖനλޑᚇૻࡰኧF_minࣁǺ! !













2 min 2 2 2 1 1 2 1 2 s opt u n opt c Y Y opt opt c n

n opt opt opt c c

opt opt n opt c G R F F G G G G G R R G G G G G G G R G G    § ·  _¨¨  _¸¸   © ¹   ! ! жΕ 1 u n



 

2



2 s c s c s s G R F G G B B G G ª º   _¬    _¼Ǵ߾Ǻ! !

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! !















 



2 2 min 2 2 min 2 u n n c opt s c s opt s s n s opt s opt s G R F F R G G G G B B G G R F G G B B G ª º     _«    _» ¬ ¼ ª º  _«    _» ¬ ¼ !

ӢԜᚇૻࡰኧ،ۓܭY_opt G_opt  jB_optǴR_nکF_minǴଷ೛ճҔᚇૻໆෳளډ೭

ΟঁॶǴךॺߡёаޕၰӧҺՖY_sΠǴځ܌ჹᔈϐᚇૻࡰኧǶ! !

2.2

ᚇૻᆶ T ୖኧϩ݋!

! ΋૓ࣁΑ؃ޑႝ඲ᡏޑᚇૻୖኧǴхࡴനեޑᚇૻࡰኧ)Gnjo*Ǵ࣬ᜢቚ ੻)Bttpdjbufe!Hbjo*Ǵᚇૻႝߔ)So*ǴаϷന٫ޑᒡΕϸ৔߯ኧ)*_opt*Ǵ Ѹ໪೸ၸ Po.xbgfs ޑଯᓎᚇૻໆෳǴՠࢂ࣬྽຤ਔǴЪӢࣁሺᏔޑᒡΕᆄ ϸ৔߯ኧࣁԖज़Ǵคݤၲډ᏾ঁўஏථ༝)Tnjui!Dibsu*Ǵ܌а཮೷ԋӧໆ ෳ΢όྗዴǴЀځࢂӧեႝࢬޑጄൎ)tvc.nB!sbohf*ǴӢࣁႝ඲ᡏޑᒡΕߔ לߚதεȐջӧ Tnjui!Dibsu ޑѦൎȑǴԶໆෳሺᏔคݤѐϰଛډന٫ᒡΕ ᙯᏤYoptǴ܌аளډޑᚇૻୖኧ٠ߚന٫Ƕ! ҁ࿯ஒ೸ၸ T ୖኧѐౢғᚇૻୖኧхࡴനեޑᚇૻࡰኧ)Gnjo*Ǵ࣬ᜢቚ ੻)Bttpdjbufe!Hbjo*Ǵᚇૻႝߔ)So*ǴаϷന٫ޑᒡΕᆄϸ৔߯)*_opt*Ǵ όՠёаᗉխ Po.xbgfs ଯᓎᚇૻໆෳޑόྗዴ܄Ǵӕਔ࣪ਔǶ! !!!!२ӃǴӃ೸ၸ೸ၸᚇૻ࣬ᜢંତ)Opjtf!Dpssfmbujpo!Nbusjy*! 11 A C -C_A12-C_A21-C_A22ѐۓကᚇૻୖኧ)ୖԵЎ᝘ 2.4*!ǶԶᚇૻ࣬ᜢંତ ࢂ 2 n i - 2 n v аϷ܌ჹᔈคᚇૻޑ Z ୖኧϐڄኧǶ! !

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! ! 11 n _A R C !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)3/2*!

^

12

`

2

^

12

`

22 11 11 11 Im Im

opt opt opt

A A A A A A C C C Y G jB j C C C § ·   ¨ ¸  ¨ ¸ © ¹ !!!!!!!)3/3*!

^

`





min 1 2 Re _{A12 A11 OPT} F  C C G !!!!!!!!!!!!!!!!!!!!!!!)3/4*!





2 2 11 2 21 4 ₄ n c A E B v i C r r kT f' _{kT f Y'}   !!!!!!!!!!!!!!!!!!!)3/5*! 2 11 21 12 2 21 4 ₄ n n c A A v i Y i C C kT f _{kT f Y} ' _' < !!!!!!!!!!!!!!!!!!!!!!)3/6*! 2 2 2 11 22 2 21 4 ₄ 4 n c b A i Y i i C kT f' _{kT f Y'}  kT f' < !!!!!!!!!!!!!!!!!!!!!)3/7*! வკ 3.3!კҢΑᚈၩηႝ඲ᡏλૻဦаϷᚇૻޑ฻ਏႝၡǴځύi_b2-i_c2ࣁ ႝ඲ᡏϣ೽ޑ৔ᚇૻྍ)Tipu!Opjtf!Tpvsdf*ǶஒϦԄ)3/5*.)3/7*஥ΕϦԄ )3/2*.)3/4*ёளډϦԄ)3/8*.)3/:*ջё؃ளᚇૻୖኧǶ!





2 21 2 n C E B T I R r r V Y   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)3/8*!





^ `





^ `





2 2 2 21 11 11 11 2 2 2 21 21 21 Im Im 2 2 2 OPT B C C C T E B C T E B C T E B C I Y I Y I Y I Y Y j V Y r r I V Y r r I V Y r r I § ·  ¨ ¸   ¨ ¸   _©   _¹   )3/9*!

^ `







^ `



min 2 2 2 2 21 21 11 11 11 2 21 2 1 C Re 1 T E B B Im C C T V Y r r I Y I F Y Y Y I I V Y § _{ª º ª º} ·  ¨ _{« » « »} ¸  _¨     _¸ « » « » ¨ _{¬ ¼ ¬ ¼} ¸ © ¹ ! )3/:*!

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! ! be C V_be j m be g e ZTV

B

4kT f r' _E E r o r be r bci C 2 ₂ C C i q I 'f 2 2 B B i q I 'f B r 4kT f r' _B

E

C

! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)b*! be C V_be j m be g e ZTV

B

E r o r be r bci C B r 2 n

v

E

C

2 n i ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)c*! კ 3.3!)b*λૻဦᚈၩηႝ඲ᡏλૻဦаϷᚇૻޑ฻ਏႝၡǴځύi_B2-i_C2 ࣁႝ඲ᡏϣ೽ߚ࣬ᜢޑ৔ᚇૻྍ)Tipu!Opjtf!Tpvsdf*! !!!!!!)c*฻ਏᚇૻኳࠠǴځύv_n2-i_n2ࣁ࣬ᜢᚇૻྍǴکคᚇૻޑ Z ୖኧ୔ ༧Ƕ! !

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! ! კ3.4ࣁӧ࿶җ୯ࣽ཮୯ৎڼԯϡҹჴᡍ࠻ȐOEMȑޑϡҹᚇૻࡰኧໆ

ෳǴளډനեޑᚇૻࡰኧ)Gnjo*Ǵ࣬ᜢቚ੻)Bttpdjbufe!Hbjo*Ǵᚇૻႝߔ

)So*ǴаϷന٫ᒡΕϸ৔߯ኧ)*_opt*Ƕკ5.6ջࣁ!OQO!JoHbq0HbBT!ICUǴ

R3q5y4y3!)ջ؂ਥޑfnjuufs!Tj{f>3/5y4 mP -ӅٿਥFnjuufs*ޑᚇૻୖኧ ໆෳၗ਑ǴхࡴΑGnjoǴSoǴBttpdjbufe!HbjoǶ! 1 2 3 4 5 6 0 1 2 3 4 5 6 7 Frequency(GHz) Fm in (d B) , Rn (no rmal iz ed t o 5 0oh ms) Fmin Rn 0 10 20 30 GaAS HBT Emitter:2.4x3x2um2 V_CE=1.2V, I_C=1.276mA As so ci at ed Gai n (d B) Gain ! კ3.4!R3q5y4y3ޑGnjoǴSoǴBttpdjbufe!Hbjo! ! ஒR3q5y4y3܌ໆډޑTୖኧǴ஥ΕϦԄ)3/8*.!)3/9*Ǵёளޑᚇૻࡰኧхࡴ നեᚇૻࡰኧ)Gnjo*Ǵ࣬ᜢቚ੻)Bttpdjbufe!Hbjo*Ǵᚇૻႝߔ)So*ǴаϷ ന٫ޑᒡΕᆄϸ৔߯ኧ)*_opt*Ǵკ3.5ࣁҔTୖኧ܌ளޑᚇૻࡰኧᆶჴሞໆෳ КၨǶځύ 13 B R : Ǵ 1.2 E R : ࣁ೬ᡏѐGjuujohޑǶ! !

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! ! 1 2 3 4 5 6 0 1 2 3 4 5 6 7 Frequency(GHz) Fm in (d B) , Rn (no rmal iz ed t o 5 0oh ms) Fmin Fmin_sim Rn Rn_sim 0 5 10 15 20 25 30 GaAS HBT Emitter:2.4x3x2um2 V_CE=1.2V, I_C=1.276mA As so ci at ed Gai n (d B) Gain Gain_sim ! კ3.5!Tୖኧ܌ளޑᚇૻࡰኧᆶჴሞໆෳКၨ! ! ! კ3.6!Tୖኧ܌ளന٫ޑᒡΕᆄϸ৔߯ኧ)*_opt*ᆶჴሞໆෳКၨ! !!!!!!!आՅࣁໆෳǴᙔՅࣁTୖኧ܌ளന٫ᒡΕϸ৔߯ኧ)*_opt*!

