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੝܄

!

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

!

v

i

i s ^Y

v

i

network port -two Noiseless

! !

კ 3.2!ܫεᏔϐᚇૻኳࠠ!

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! !

੻)Bttpdjbufe!Hbjo*Ǵᚇૻႝߔ)So*ǴаϷന٫ޑᒡΕϸ৔߯ኧ)*_opt*Ǵ Ѹ໪೸ၸ Po.xbgfs ޑଯᓎᚇૻໆෳǴՠࢂ࣬྽຤ਔǴЪӢࣁሺᏔޑᒡΕᆄ

੻)Bttpdjbufe!Hbjo*Ǵᚇૻႝߔ)So*ǴаϷന٫ޑᒡΕᆄϸ৔߯)*_opt*Ǵ όՠёаᗉխ Po.xbgfs ଯᓎᚇૻໆෳޑόྗዴ܄Ǵӕਔ࣪ਔǶ!

ಃ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!

Fmin(dB) , Rn(normalized to 50ohms)

Fmin Rn

0 10 20 GaAS HBT Emitter:2.4x3x2um² 30

V_CE=1.2V, I_C=1.276mA

ಃѤക!౦፦ௗय़ᚈၩηႝᡏᚇૻϩ݋! !

Fmin(dB) , Rn(normalized to 50ohms)

Fmin GaAS HBT Emitter:2.4x3x2um²

V_CE=1.2V, I_C=1.276mA

ಃ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܌ჹᔈޑႝགॶǴC_oࣁߎឦቫ΋ᆶߎឦቫΒख़᠄ޑႝ৒ǵ R ࣁߎឦޑཞ

઻ႝߔǵC_subࣁ୷݈ޑႝ৒Ƕ!

ಃΟക!೏୏ϡҹ! !

W

N turns

G IS

კ4/2!ѳय़ႝག!

1 C sub

L R

C

sub

კ4/3!!HbBtႝག฻ਏኳࠠ!

ಃΟക!೏୏ϡҹ! !

3.2.4 ႝགኳᔕ

Ԝԛኳᔕ௦ҔJF4EǴࣁFNޑኳᔕ೬ᡏǴ!ኳᔕਔஒႝག΋ᆄௗӦǶ!

྽ԋpof!qpsuϡҹǴѐ࣮Sf\[jo^аϷJn\[jo^Ǵ຾Զ؃ޑႝགޑJoevdubodf аϷRॶǶځύJoevdubodfɨ ^Im[ ^]

2 Zin

SuFreq 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! !

sim_Inductance

-15

ಃΟക!೏୏ϡҹ! !

ಃΟക!೏୏ϡҹ! ! sim_Inductance

-15

ಃ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

Inductance(nH)

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 Factor

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

Inductance(nH)

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 Factor

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

Inductance(nH)

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 Factor

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

Co>27/1:3gGǴC_sub₁>36gGǴ!C_sub₂>49/145gGǶკ4.33ࣁໆෳᆶኳࠠޑTୖ

ኧКၨǶӧT22೽ϩ࣬྽ௗ߈ǶT33೽ϩӧեᓎਔǴৡ౦όεǴଯᓎਔ߾Ԗ2

ಃ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 N1Ǵጕ୮ 3)Dpjm!3*ޑጕ୮႔ኧࣁN₂Ǵጕ୮ 2 ӢႝࢬI₁܌ౢғޑᅶ೯ໆࣁ I11Ǵጕ୮ 3 ӢႝࢬI₂܌ౢғޑᅶ೯ໆࣁI₂₂Ǵ!!

i

ⁱ

v

I12

I21

IL IL2

კ4.35!ᡂᓸᏔ)Usbotgpsnfs*ޑҢཀკ!

ጕ୮2ӢႝࢬI₁܌ౢғޑᅶ೯ໆࣁI₁₁аϷጕ୮3ӢႝࢬI₂܌ౢғޑᅶ೯ໆࣁ I22ӵΠǺ!

11 21 L1

I I I

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Ȑ4/2ȑ

!!!