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! !

2.3

่ፕ!

! ҁ࿯ஒ೸ၸ T ୖኧѐౢғᚇૻୖኧхࡴനեޑᚇૻࡰኧ)Gnjo*Ǵ࣬ᜢቚ ੻)Bttpdjbufe!Hbjo*Ǵᚇૻႝߔ)So*ǴаϷന٫ޑᒡΕᆄϸ৔߯)*_opt*Ǵ ೿ᆶჴሞໆෳௗ߈ǶᅟࡕǴѝሡ೸ၸ T ୖኧջёளډᚇૻୖኧǴ࣪ѐΑόᆒ ྗΞ຤ਔޑᚇૻୖኧໆෳǶ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !

ಃΟക!೏୏ϡҹ! !

ಃΟക!

೏୏ϡҹ!

!!!

3.1

!!ᙁϟ

! ೏୏ϡҹӧ৔ᓎႝၡύࢂόё܈લޑǶЀځႝགکᡂᓸᏔǶόӕܭႝ৒ ࢂճҔႝޑ׎ԄஒૈໆᓯӸଆٰǴႝགکᡂᓸᏔࢂճҔᅶޑ׎ԄஒૈໆᓯӸ ଆٰ܈ࢂᙯඤǶҁക೸ၸჴբٰ௖૸ႝགکᡂᓸᏔ!

3.2 ѳय़ႝག!

3.2.1

ႝགᙁϟ

ႝགӧ৔ᓎᑈᡏႝၡύǴёаբࣁႝၡߔלϰଛ܈MDӅਁᏔаϷ৔ᓎ ୃᓸႝၡȐSG!diplfȑǴᗨฅЬ୏ϡҹӝԋ฻ਏԋႝགǴՠࢂ཮Քᒿ๱εໆ ᚇૻǴаϷӭᎩޑф౗੃઻Ǵ܌аѳय़ႝགԖځόёڗжޑӦՏǶႝགନΑ ाԖᆒྗޑགॶ)JoevdubodfȑǴRॶ)Rvbmjuz!Gbdups*Ψߚதख़ाǶӢࣁࠔ ፦Ӣનόଯޑႝགஒ཮೷ԋႝၡᚐѦޑཞ઻ȐMpttȑǴ೷ԋ᏾ᡏႝၡ੝܄ό

ಃΟക!೏୏ϡҹ! ! ٫ǶҁԛᙖҗJF4E೬ᡏȐFNኳᔕޑ೬ᡏȑޑኳᔕǴаϷ೸ၸ୯ৎ඲Тس಍೛ ीύЈȐDJDȑගٮޑHDU!JoHbq0HbBT!ICUᇙำǴΠ೏୏ϡҹෳ၂ᗖ)Uftu! Lju*ٰ଺КၨǴᙖ๱ኳᔕኧᏵᆶໆෳޑኧᏵКၨаᕇளྗዴॶ୼ଯޑႝག٠ уа૸ፕǶ! ೛ीѳय़ႝགਔѸ໪ԵቾޑୢᚒӵΠǺ (1)!ႝགҁيޑႝߔǴ೭೽ϩЬाҗႝགޑߎឦጕߏࡋ܌،ۓǴߎឦጕཇ ߏǴ߾ႝߔཇεǴёа࣮ԋՍᖄ΋ѳय़ႝߔǴᓎ౗ቚଯਔǴ!җܭ໣ጥ ਏᔈ)Tljo!Fggfdu*೷ԋӧႝག଑ၡύޑႝࢬև౜ߚ֡ϬϩѲǴ٬ளԖ ਏޑՍᖄႝߔॶቚуǴёаቚуߎឦࠆࡋᆶቨࡋа෧Ͽߎឦཞ઻ R Ǵቚ у ႝ ག R ॶ Ƕ җ ܭ HDU ග ٮ ޑ JoHbq0HbBT! ICU ᇙ ำ Ƕ ѝ Ԗ ٿ ቫ ߎ ឦ ȐNfubmȑǴࣁΑᗉխ໣ጥਏᔈ)Tljo!Fggfdu*ஒٿቫߎឦӝӧ΋ଆǴቚ уߎឦࠆࡋǴӕਔҭёаගଯႝགRॶǶ! )3*!ጕຯλޑႝགځ໺ᒡጕ໔ޑϕགၨமǴڀԖၨεޑႝགॶǴ٬ளሡा࣬ ӕႝགॶޑᕴߏᕭอǴԶ෧Ͽߎឦཞ઻ R ǴቚуႝགRॶǶ! )4*!ૈໆཞ઻ёૈࢂҗܭӧ୷ᡏޑᅁ෮ႝࢬکε೽ҽӧႝགϣ୮ޑႝࢬ܌೷ ԋǴӧ୷ᡏޑᅁ෮ႝࢬஒᒿᓎ౗΢ϲԶቚεǴԶ٬ளཞѨуεǴᏤठႝ གޑRॶफ़եǴ೯தϣ৩໪ࣁ໺ᒡጕቨޑ6७Ǵёᗉխ΢ॊޑલᗺǶ! !

3.2.2

ѳय़ႝགኳࠠ

!კ4/2ࣁ΋૓தـޑѳय़ႝགǴځύXࣁጕቨǵHࣁጕຯǵϣ೽य़ᑈ JT)Joufs.Tqbdjoh*ǴǶკ4/3ࣁJoHbq0HbBT!ICU୷݈ޑႝག฻ਏኳࠠǴځύ Mࣁ܌ჹᔈޑႝགॶǴCoࣁߎឦቫ΋ᆶߎឦቫΒख़᠄ޑႝ৒ǵ R ࣁߎឦޑཞ ઻ႝߔǵC_subࣁ୷݈ޑႝ৒Ƕ!

ಃΟക!೏୏ϡҹ! !

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კ4/3!!HbBtႝག฻ਏኳࠠ!

ಃΟക!೏୏ϡҹ! !

3.2.3

ѳय़ႝགࢎᄬ

ႝགޑୖኧхࡴǺ୮ኧO)O!ufsot*ǴቨࡋX!)Xjeui*Ǵ໔႖H)Hbq*Ǵϣ ೽य़ᑈJT)Joufs.Tqbdjoh*Ǵҗܭႝགޑय़ᑈεǴคݤஒ܌Ԗޑୖኧ೿բ௖ ૸ǴӢԜஒ໔႖H)Hbq*Ԝ΋ୖኧڰۓǶჹቨࡋX)xjeui*Ǵ୮ኧO)O!ufsot*Ǵ ϣ೽य़ᑈJT)Joufs.Tqbdjoh*Ǵ଺ᡂϯаᕕှ೭٤ୖኧჹႝགޑቹៜǶ߄4.2 ࣁႝགࢎᄬୖԵ߄Ƕ

!

! ࢎᄬ )tdifnbujd*! ቨࡋ !!! X!! ໔႖!! H!!! ୮ኧ!! O! ϣ೽य़ᑈ JT!!! 2!! 6vn! 6vn! 21 2! 41vn+51vn!! 3! 6vn! 6vn! 41 2! 41vn+51vn!! 4! 6vn! 6vn! 61 2! 41vn+51vn!! 5! 21vn! 6vn! 21 2! 41vn+51vn!! 6! 8/6vn! 6vn! 21 2! 41vn+51vn!! 7! 6vn! 6vn! 41 2! 26vn+31vn!! 8! 6vn! 6vn! 41 2! 56vn+71vn!! 9! 6vn! 6vn! 21 2! 26vn+31vn!!

!

߄4.2!ႝགࢎᄬୖԵ߄!

ಃΟക!೏୏ϡҹ! !

3.2.4

ႝགኳᔕ

Ԝԛኳᔕ௦ҔJF4EǴࣁFNޑኳᔕ೬ᡏǴ!ኳᔕਔஒႝག΋ᆄௗӦǶ! ྽ԋpof!qpsuϡҹǴѐ࣮Sf\[jo^аϷJn\[jo^Ǵ຾Զ؃ޑႝགޑJoevdubodf аϷRॶǶځύJoevdubodfɨ Im[ ] 2 Zin Freq Su ǴԶRॶɨ Im[ ] Re[ ] Zin Zin Ƕკ4.4ࣁJF4Eኳᔕ ೬ᡏΠޑҢཀკ)ѓკࣁHsjeejohࡕޑკ׎ǴHsjeejohࣁύЈᆶѦൎКࣁ 4;2*Ǵკ4.5ࣁኳᔕࢎᄬ3ޑT32ᆶT22Ǵკ4.6ࣁኳᔕᄬ3ޑགॶ)Joevdubodf* ᆶRॶ)Rvbmjuz!Gbdups*Ǵკ4.7ࣁኳᔕࢎᄬ8ޑT32ᆶT22Ǵკ4.8ࣁኳᔕᄬ8 ޑགॶ)Joevdubodf*ᆶRॶ)Rvbmjuz!Gbdups*ǴځᎩႝགኳᔕፎୖԵߕᒵ )΋*!Ƕ! ! ! კ4.4ࣁJF4Eኳᔕ೬ᡏΠޑҢཀკ)ѓკࣁ!Hsjeejoh!ࡕޑҢཀკ*! ! ! !