I

²²

I

¹²

I

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

I

^L¹ࣁጕ୮2ޑᅅᅶ೯ໆ)mfblbhf!gmvy*Ǵ

I

^L²^{ࣁጕ୮3ᅅ}

ᅶ೯ໆ)mfblbhf!gmvy*ǶԶጕ୮2ޑᅶ೯ໆ

I

¹^ࣁႝࢬI1аϷႝࢬI₂܌ౢғᅶ ೯ໆЪ࿶ၸጕ୮2ࣁ!

ಃΟക!೏୏ϡҹ! !

ځύM₁₂ࣁႝࢬI₂ޑ҅КதኧΨ൩ࢂጕ୮2ޑϕག)nvuvbm.Joevdubodf*Ƕ!

ځύ҅ॄဦࢂႝࢬI₁ᆶႝࢬI₂Бӛ܄ޑୢᚒԶςǴӕӛࣁ҅ဦǴϸӛࣁॄ

ဦǶӕ౛፾Ҕܭጕ୮3ǴԶനࡕёளϕགM¹² M²¹ M !)ୖԵЎ᝘5*!Ƕጠ ӝ߯ኧ K )Dpvqmjoh!Gbdups! K *ࢂղᘐᡂᓸᏔޑጕ୮܌ౢғޑᅶ೯ໆࢂԖ

࿶ၸќ΋ጕ୮ޑख़ाୖኧǶ!

ಃ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

K M

L L !L₁ᆶL₂ࣁϩձࣁIm Z

> @

11 ǴIm Z

>

@

ǴM ࣁ^{Im Z}

> @

²¹ ^ǶЪL1 LL1 MǴ^L₂ ^L_L₂ ^MǴ^L_L₁ᆶ^L_L₂ࣁmfblbhf!

joevdubodf)ୖԵЎ᝘9*Ƕ!

ಃ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)

Transmission Coefficient 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 (Coupling Factor)

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)

Transmission Coefficient S21(dB)

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 (Coupling Factor)

Measurement Simulation

! კ4.44!ࢎᄬ3ኳᔕᆶໆෳጠӝ߯ኧL!)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 Z LC !

V

R ^L

!!!!

კ 5.2!SMD ՍᖄӅਁᆛၡኳࠠ!

კ5.3)b*ύǴࣁӅ৔ཱུႝགଏϯࢎᄬܫεᏔࢎᄬȐJoevdups!

EfhfofsbujpoȑǶӧ೛ीեᚇૻܫεᏔޑᒡΕϰଛᆛၡȐJoqvu!Nbudijoh!

Ofuxpslȑਔ٠όࢂϰଛډനεϐቚ੻ԶࢂനλϐᚇૻࡰኧǴ೭ࢂӢࣁեᚇ

ૻܫεᏔࣁௗԏس಍ޑ߻ભǴӢԜځᚇૻຫλຫӳǴฅԶځቚ੻Ψࢂߚதख़

ಃѤക!եᚇૻܫεᏔ೛ी! !

neglecting the effect of C_P

ಃ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೛ी! !

Fmin(dB) , Rn(normalized to 50ohms)

Fmin Rn

0 10 20 GaAS HBT Emitter:2.4x3x2um² 30

VCE=1.2V, I

ಃ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!

Vdd

RFin

RFout

Vbias

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

!!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

out

Z Y ࣁ΋ଯߔלǴԶவಃΒભӅ୷ཱུࢎᄬ

ޑᒡΕᆄ࣮ډޑߔל ₂

Z Y ࣁ΋եߔלǶ܌аճҔ٠ᖄ΋ঁႝ৒ǴӧՍ ᖄ΋ঁႝགբϣ೽ϰଛǴஒߔל^Z_out₁ᙯඤԋ^Z_mǴ٬ள܌ჹᔈϸ৔߯ኧ*_mԋ ࣁ*_in₂Ӆ೫ϰଛȐջ* *_m _in₂^*ȑӵკ5.23Ƕᡣٿભϐ໔Ԗന٫ޑф౗ᙯ ඤǶკ5.24ջࣁԖϣ೽ϰଛޑեᚇૻܫεᏔǶӧޔࢬф౗੃઻Бय़Ǵϣ೽ϰ ଛႝၡؒԖ೷ԋᚐѦޑޔࢬф౗੃઻ǴЪόׯᡂႝ඲ᡏୃᓸᗺǶ!

ಃѤക!եᚇૻܫεᏔ೛ी! !

Vdd

RFin

RFout

Vbias

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೛ी! !