ಃΟക!೏୏ϡҹ! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 S11( dB) S 21( dB) Frequency(GHz) sim_S21 -40 -35 -30 -25 -20 -15 -10 -5 0 sim_S11 ! კ4.5!ኳᔕࢎᄬ3/ޑT32ᆶT22! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 5 10 15 20 Q Fa ctor In du ct an ce (nH ) Frequency(GHz) sim_Inductance 0 5 10 15 20 sim_Q ! კ4.6!ኳᔕࢎᄬ3/ޑགॶ)Joevdubodf*ᆶRॶ)Rvbmjuz!Gbdups*!

ಃΟക!೏୏ϡҹ! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -15 -10 -5 0 S11( dB) S21( dB) Frequency(GHz) sim_S21 -40 -35 -30 -25 -20 -15 -10 -5 0 sim_S11 კ4.7!ኳᔕࢎᄬ8/ޑT32ᆶT22! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -30 -20 -10 0 10 20 30 Q F a c tor In d u c tan ce (n H) Frequency(GHz) sim_Inductance -15 -10 -5 0 5 10 15 sim_Q ! კ4.8!ኳᔕࢎᄬ8/ޑགॶ)Joevdubodf*ᆶRॶ)Rvbmjuz!Gbdups*!

ಃΟക!೏୏ϡҹ! !

3.2.5

ໆෳ่݀ϩ݋!

೸ၸ୯ৎ඲Тس಍೛ीύЈȐDJDȑගٮଯᓎTୖኧᆛၡϩ݋ሺIQ9621Ǵ! ໆෳᓎ౗வ1/2HI{ډ26/2HI{Ǵᓎ౗໔႖ࣁ1/2HI{Ƕஒ܌ளޑTୖኧᙯඤࣁ[ ୖኧǴӆஒځύ΋ᆄௗӦǴ྽ԋpof!qpsuϡҹǶ຾Զ؃ޑႝགޑགॶᆶR ॶǶკ4.9ࣁࢎᄬ3ໆෳޑTୖኧǴკ4.:ࣁࢎᄬ3ໆෳޑགॶ)Joevdubodf*ᆶR ॶ)Rvbmjuz!Gbdups*Ǵკ4.21ࣁࢎᄬ8ໆෳޑTୖኧǴკ4.22ࣁࢎᄬ8ໆෳޑ གॶ)Joevdubodf*ᆶRॶ)Rvbmjuz!Gbdups*ǴځᎩႝགໆෳፎୖԵߕᒵ)΋*! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 S11( dB) S 21( dB) Frequency(GHz) mea_S21 -40 -35 -30 -25 -20 -15 -10 -5 0 mea_S11 ! კ4.9!!ࢎᄬ3/ໆෳޑTୖኧ! ! !

ಃΟക!೏୏ϡҹ! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 5 10 15 20 Q Fa ctor In d u c tan ce (n H) Frequency(GHz) mea_Inductance 0 5 10 15 20 mea_Q ! კ4.:!ࢎᄬ3/ໆෳޑགॶ)Joevdubodf*ᆶRॶ)Rvbmjuz!Gbdups*! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -15 -10 -5 0 S11( dB) S 21( dB) Frequency(GHz) mea_S21 -40 -35 -30 -25 -20 -15 -10 -5 0 mea_S11 ! კ4.21!ࣁࢎᄬ8/ໆෳޑTୖኧ!

ಃΟക!೏୏ϡҹ! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -30 -20 -10 0 10 20 30 Q F a c tor In d u c tan ce (n H) Frequency(GHz) mea_Inductance -15 -10 -5 0 5 10 15 mea_Q ! კ4.22!ࢎᄬ8/ໆෳޑགॶ)Joevdubodf*ᆶRॶ)Rvbmjuz!Gbdups*! ! ௗΠٰǴࣁኳᔕᆶໆෳޑКၨǶკ4.23ࣁࢎᄬ3ኳᔕᆶໆෳޑTୖ ኧǴკ4.24ࣁࢎᄬ3ኳᔕᆶໆෳޑགॶ)Joevdubodf*ᆶRॶ)Rvbmjuz! Gbdups*!Ǵკ4.25ࣁࢎᄬ8ኳᔕᆶໆෳޑTୖኧǴკ4.26ࣁࢎᄬ8ኳᔕᆶໆෳ ޑགॶ)Joevdubodf*ᆶRॶ)Rvbmjuz!Gbdups*!ǴځᎩႝགኳᔕᆶໆෳፎୖԵ ߕᒵ)΋*Ƕவኳᔕᆶໆෳёа࣮ډӧTୖኧБय़Ǵߚதௗ߈Ƕ! ! ! ! ! ! !

ಃΟക!೏୏ϡҹ! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 S11( dB) S21( dB) Frequency(GHz) mea_S21 sim_S21 -40 -35 -30 -25 -20 -15 -10 -5 0 mea_S11 sim_S11 ! კ4.23!ࢎᄬ3ኳᔕᆶໆෳޑTୖኧ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 5 10 15 20 Q F a c to r In d u c tan ce (n H) Frequency(GHz) mea_Inductance sim_Inductance 0 5 10 15 20 mea_Q sim_Q ! კ4.24!ࢎᄬ3ኳᔕᆶໆෳޑགॶ)Joevdubodf*ᆶRॶ)Rvbmjuz!Gbdups*!

ಃΟക!೏୏ϡҹ! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -15 -10 -5 0 S11( dB) S21( dB) Frequency(GHz) mea_S21 sim_S21 -40 -35 -30 -25 -20 -15 -10 -5 0 mea_S11 sim_S11 ! კ4.25!ࢎᄬ8ኳᔕᆶໆෳޑTୖኧ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -30 -20 -10 0 10 20 30 Q F a c tor In d u c tan ce (n H) Frequency(GHz) mea_Inductance sim_Inductance -15 -10 -5 0 5 10 15 mea_Q sim_Q ! კ4.26!ࢎᄬ8ኳᔕᆶໆෳޑགॶ)Joevdubodf*ᆶRॶ)Rvbmjuz!Gbdups*!

ಃΟക!೏୏ϡҹ! ! ௗΠٰǴךॺஒКၨႝགୖኧޑགॶхࡴӃ߻܌ගޑቨࡋǴ໔႖Ǵ୮ ኧǴϣ೽य़ᑈჹႝགޑགॶϷRॶჹႝགޑቹៜǶ! ! )2*!ӧ࣬ӕޑቨࡋǴ໔႖Ǵϣ೽य़ᑈΠǴόӕ୮ኧޑႝགȐӵ߄4.2ύޑ ࢎᄬ2Ǵࢎᄬ3Ǵࢎᄬ4ȑКၨΟޣޑགॶаRॶޑޑКၨǴӵკ4. 27Ǵკ4.28Ƕว౜୮ኧຫӭޑႝགᗨฅගٮΑଯགॶǴՠӢࣁߎឦ ᆶߎឦ໔ޑጠӝႝ৒ቚуǴ೷ԋԾਁᓎ౗फ़եǴ܌аёҔޑጄൎ཮ ڙज़ڋǶӕਔ୮ኧຫӭΨගଯΑߎឦޑཞ઻ႝߔǴߎឦཞ઻ႝߔ΢ ϲೲࡋั༾εܭགॶޑගϲǶӢԜRॶޑଯঢ়ॶΨั༾Πफ़Ƕ! )3*!ӧ࣬ӕޑ໔႖Ǵ୮ኧǴϣ೽य़ᑈΠǴόӕቨࡋޑႝགȐӵ߄4.2ύޑ ࢎᄬ2Ǵࢎᄬ5Ǵࢎᄬ6ȑКၨΟޣޑགॶаRॶޑޑКၨǶӵკ4. 29Ǵკ4.2:Ƕёа࣮ډጕቨຫቨǴߎឦޑཞ઻ႝߔ཮ຫλǴჹགॶ ٠ؒԖϼεޑቹៜǴՠࢂගٮၨӳޑRॶǴόၸ࣬ჹӦǴႝགޑय़ᑈ Ψ཮ቚуǶ܌аѸ໪ӧӧٿޣϐ໔բڗ௭Ƕ! )4*!ӧ࣬ӕޑ໔႖Ǵ୮ኧǴቨࡋΠǴόӕϣ೽य़ᑈޑႝགȐӵ߄4.2ύޑ ࢎᄬ3Ǵࢎᄬ7Ǵࢎᄬ8ȑКၨΟޣޑགॶаRॶޑޑКၨǶӵკ4. 31Ǵკ4.32Ƕёа࣮рϣ೽य़ᑈຫεǶ߾གॶ཮΢ϲǶRॶޑଯঢ়Ψ ཮༾༾΢ϲǶ! !

ಃΟക!೏୏ϡҹ! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 2 4 6 8 10 12 14 16 18 20 In du ctance(n H) Frequency(GHz) Schematic 1 Schematic 2 Schematic 3 კ 4.27!!όӕ୮ኧႝགޑགॶКၨ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 5 10 15 Q F a c tor Frequency(GHz) Schematic 1 Schematic 2 Schematic 3 კ 4.28!!όӕ୮ኧႝགޑ R ॶКၨ

ಃΟക!೏୏ϡҹ! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0.4 0.5 0.6 0.7 0.8 0.9 1.0 In d u ctan ce(n H ) Frequency(GHz) Schematic 1 Schematic 4 Schematic 5 კ 4.29!!όӕቨࡋႝགޑགॶКၨ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 5 10 15 20 Q F acto r Frequency(GHz) Schematic 1 Schematic 4 Schematic 5 კ 4.2:!!όӕቨࡋႝགޑ R ॶКၨ

ಃΟക!೏୏ϡҹ! ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 2 4 6 8 10 12 14 16 18 20 In d u ctan ce(n H ) Frequency(GHz) Schematic 2 Schematic 6 Schematic 7 კ 4.31!!όӕϣ೽य़ᑈႝགޑགॶКၨ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 5 10 15 Q F acto r Frequency(GHz) Schematic 2 Schematic 6 Schematic 7 კ 4.32!!όӕϣ೽य़ᑈႝགޑ R ॶКၨ

ಃΟക!೏୏ϡҹ! !

3.2.6

!฻ਏኳࠠ!

ճҔ4/3/3ගډޑHbBtႝག฻ਏኳࠠǶӃճҔໆෳ܌ளႝགॶ஥Εஒ฻ ਏႝགኳࠠႝགॶMǴځᎩୖኧճҔBETኳᔕ೬ᡏჹໆෳTୖኧѐբGjuujohள ډ࣬ჹޑႝག฻ਏኳࠠǶаࢎᄬ3ࣁٯǴ܌๧ڗрٰޑM>3oIǴS>6/154: Ǵ o C >27/1:3gGǴC_sub1>36gGǴ!C_sub2>49/145gGǶკ4.33ࣁໆෳᆶኳࠠޑTୖ ኧКၨǶӧT22೽ϩ࣬྽ௗ߈ǶT33೽ϩӧեᓎਔǴৡ౦όεǴଯᓎਔ߾Ԗ2 ɴ3eCѰѓޑৡຯǶځᎩႝག฻ਏኳࠠፎୖԵߕᒵ)Β*! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -30 -25 -20 -15 -10 -5 0 S 21( dB) S11 (dB) Frequency(GHz) model_S11 mea_S11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 model_S21 mea_S21 ! კ4.33!ໆෳᆶ฻ਏኳࠠޑTୖኧКၨ! ! ! ! !

ಃΟക!೏୏ϡҹ! !

3.2.7

ႝག่ፕ!

૸ፕΑόӕୖኧჹႝགགॶϷ̍ॶޑቹៜǶԖᔅշ҂ٰޑჹႝག೛ी ᆶࡷᒧǶკ 4.34 ࣁ೭ԛႝག඲ТޑྣТǶ! ! ! ! ! ! !!!!!!!!!!!!!!!!!!!!კ4.34!ႝག඲ТޑྣТ! ! ! ! ! ࢎᄬ2! ࢎᄬ3 ࢎᄬ4 ࢎᄬ5 ࢎᄬ6 ࢎᄬ7 ࢎᄬ8 ࢎᄬ9 Pqfo!Qbe Tipsu!Qbe

ಃΟക!೏୏ϡҹ! !

3.3 ᡂᓸᏔ!

3.3.1

ᡂᓸᏔᙁϟ!

!!კ 4.35 ࣁᡂᓸᏔ)Usbotgpsnfs*ޑҢཀკǴጕ୮ 2)Dpjm!2*ޑ႔ኧࣁ 1 N Ǵጕ୮ 3)Dpjm!3*ޑጕ୮႔ኧࣁN₂Ǵጕ୮ 2 ӢႝࢬI₁܌ౢғޑᅶ೯ໆࣁ 11 I Ǵጕ୮ 3 ӢႝࢬI₂܌ౢғޑᅶ೯ໆࣁI₂₂Ǵ!! 1

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L2!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Ȑ4/3ȑ ځύǴጕ୮2ౢғޑᅶ೯ໆ࿶ၸጕ୮3ࣁI₂₁Ǵጕ୮3ౢғޑᅶ೯ໆ࿶ၸጕ ୮ጕ୮2ࣁI12ǴԶ

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L1ࣁጕ୮2ޑᅅᅶ೯ໆ)mfblbhf!gmvy*Ǵ

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L2ࣁጕ୮3ᅅ ᅶ೯ໆ)mfblbhf!gmvy*ǶԶጕ୮2ޑᅶ೯ໆ

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1ࣁႝࢬI₁аϷႝࢬI₂܌ౢғᅶ ೯ໆЪ࿶ၸጕ୮2ࣁ!

ಃΟക!೏୏ϡҹ! ! 1 11 12

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Ȑ4/4ȑ!!!!!! Զጕ୮2ޑᕴᅶ೯ໆ

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1ࣁጕ୮2ޑ႔ኧN₁४΢ጕ୮2ޑᅶ೯ໆ

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1ӵΠǺ! 1

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Ȑ4/5ȑ!!!!!!!!!! ӕ౛፾Ҕܭጕ୮3ǶԶጕ୮2ӢႝࢬI₁܌ౢғޑᅶ೯ໆࣁI₁₁Ǵ܌аI₁₁ԋ҅К ܭႝࢬI₁! !!!!

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1 1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Ȑ4/6ȑ!!!!!!!!! ځύL₁ࣁႝࢬI₁ޑ҅КதኧǴΨ൩ࢂጕ୮2ޑԾག)Tfmg.Joevdubodf*ǶԶጕ ୮2ӢႝࢬI2܌ౢғޑᅶ೯ໆࣁI12Ǵԋ҅КܭI2! 1 12 12 2

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Ȑ4/7ȑ!!!!!!! ځύM₁₂ࣁႝࢬI₂ޑ҅КதኧΨ൩ࢂጕ୮2ޑϕག)nvuvbm.Joevdubodf*Ƕ! ځύ҅ॄဦࢂႝࢬI1ᆶႝࢬI2Бӛ܄ޑୢᚒԶςǴӕӛࣁ҅ဦǴϸӛࣁॄ ဦǶӕ౛፾Ҕܭጕ୮3ǴԶനࡕёளϕགM12 M21 M !)ୖԵЎ᝘5*!Ƕጠ ӝ߯ኧ K )Dpvqmjoh!Gbdups! K *ࢂղᘐᡂᓸᏔޑጕ୮܌ౢғޑᅶ೯ໆࢂԖ ࿶ၸќ΋ጕ୮ޑख़ाୖኧǶ! ! 21 12 21 12 1 2 1 2 11 22 M M M K L L L L I I I I !!!!!!!!!!!!!!!!!!!!!!!!!Ȑ4/8ȑ! 0d K d1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Ȑ4/9ȑ!!!!!!! 1 2 0dM d L L !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Ȑ4/:ȑ!! җԄȐ4/8ȑനѓᜐޑ฻ԄǴསҢ๱җጕ୮2ӢႝࢬI₁܌ౢғޑᅶ೯ໆࣁ 11 I ǴԖϿКٯ཮࿶ၸጕ୮3ԋࣁ

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21Ƕ྽K ջጕ୮2Ӣႝࢬ1 I₁܌ౢғޑᅶ೯ ໆ֡཮࿶ၸጕ୮3ջI11 I21ǶԄ)4/9ȑϷԄ)4/:ȑࣁጠӝ߯ኧ K ᆶϕགM ޑ΢Πज़Ƕ! !

ಃΟക!೏୏ϡҹ! ! ӧ৔ᓎᑈᡏႝၡύǴᡂᓸᏔ)Usbotgpsnfs*ޑфૈǴӵΠӈ܌ॊǺ!! )2*!ճҔᡂᓸᏔ)Usbotgpsnfs*ٰჴ౜եႝᓸᏹբࢎᄬǴӵӧ᠄ௗԄޑեᚇ ૻܫεᏔύӧӅ৔ཱུᆶӅ୷ཱུϐ໔уΕ΋ঁᡂᓸᏔǴٮ๏ႝᓸёаவ 3WpoᡂԋΑ2Wpoၲډեႝᓸᏹբޑࢎᄬ)ୖԵЎ᝘6ȑǶ!! )3*!ᡂᓸᏔΨҭё଺ф౗่ӝ)Qpxfs!Dpncjojoh*ǴӵӧDNPTύޑф౗ܫε ᏔǴคݤౢғ୼εޑᒡрф౗Ǵёаᙖ๱ᡂᓸᏔஒӭঁф౗ܫεᏔޑᒡ рф౗բ่ӝၲԋ୼ଯޑᒡрф౗)ୖԵЎ᝘7ȑǶ! )4*!৔ᓎБय़Ǵߔלϰଛ)Jnqfebodf!Nbudijohȑቹៜ๱ቚ੻)Hbjo*аϷф ౗)QpxfsȑǴճҔᡂᓸᏔٰ଺ߔלᙯඤ)Jnqfebodf!usbotgpsnbujpoȑ ֹٰԋߔלϰଛ)Jnqfebodf!Nbudijoh*ǴԖਏӦஒനεޑቚ੻܈ф౗໺ ଌрѐǶ! )5*!җܭ᏾ঁس಍ࢂҗӚঁ୔༧େԋޑǴ܌аӧൂᆄ)tjohmf*کৡ୏ )ejggfsfoujbm*ϐ໔ሡा଺ᙯඤǴ೭ਔ൩ሡाҔډcbmvo)cbmbodf!up! vocbmbodf*ǴԶѦௗޑcbmvoόՠሡाᚐѦޑԋҁǴёаҗٿঁᡂᓸᏔ ಔԋCbmvo)Cbmbodf!up!Vocbmbodf*ֹٰԋǶ!