LNA with InterStage

(2)

!ኳᔕᚇૻࡰኧȐOGȑკ 5.26!

LNA with InterStage

ಃѤക!եᚇૻܫεᏔ೛ी! !

(3)

!ኳᔕᒡΕϸ৔ཞ઻ȐT22ȑკ 5.27!

1 2 3 4 5 6 7 8 9 10 11

-20 -15 -10 -5 0

S11(dB)

Frequency(GHz)

LNA

LNA with InterStage

(4)

!ኳᔕᒡрϸ৔ཞ઻ȐT33ȑკ 5.28!

1 2 3 4 5 6 7 8 9 10 11

-15 -10 -5 0

S22(dB)

Frequency(GHz)

LNA

LNA with InterStage

ಃѤക!եᚇૻܫεᏔ೛ी! !

4.6 ໆෳ่݀ϩ݋!

!եᚇૻܫεᏔޑୃᓸᗺӧWC2>2/46W-!WC3>3/66W-!WD>4/7W-!JD>3/33nB!

Ԗϣ೽ϰଛեᚇૻܫεᏔޑୃᓸᗺӧWC2>2/46W-!WC3>3/66W-!WD>4/7W-!

JD>3/53nBǶ!

(1)

!ໆෳф౗ቚ੻ȐT32ȑ!კ 5.29!

!!!եᚇૻܫεᏔӧ6/3HI{ਔǴT32>24/:4eC!

Ԗϣ೽ϰଛեᚇૻܫεᏔӧ6/3HI{ਔǴT32>2:/72eC!

2 3 4 5 6 7 8 9 10 11

-15 -10 -5 0 5 10 15 20 25

S21(dB)

Frequency(GHz) LNA

LNA with InterStage

ಃѤക!եᚇૻܫεᏔ೛ी! !

(2)

!ໆෳᚇૻࡰኧȐOGȑ!კ 5.2:!

!!!եᚇૻܫεᏔӧ6HI{ਔǴOG>3/53eC!

Ԗϣ೽ϰଛեᚇૻܫεᏔӧ6HI{ਔǴOG>3/42eC!

1 2 3 4 5 6 7 8 9 10 11

0 1 2 3 4 5 6 7 8 9 10

Frequency(GHz)

NF(dB)

LNA

LNA with InterStage

ಃѤക!եᚇૻܫεᏔ೛ी! !

(3)

!ໆෳᒡΕϸ৔ཞ઻ȐT22ȑ!კ 5.31!

!!!եᚇૻܫεᏔӧ6/3HI{ਔǴT22>.24/63eC!

Ԗϣ೽ϰଛեᚇૻܫεᏔӧ6/3HI{ਔǴT22>.29/98eC!

2 3 4 5 6 7 8 9 10 11

-25 -20 -15 -10 -5 0

S11(dB)

Frequency(GHz) LNA

LNA with InterStage

!!!!!

ಃѤക!եᚇૻܫεᏔ೛ी! !

(4)

!ໆෳᒡΕϸ৔ཞ઻ȐT33ȑ!კ 5.32!

!!!եᚇૻܫεᏔӧ6/3HI{ਔǴT33>.22/17eC!

Ԗϣ೽ϰଛեᚇૻܫεᏔӧ6/3HI{ਔǴT33>.24/:8eC!

2 3 4 5 6 7 8 9 10 11

-25 -20 -15 -10 -5 0

S22(dB)

Frequency(GHz) LNA

LNA with InterStage

4.7

եᚇૻܫεᏔ่ፕ!

வໆෳٰ่࣮݀ǴКၨԖคϣ೽ϰଛȐJoufs.Tubhf!Nbudijohȑޑᚇૻܫ εᏔǶӧ 6/3Hi{ ਔǴϣ೽ϰଛեᚇૻܫεᏔǴКؒԖуϣ೽ϰଛޑեᚇૻ

ܫεᏔӭ 6/7eC ޑቚ੻!)T32*!ӵკ 5.29Ǵӧᚇૻࡰኧ)OG*Πफ़ऊ 1/2eC ӵ კ 5.2:ǴӧᒡΕϸ৔ཞ઻ȐT22ȑӳΑ 6/4eC ӵკ 5.31ǶԿܭᒡрϸ৔ཞ

઻ȐT33ȑΨӳΑऊ 4eC ӵკ 5.32Ƕ೸բΑჴբ᛾ܴΑϣ೽ϰଛޑዴεεׯ ๓ΑեᚇૻܫεᏔޑቚ੻)T32*Ƕ߄ 5.2 ࣁեᚇૻܫεᏔໆෳ่ፕǶკ 5.33 ࣁեᚇૻܫεᏔޑ඲ТྣТǶ!!!!!!!!!!!!!!