3.3.2

ᡂᓸᏔࢎᄬ!

җܭHDUගٮޑJoHbq0HbBT!ICUᇙำǶѝԖٿቫߎឦȐNfubmȑჹܭज़ڋ ΑᡂᓸᏔޑጕ୮ᙅݤǴ܌аӧѝԖٿቫߎឦޑమݩΠ଺рΑѤᅿᡂᓸᏔǶǴ ϩձࣁ୴᠄ᡂᓸᏔ)Tubdl!Usbotgpsnfs*ǴҬᒱᡂᓸᏔ)Joufsmfbwf!! Usbotgpsnfs*ǴჹᆀᡂᓸᏔ)Tznnfusjd!Usbotgpsnfs*ǴаϷጠӝᡂᓸᏔ )Dpvqmjoh!Usbotgpsnfs*ǶϩձӵΠǺ! )2*!୴᠄ᡂᓸᏔ)Tubdl!Usbotgpsnfs*Ǻ໺಍୴᠄ᡂᓸᏔࢂᔈ၀җٿঁႝག ϕ࣬୴᠄ӵკ 3-25 ՠࢂѸ໪ԿϿ٬ҔΟቫߎឦǶՠࢂӢࣁ JoHbq0HbBT!

ಃΟക!೏୏ϡҹ! ! ICU ᇙำѝԖٿቫߎឦǴ܌аӃஒٿႝགբҬᒱǴӧ଺୴᠄ӵკ 3-26 ܌ ҢǶ ! !!!!! !!კ3-25 ໺಍୴᠄ᡂᓸᏔȐԿϿ٬ҔΟቫߎឦȑ! ! ! !!!!!!!!!!!!!კ3-26 ୴᠄ᡂᓸᏔ)Tubdl!Usbotgpsnfs*! !

ಃΟക!೏୏ϡҹ! ! )3*!ҬᒱᡂᓸᏔ)Joufsmfbwf!!Usbotgpsnfs*ǺஒٿႝགբҬᒱǴԶЪעٿ ቫߎឦکӧ΋ଆቚуߎឦࠆࡋǴᗉխ໣ጥਏᔈ)Tljo!Fggfdu*ǴቚуR ॶǶӵკ4.38!܌Ң! ! კ4.38!ҬᒱᡂᓸᏔ)Joufsmfbwf!!Usbotgpsnfs*! ! )4*!ჹᆀᡂᓸᏔ)Tznnfusjd!Usbotgpsnfs*Ǻऩஒdfoufs.usbqqfeௗӦǴځ ύ΋ᆄௗӦǴ߾ёаԋࣁcbmvoǴځᙅݤӵკ4.39܌Ң! ! კ4.39!ჹᆀᡂᓸᏔ)Tznnfusjd!Usbotgpsnfs*!

ಃΟക!೏୏ϡҹ! ! )4*!ጠӝᡂᓸᏔ)Dpvqmjoh!Usbotgpsnfs*ǺҗܭICUᇙำѝૈճҔٿቫߎឦ ٰᙅጕ)ୖԵЎ᝘8ȑǴ܌аा೛ीԋ୴ጸԄޑጠӝႝག࣬྽όܰǴӢԜךॺ ճҔ੝ਸޑᙅጕБݤǴٰၲԋѝճҔٿቫߎឦǴ൩ё೛ी΋୴᠄ጠӝႝགϐ ႝၡӵკ4.3:Ƕ! ! !!!!!!!!!!!!!!!Ȑbȑ!!!!!!!!!!!!!!!!!!!!!!!!!!!Ȑcȑ!!! !!!!!!!!!!!!კ4.3:!!ጠӝᡂᓸᏔ)Dpvqmjoh!Usbotgpsnfs*! !!!!!!!!!!!!!!!!!!!Ȑbȑߎឦቫ΋ǶȐcȑߎឦቫΒǶ !

3.3.3

!ኳᔕᆶໆෳϩ݋!

Ԝԛኳᔕ௦ҔJF4EǴࣁFNޑኳᔕ೬ᡏǴ!ኳᔕਔஒᡂᓸᏔຎࣁٿ୵ϡ ҹǴኳᔕ่݀ஒԖ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*аϷጠӝ߯ኧ LǴໆෳ೸ၸ୯ࣽ཮୯ৎڼԯϡҹჴᡍ࠻ȐOEMȑගٮޑଯᓎTୖኧᆛၡϩ݋ ሺǶஒTୖኧᙯࣁ[ୖኧǴ 1 2 M K L L ! 1 L ᆶL₂ࣁϩձࣁIm Z

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ಃΟക!೏୏ϡҹ! ! ࢎᄬ2/!୴᠄ᡂᓸᏔ)Tubdl!Usbotgpsnfs*Ǵ؂ቫ୮ኧࣁ6Ƕკ4.41ࣁኳᔕᆶ ໆෳޑ໺ᒡ߯ኧT32Ǵკ4.42ࣁኳᔕᆶໆෳጠӝ߯ኧLǶ! 0.0 0.5 1.0 1.5 2.0 2.5 3.0 -25 -20 -15 -10 -5 0 Frequency(GHz) Tr ansm ission C o ef fi cient S21(dB) Simulation Measurement ! კ4.41ࢎᄬ2ኳᔕᆶໆෳޑ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*! 0.0 0.5 1.0 1.5 2.0 2.5 3.0 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Frequency(GHz) K ( C ou plin g F a c tor ) Measurement Simulation ! კ4.42!ࢎᄬ2ኳᔕᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ಃΟക!೏୏ϡҹ! ! ࢎᄬ3/!୴᠄ᡂᓸᏔ)Tubdl!Usbotgpsnfs*Ǵ؂ቫ୮ኧࣁ5Ƕკ4.43ࣁኳᔕᆶ ໆෳޑ໺ᒡ߯ኧT32Ǵკ4.44ࣁኳᔕᆶໆෳጠӝ߯ኧLǶ! 0 1 2 3 4 5 6 -25 -20 -15 -10 -5 0 Frequency(GHz) T ra n sm is si o n Co e ff ici en t S2 1( d B ) Simulation Measurement ! კ4.43!ࢎᄬ3ኳᔕᆶໆෳޑ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*! 0 1 2 3 4 5 6 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Frequency(GHz) K ( C ou plin g F a c tor ) Measurement Simulation ! კ4.44!ࢎᄬ3ኳᔕᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ಃΟക!೏୏ϡҹ! ! ࢎᄬ4/!୴᠄ᡂᓸᏔ)Tubdl!Usbotgpsnfs*Ǵ؂ቫ୮ኧࣁ5Ƕკ4.45ࣁኳᔕᆶ ໆෳޑ໺ᒡ߯ኧT32Ǵკ4.46ࣁኳᔕᆶໆෳጠӝ߯ኧLǶ! 0 1 2 3 4 5 6 7 8 9 -30 -25 -20 -15 -10 -5 0 Frequency(GHz) T ra n sm is si o n Co e ff ici en t S2 1( d B ) Simulation Measurement ! კ4.45!ࢎᄬ4ኳᔕᆶໆෳޑ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*! 0 1 2 3 4 5 6 7 8 9 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Frequency(GHz) K ( C ou plin g F a c tor ) Simulation Measurement ! კ4.46!ࢎᄬ4ኳᔕᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ಃΟക!೏୏ϡҹ! ! ࢎᄬ5/!ጠӝᡂᓸᏔ)Dpvqmjoh!Usbotgpsnfs*Ǵ؂ቫ୮ኧࣁ4Ƕკ4.47ࣁኳᔕ ᆶໆෳޑ໺ᒡ߯ኧT32Ǵკ4.48ࣁኳᔕᆶໆෳጠӝ߯ኧLǶ! 0 1 2 3 4 5 6 7 8 9 10 -40 -35 -30 -25 -20 -15 -10 -5 0 Frequency(GHz) T ra n sm is si o n Co e ff ici en t S2 1( d B ) Simulation Measurement ! კ4.47!ࢎᄬ5ኳᔕᆶໆෳޑ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*! 0 1 2 3 4 5 6 7 8 9 10 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Frequency(GHz) K ( C ou plin g F a c tor ) Simulation Measurement ! კ4.48!ࢎᄬ5ኳᔕᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ಃΟക!೏୏ϡҹ! ! ࢎᄬ6/!ጠӝᡂᓸᏔ)Dpvqmjoh!Usbotgpsnfs*Ǵ؂ቫ୮ኧࣁ5Ƕკ4.49ࣁኳᔕ ᆶໆෳޑ໺ᒡ߯ኧT32Ǵკ4.4:ࣁኳᔕᆶໆෳጠӝ߯ኧLǶ! 0 1 2 3 4 5 -30 -25 -20 -15 -10 -5 0 Frequency(GHz) T ra n sm is si o n Co e ff ici en t S2 1( d B ) Simulation Measurement ! კ4.49!ࢎᄬ6ኳᔕᆶໆෳޑ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*! 0 5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Frequency(GHz) K ( C ou plin g F a c tor ) Simulation Measurement ! კ4.4:!ࢎᄬ6ኳᔕᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ಃΟക!೏୏ϡҹ! ! ࢎᄬ7/!ҬᒱᡂᓸᏔ)Joufsmfbwf!!Usbotgpsnfs*Ǵ؂ቫ୮ኧࣁ4Ƕკ4.51ࣁ ኳᔕᆶໆෳޑ໺ᒡ߯ኧT32Ǵკ4.52ࣁኳᔕᆶໆෳጠӝ߯ኧLǶ! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 -60 -55 -50 -45 -40 -35 -30 -25 -20 -15 -10 -5 0 Frequency(GHz) T ra n sm is si o n Co e ff ici en t S2 1( d B ) Simulation Measurement კ4.51!ࢎᄬ7ኳᔕᆶໆෳޑ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*! 0 1 2 3 4 5 6 7 8 9 10 11 12 13 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 Frequency(GHz) K ( C ou pl in g F acto r) Simulation Measurement ! კ4.52!ࢎᄬ7ኳᔕᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ಃΟക!೏୏ϡҹ! ! ࢎᄬ8/!ჹᆀᡂᓸᏔ)Tznnfusjd!Usbotgpsnfs*Ǵ؂ቫ୮ኧࣁ4Ƕკ4.53ࣁኳ ᔕᆶໆෳޑ໺ᒡ߯ኧT32Ǵკ4.54ࣁኳᔕᆶໆෳጠӝ߯ኧLǶ! 0 1 2 3 4 5 6 7 8 9 10 -40 -35 -30 -25 -20 -15 -10 -5 0 Frequency(GHz) T ra n sm is si o n Co e ff ici en t S2 1( d B ) Simulation Measurement ! კ4.53!ࢎᄬ8ኳᔕᆶໆෳޑ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*! 0 1 2 3 4 5 6 7 8 9 10 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 Frequency(GHz) K ( C ou plin g F a c tor ) Simulation Measurement ! კ4.54!ࢎᄬ8ኳᔕᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ಃΟക!೏୏ϡҹ! !

3.3.4

ᡂᓸᏔ่ፕ!

ჴ౜ΑѤᅿόӕᙅݤޑᡂᓸᏔǶࢎᄬ2Ϸ3ǴᗨԖࡐଯޑጠӝ߯ኧՠࢂё Ҕޑᓎ౗ࠅࡐઞǴӢࣁ୮ኧϼӭ೷ԋߎឦ໔ޑጠӝႝ৒ቚуǴ٬ளӅਁᓎ౗ Πफ़ǶԶவࢎᄬ4ᆶࢎᄬ7КၨǴҬᒱᡂᓸᏔޑጠӝ߯ኧКଆ୴᠄ᡂᓸᏔեࡐ ӭǶΨᇥܴΑ୴᠄ԄޑᙅݤКҬᒱ୴᠄Ԅޑᙅݤගٮ׳ӳጠӝ߯ኧǶᡂᓸᏔ ޑჴ౜Ǵჹܭ৔ᓎႝၡޑჴ౜ǴஒԖεεޑᔅշǶკ4.55ࣁᡂᓸᏔ඲Тޑ ejfqipupǶ߄4.3ࣁᡂᓸᏔࢎᄬჹྣ߄ǶԶᡂᓸᏔޑ฻ਏኳࠠǴፎୖԵߕᒵ ȐΟȑǶ! ! ! ! კ4.55!ᡂᓸᏔ඲Тޑejfqipup! ! ! ! ! ࢎᄬ2 ࢎᄬ3 ࢎᄬ4 ࢎᄬ6! ࢎᄬ5! ࢎᄬ7! ࢎᄬ8!

ಃΟക!೏୏ϡҹ! ! ! ߄4.3!ᡂᓸᏔࢎᄬჹྣ߄!! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ࢎᄬ2! ࢎᄬ3 ࢎᄬ4 ࢎᄬ6 ࢎᄬ5! ࢎᄬ7

ಃѤക!եᚇૻܫεᏔ೛ी! !

ಃѤക!

եᚇૻܫεᏔ೛ी!

!!ȐեᚇૻܫεᏔϣ೽ԖคӅ೫ϰଛϐࣴزȑ!

4.1

!!ᙁϟ

! ҁകஒ௖૸եᚇૻܫεᏔޑႝၡ೛ीᆶჴբǴ໺಍᠄ௗԄեᚇૻܫε ᏔǴӧӅ৔ཱུႝགଏϯࢎᄬܫεᏔࢎᄬȐjoevdups!efhfofsbujpoȑаϷӅ ୷ཱུϐ໔٠คϣ೽Ӆ೫ϰଛȐJoufs.Tubhf!Dpokvhbuf!NbudijohȑǴՠࢂϣ ೽Ӆ೫ϰଛჹܭ᠄ௗԄեᚇૻܫεᏔԖ๱ܴᡉޑቹៜǶ܌аӧࡕय़ޑക࿯ஒ ૸ፕϣ೽Ӆ೫ϰଛϐܭ᠄ௗԄեᚇૻܫεᏔޑϩ݋Ƕ!

4.2 եᚇૻܫεᏔࢎᄬᙁϟ

ӧ৔ᓎ߻ᆄႝၡޑന߻ભ൩ࢂ΋ঁڂࠠޑեᚇૻܫεᏔǴҗܭߞဦӧޜ ਻ύ໺ሀ཮Ԗ೚ӭᚇૻυᘋǴЪߞဦޑૈໆ཮εໆޑ૰෧Ǵډၲௗԏᆄਔߞ

ಃѤക!եᚇૻܫεᏔ೛ी! ! ဦ཮ᡂள࣬྽λЪᆶᚇૻషӧ΋ଆǶӢԜեᚇૻܫεᏔѸ໪ගٮى୼ޑቚ੻ Ȑhbjoȑаှ،җΠ΋ભႝၡӵషᓎᏔ܌೷ԋޑᚇૻୢᚒǶԶନΑගٮቚ੻ Ѧ Ǵ ե ᚇ ૻ ܫ ε Ꮤ ҁ ي Ѹ ໪ ග ٮ ࣬ ྽ ե ޑ ᚇ ૻ ଅ ᝘ ࡋ Ȑ opjtf! dpousjcvujpoȑǴӵԜωό཮٬᏾ᡏ೯ૻس಍ϐᚇૻ߄౜ϼৡǶ! ӧௗԏᐒࢎᄬύǴ೯தӧեᚇૻܫεᏔ߻཮Ԗ΋ঁᓎ౗ᒧ᏷ᘠݢᏔǴ ځᒡрࢂ61ኻۅǴ܌аեᚇૻܫεᏔᒡΕߔלΨाϰଛډ61ኻۅǶԜѦǴҗ ܭႝ඲ᡏޑᒡΕߔלࣁႝ৒܄ǴӢԜाӕਔᡣᒡΕᆄץଛԿ61ኻۅ٠Ъόफ़ եᚇૻࡰኧࢂࡐ֚ᜤޑǶԶаΠϟಏ΋եᚇૻܫεᏔதҔޑࢎᄬ...Ӆ৔ཱུ ႝགଏϯࢎᄬܫεᏔࢎᄬȐjoevdups!efhfofsbujpoȑǶӧϩ݋೭ঁႝၡϐ ߻ǴךॺӃග΋ΠSMDӅਁᆛၡǶკ5.2ࢂSMDՍᖄӅਁᆛၡޑኳࠠǴӧӅਁ ਔځӅਁᓎ౗ࣁǺ! 0 1 LC Z ! s

V

R

L

C

! !!!! კ 5.2!SMD ՍᖄӅਁᆛၡኳࠠ! ! კ5.3)b*ύǴࣁӅ৔ཱུႝགଏϯࢎᄬܫεᏔࢎᄬȐJoevdups! EfhfofsbujpoȑǶӧ೛ीեᚇૻܫεᏔޑᒡΕϰଛᆛၡȐJoqvu!Nbudijoh! Ofuxpslȑਔ٠όࢂϰଛډനεϐቚ੻ԶࢂനλϐᚇૻࡰኧǴ೭ࢂӢࣁեᚇ ૻܫεᏔࣁௗԏس಍ޑ߻ભǴӢԜځᚇૻຫλຫӳǴฅԶځቚ੻Ψࢂߚதख़

ಃѤക!եᚇૻܫεᏔ೛ी! ! ाǴӢࣁଯቚ੻ёаफ़եեᚇૻܫεᏔࡕભႝၡϐᚇૻǴ܌аӧ೛ीեᚇૻ ܫεᏔਔளӧଯቚ੻کեᚇૻࡰኧϐ໔բڗ௭Ǵ೯த೛ीޣӧ೛ीਔ཮٬Ҕ Ӆ৔ཱུႝགଏϯࢎᄬٰჴ౜ႝၡǴ೭ࢂӢࣁӅ৔ཱུႝགଏϯࢎᄬନΑёа৒ ܰၲԋᒡΕϰଛϐѦǴᗋԖஒቚ੻༝کᚇૻ༝܎߈ޑфૈǴё٬ளեᚇૻܫ εᏔૈӕਔᏱԖόᒱޑቚ੻аϷᚇૻࡰኧǶԶځલᗺࣁѸ໪឴࣊΋٤੻Ƕӧ კ5.3)c*ύǴҗӅ৔ཱུႝགଏϯࢎᄬϐ୷ཱུ࣮຾ѐޑߔלࣁǺ! !





S S S S C L g sC L L s sL sC g sC sL Z_{in b m ¸¸ e b}  _e   _m e ¹ · ¨¨ © §    1 1 1 1 _! ! b L e L b C V_be g V_{m be} dd

V

in

Z

neglecting the effect of C_P

e L b L ! !!!!!!!!!!!!!!!)b*!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)c*! კ5.3ࣁӅ৔ཱུႝགଏϯࢎᄬܫεᏔࢎᄬ! ȐJoevdups!Efhfofsbujpoȑ! ! ךॺёаעᒡΕᆄϐᆛၡᙯඤԋΠკϐ SMD ՍᖄӅਁᆛၡǴӵკ 5.4Ǻ!

ಃѤക!եᚇૻܫεᏔ೛ी! ! s

V

eff

R

L_eff eff C ! ! !კ 5.4!฻ਏϐՍᖄӅਁᆛၡ! ! ځύǴ S C L g R e m eff ǴLeff Lb LeǶ! ᒡΕᆄߔלѸ໪ϰଛ 61 ኻۅǴӢԜZinϐჴ೽ࣁ 61 ኻۅǴ຀೽ࣁ 1Ƕ߾Ǻ!





S Z C L L_b  _e 1 0 ! : 50 S C L g R_{s m} e ! җ΢ٿԄߡёаளډ྽ߔלϰଛਔǴ܌ሡޑLeǵLbکgmॶǶ! !

4.3 ႝၡ೛ीБݤ

җܭեᚇૻܫεᏔନΑሡाى୼ޑቚ੻Ǵа׭ڋࡕભϐᚇૻࡰኧѦǴҁ يޑᚇૻΨࢂځ೛ीޑख़ाԵໆϐ΋ǶӢԜךॺѸ໪ճҔςޕޑϡҹ੝܄చ ҹȐୃᓸచҹǵTୖኧکᚇૻୖኧȑٰ೛ीեᚇૻܫεᏔǴӵԜωёճҔኳ ᔕ೬ᡏྗዴႣෳрեᚇૻܫεᏔϐ੝܄ǴӵǺቚ੻ǵᒡΕϸ৔߯ኧǵᒡрϸ ৔߯ኧکᚇૻࡰኧ฻ǶӢԜჴᡍ࠻೸ၸ୯ৎ඲Тس಍೛ीύЈȐDJDȑගٮ ޑHDU!JoHbq0HbBT!ICUᇙำǴΠЬ୏ϡҹෳ၂ᗖ)uftu!lju*ӵკ5.5Ǵӧ࿶ җ୯ࣽ཮୯ৎڼԯϡҹჴᡍ࠻ȐOEMȑޑϡҹᚇૻࡰኧໆෳǴளډႝ඲ᡏޑT

ಃѤക!եᚇૻܫεᏔ೛ी! ! ୖኧȐT!qbsbnfufsȑǴനեޑᚇૻࡰኧ)Gnjo*Ǵ࣬ᜢቚ੻)Bttpdjbufe!

Hbjo*Ǵᚇૻႝߔ)So*ǴаϷന٫ޑᒡΕᆄϸ৔߯ኧ)*_opt*Ƕკ5.6ջࣁ!OQO!

JoHbq0HbBT!ICUǴR3q5y4y3!)ջ؂ਥޑfnjuufs!Tj{f>3/5y4 mP -Ӆٿਥ Fnjuufs*ޑᚇૻୖኧໆෳၗ਑ǴхࡴΑGnjoǴSoǴBttpdjbufe!HbjoǶ! ! ! ! კ 5.5!OQO!JoHbq0HbBT!ICU ෳ၂ᗖ! Ȑკύ୮ᒧೀࣁ R3q5y4y3 ޑႝ඲ᡏȑ! ! ! ! ! ! ! ! ! ! ! !

ಃѤക!եᚇૻܫεᏔ೛ी! ! 1 2 3 4 5 6 0 1 2 3 4 5 6 7 Frequency(GHz) Fmin (d B) , Rn (norm alized to 50oh ms) Fmin Rn 0 10 20 30 GaAS HBT Emitter:2.4x3x2um2 V CE=1.2V, IC=1.276mA _A ssocia ted Gain (d B) Gain ! !!!!!!!!!კ5.6!R3q5y4y3ޑGnjoǴSoǴBttpdjbufe!Hbjo! ! ҁԛ೛ीեᚇૻܫεᏔǴ܌௦Ҕޑࢎᄬࢂ᠄ௗԄեᚇૻܫεᏔǴջಃ΋ ભࣁӅ৔ཱུႝགଏϯࢎᄬу΢ಃΒભޑӅ୷ཱུႝၡǶಃΒભӅ୷ཱུႝၡёа फ़եԯୌਏᔈ)Njmmfs!Fggfdu*Ƕ٠ගٮࡐӳޑ႖๊ࡋȐHppe!Jtpmbujpoȑ फ़եΠ΋ભషᓎᏔȐNjyfsȑ܌ౢғޑҁӦૻဦޑࢻᅅȐMP!MfblbhfȑǶҗ ܭӧ೛ीեᚇૻܫεᏔޑᒡΕϰଛᆛၡਔ٠όࢂϰଛډനεϐቚ੻Զࢂϰଛ ډനλϐᚇૻࡰኧǴ೭ࢂӢࣁեᚇૻܫεᏔࣁௗԏس಍ޑ߻ભǴӢԜځᚇૻ ຫλຫӳǴՠࢂځቚ੻Ψࢂߚதख़ाǴӢࣁଯቚ੻ёаफ़եեᚇૻܫεᏔࡕ ભႝၡϐᚇૻǴ܌аӧ೛ीեᚇૻܫεᏔਔளӧଯቚ੻کեᚇૻࡰኧ໔բڗ ௭Ǵ೯த೛ीޣӧ೛ीਔ཮٬ҔӅ৔ཱུႝགଏϯࢎᄬٰჴ౜ႝၡǴӵӃ߻܌ ॊޑӅ৔ཱུႝགଏϯࢎᄬႝၡǶ!! !

ಃѤക!եᚇૻܫεᏔ೛ी! ! ௗ๱ךॺϟಏӵՖճҔႝ඲ᡏϐςޕୃᓸᗺޑTୖኧکᚇૻୖኧޑၗ਑ ٰ೛ी΋եᚇૻܫεᏔǶ२ӃǴӃஒໆෳႝ඲ᡏϐTୖኧکᚇૻୖኧ᏾ӝԋ ΋T3Qᔞӵკ5.7ǶӵΠǺ! ! ! კ 5.7!T3Q!gjmf! ! ճҔT3QᔞǴ೸ၸBETኳᔕ೬ᡏǴኳᔕр᠄ௗԄեᚇૻܫεᏔȐόхࡴ ᒡΕаϷᒡрϰଛᆛၡȑޑᛙۓ༝ᙖаղᘐᛙࡋࡋǶҗܭ᠄ௗԄࢎᄬ٠όᛙ ۓǴ܌аӧᒡрᆄ٠ᖄ΋ႝߔǴ٬ᛙۓࡋၲډคచҹᛙۓȐVodpoejujpobm!

ಃѤക!եᚇૻܫεᏔ೛ी! ! TubcmfȑǴႝߔࢂ٠ᖄډWeeԶߚډӦǶӵԜ΋ٰёа٬ႝၡၲډคచҹᛙ ۓЪޔࢬਔӢࣁکϰଛႝག٠ᖄǴ܌а٠ό཮੃઻ޔࢬф౗ǴՠԜ΋ᛙۓႝ ߔόёуӧᒡΕᆄǴӢࣁ཮೷ԋᚐѦ዗ᚇૻȐUifsnbm!OpjtfȑЪफ़եቚ ੻Ƕკ5.8ࣁӧ6/3HI{ޑᛙۓ༝Ƕᛙۓ୔ୱࣁᛙۓ༝ޑѦ೽Ȑpvutjefȑ఼ᇂ Α᏾ঁўஏථკ)Tnjui!Dibsu*Ǵ܌аёаዴۓӧ6/3HI{ࣁคచҹᛙۓǶკ 5.9ࣁեᓎډ܌ᏹբޑᓎ౗6/3HI{ࣣࣁคచҹᛙۓȐL?2ǴC?1ȑǶ! ! !!კ5.8!᠄ௗԄࢎᄬޑᛙۓ༝Ƕ! ! ! ! !

ಃѤക!եᚇૻܫεᏔ೛ी! ! ! !!!კ5.9եᓎډ܌ᏹբޑᓎ౗6/3HI{ࣣࣁคచҹᛙۓȐL?2ǴC?1ȑ! ! ֹԋΑᛙۓࡋǴௗޣ೛ीᒡΕϰଛᆛၡ)Joqvu!Nbudijoh!Ofuxpsl*Ǵҗ ܭᒡΕᆄޑϰଛѸ໪ᡣႝၡӕਔԖόᒱޑᚇૻࡰኧаϷቚ੻Ƕ܌а೸ၸᚇૻ ༝аϷቚ੻༝ޑϩ݋Ǵᒧۓ፾྽ޑᒡΕᆄϸ৔߯ኧ)*_s*Ƕӵკ5.:! ! კ5.:!ቚ੻༝کᚇૻ༝!

ಃѤക!եᚇૻܫεᏔ೛ी! ! നࡕբᒡрᆛၡϰଛȐPvuqvu!Nbudijoh!OfuxpslȑǴஒᒡрᆄϰଛډ 61ኻۅǶკ5.21ࣁ᏾ঁեᚇૻܫεᏔޑࢎᄬǶ! ! dd V in RF out RF bias V S * e L b L ! !!!!!!!!!!!!! !!კ5.21ࣁ᏾ঁեᚇૻܫεᏔޑࢎᄬ! !!!!!!!!!!!!!!!

4.4

եᚇૻܫεᏔϣ೽Ӆ೫ϰଛϐࣴز!

ӧ৔ᓎႝၡȐSbejp!Gsfrvfodz!DjsdvjuȑύǴф౗ቚ੻ȐQpxfs! Hbjoȑࢂߚதख़ाޑǴࣁΑၲډനӳޑф౗ᙯඤ)Qpxfs!Usbotgpsn*Ǵӧٿ ભޑЬ୏ႝၡϐ໔ޑߔלᙯඤ)Jnqfebodf!Usbotgpsn*Ѹ໪଺ډӅ೫ϰଛ )Dpokvhbuf!Nbudijoh*Ƕՠࢂ໺಍᠄ௗԄޑեᚇૻܫεᏔӧಃ΋ભޑӅ৔ཱུ ႝགଏϯࢎᄬᆶಃΒભӅ୷ཱུࢎᄬϐ໔ǴؒԖᚐѦޑߔלϰଛǶ܌а٠ؒԖ ၲډന٫ޑф౗ᙯඤǶ! ӢԜࣁΑᡣ᠄ௗԄޑեᚇૻܫεᏔޑಃ΋ભᆶಃΒભϐ໔ၲډന٫ޑф

ಃѤക!եᚇૻܫεᏔ೛ी! ! ౗ᙯඤǴу΢Αϣ೽ϰଛ)Joufs.Tubhf!Nbudijoh*Ƕҁԛ೸ၸၸ୯ৎ඲Тس ಍೛ीύЈȐDJDȑගٮޑHDU!JoHbq0HbBT!ICUᇙำǴ೛ीΑٿᗭ6/3HI{ե ᚇૻܫεᏔǴځύ΋ࣁ໺಍᠄ௗԄեᚇૻܫεᏔǴќ΋ࣁ᠄ௗԄޑեᚇૻܫ εᏔу΢Αϣ೽ϰଛ)Joufs.Tubhf!Nbudijoh*ǶКၨٿႝၡӧቚ੻Ǵᚇૻࡰ ኧǴᒡΕϸ৔ཞ઻ȐJoqvu!Sfuvso!MpttȑǴаϷᒡрϸ৔ཞ઻ȐPvuqvu! Sfuvso!MpttȑǶ! २ӃǴ໺಍᠄ௗԄեᚇૻܫεᏔޑ೛ीБݤӵ΢΋࿯܌ॊǶϣ೽ϰଛޑ եᚇૻܫεᏔБय़ǴࣁΑКၨԖคϣ೽ϰଛჹ᠄ௗԄᚇૻܫεᏔޑቹៜǶ܌ аѝӧ໺಍᠄ௗԄᚇૻܫεᏔಃ΋ભаϷಃΒભϐ໔բΑϣ೽ϰଛǶჹܭႝ ၡޑځд೽ϩࣣόׯᡂǶ! კ5.22ࣁ᠄ௗԄեᚇૻܫεᏔλૻဦϩ݋ႝၡǶவಃ΋ભӅ৔ཱུႝགଏ ϯࢎᄬޑᒡрᆄ࣮ډޑߔל ₁ 1 1 out out Z Y ࣁ΋ଯߔלǴԶவಃΒભӅ୷ཱུࢎᄬ ޑᒡΕᆄ࣮ډޑߔל ₂ 2 1 in in Z Y ࣁ΋եߔלǶ܌аճҔ٠ᖄ΋ঁႝ৒ǴӧՍ ᖄ΋ঁႝགբϣ೽ϰଛǴஒߔלZ_out1ᙯඤԋZ_mǴ٬ள܌ჹᔈϸ৔߯ኧ*_mԋ ࣁ*_in2Ӆ೫ϰଛȐջ* *_{m in2}*ȑӵკ5.23Ƕᡣٿભϐ໔Ԗന٫ޑф౗ᙯ ඤǶკ5.24ջࣁԖϣ೽ϰଛޑեᚇૻܫεᏔǶӧޔࢬф౗੃઻Бय़Ǵϣ೽ϰ ଛႝၡؒԖ೷ԋᚐѦޑޔࢬф౗੃઻ǴЪόׯᡂႝ඲ᡏୃᓸᗺǶ! !

ಃѤക!եᚇૻܫεᏔ೛ी! ! 2 1 1 1 m m out e j e C C C j C C C C Y C C C L L C C C C g g P S P S P S P P P P S P S P Z Z §¨_¨ ·¸ _¸ Z © ¹ § ·  ¨ _{ } ¸ © ¹ § ·   ¨ _{ } ¸ © ¹ 2 m in Y g e

L

b

L

! ! კ5.22!᠄ௗԄեᚇૻܫεᏔλૻဦϩ݋ႝၡ! ! ! 2 in * e L b L * 2 m in * * ! ! კ5.23!ճҔ٠ᖄ΋ঁႝ৒ǴӧՍᖄ΋ঁႝགբϣ೽ϰଛ!

ಃѤക!եᚇૻܫεᏔ೛ी! ! dd V in RF out RF bias V S * e L b L ! ! კ5.24!Ԗϣ೽ϰଛޑեᚇૻܫεᏔ!

4.5 ኳᔕ่݀ϩ݋!

аΠࢂ BET ኳᔕኧᏵǴКၨԖคϣ೽ϰଛȐJoufs.Tubhf!Nbudijohȑޑᚇ ૻܫεᏔǶႣीԖϣ೽ϰଛեᚇૻܫεᏔǴஒ཮ԖКؒԖуϣ೽ϰଛޑե ᚇૻܫεᏔӭ 6eC ޑቚ੻!)T32*!ӵკ 5.25Ǵՠࢂӧᚇૻࡰኧ΢ϲऊ 1/4eC ӵკ 5.26ǴаϷӧᒡΕϸ৔ཞ઻ȐT22ȑৡΑ 4eC ӵკ 5.27ǶԿܭᒡрϸ ৔ཞ઻ȐT33ȑ߾ࢂ൳Я΋ኬӵკ 5.28Ƕҗܭϣ೽ϰଛࢂӅ೫ϰଛ܌аӧቚ ੻΢཮εεׯ๓Ǵՠࢂҗܭႝ඲ᡏόࢂൂӛϯ)vojmbufsbm*Ǵջႝ඲ᡏޑ T23 όࣁ႟Ƕ܌аӅ೫ϰଛ཮ቹៜᒡΕϰଛᆛၡǴ೷ԋᒡΕϸ৔ཞ઻аϷᚇ ૻࡰኧޑᡂϯǶᒡрϸ৔ཞ઻җܭӅ୷ཱུගٮΑࡐӳޑ႖๊ࡋǴӢԜό཮ ԖܴᡉޑᡂϯǶ!

ಃѤക!եᚇૻܫεᏔ೛ी! !

(1)

!ኳᔕф౗ቚ੻ȐT32ȑ!კ 5.25! 1 2 3 4 5 6 7 8 9 10 11 -20 -15 -10 -5 0 5 10 15 20 25 S2 1( dB ) Frequency(GHz) LNA

LNA with InterStage

(2)

!ኳᔕᚇૻࡰኧȐOGȑკ 5.26! 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 NF( d B) Frequency(GHz) LNA