ಃѤക!եᚇૻܫεᏔ೛ी! !

߄5.2!!եᚇૻܫεᏔໆෳ่ፕ!

ໆෳ໨Ҟ! ໺಍᠄ௗեᚇૻܫεᏔ ϣ೽ϰଛեᚇૻܫεᏔ

πբᓎ౗! 5.2GHz 5.2GHz

ୃᓸᗺ ^VB1=1.35V^Ǵ

VC=3.6VǴIC=2.22 mA

VB1 =1.35VǴ

VC=3.6VǴIC=2.42 m A

ф౗੃઻ 8 m W 8.71 m W

ᒡΕϸ৔ཞ઻)T22* -13.52dB -18.87dB ᒡрϸ৔ཞ઻)T33* -11.06dB -13.97dB

ф౗ቚ੻)T32*! 13.93dB 19.61dB

ᚇૻࡰኧ)OG*! 2.42dB! 2.31dB

ಃѤക!եᚇૻܫεᏔ೛ी! !

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

!კ5.33!!եᚇૻܫεᏔޑ඲ТྣТ!

໺಍᠄ௗեᚇૻܫεᏔ ϣ೽ϰଛեᚇૻܫεᏔ

ಃϖക!่ፕ! !

ಃϖക!

่ፕ!

!!!

ႝགޑ೛ीᆶჴբǴᔅշךॺ׳ᕕှႝགୖኧჹႝགགॶаϷ R ॶ ޑቹៜǴჹܭ۳ࡕޑႝག೛ी܈ࢂႝၡჴբਔႝགޑࡷᒧǴ!೿Ԗჴ፦ޑշ

੻ǶᡂᓸᏔӧ৔ᓎᑈᡏႝၡޑᔈҔຫٰຫቶݱǴёаჴ౜եႝᓸᏹբࢎᄬǴ ф౗่ӝ)Qpxfs!Dpncjojoh*Ǵߔלϰଛ)Jnqfebodf!NbudijohȑǴ܌аሡा

рଯጠӝ߯ኧޑᡂᓸᏔǴךॺΨჴ౜ளѤᅿόӕޑᡂᓸᏔǴᕕှόӕᙅݤჹ ጠӝ߯ኧޑቹៜǶനࡕǴӧեᚇૻܫεᏔБय़Ǵϩ݋Α T ୖኧᆶᚇૻୖኧϐ ໔ޑᜢ߯ǴаϷჴ౜Α໺಍᠄ௗեᚇૻܫεᏔаϷϣ೽ϰଛեᚇૻܫεᏔǶ ٠ϩ݋ϣ೽ϰଛჹեᚇૻܫεᏔޑቹៜǴόᆅࢂኳᔕ܈ჴሞໆෳ೿᛾ܴΑϣ

೽ϰଛεεׯ๓ޑեᚇૻܫεᏔޑቚ੻Ȑऊ 6/7eCȑǶ҂ٰǴϣ೽ϰଛեᚇ

ૻܫεᏔஒ׳፾ӝ৔ᓎᑈᡏႝၡޑᔈҔǶ!

ߕᒵ! !

sim_Inductance

ߕᒵ! !

sim_Inductance

ߕᒵ! ! sim_Inductance

-20

ߕᒵ! ! sim_Inductance

ߕᒵ! !

sim_Inductance

ߕᒵ! ! sim_Inductance

-15

ߕᒵ! !

sim_Inductance

ߕᒵ! !

ߕᒵȐΒȑ!

ႝག฻ਏኳࠠ!

C

sub

L R

C

sub

ࢎᄬ

)tdifnbujd*!

M)oI*!! S) : *!! C_O)gG*!! !C_sub₁)gG*! C_sub₂)gG*!!

2!! 1/7! 3/257 4/855 46/189! 441/2

3! 3! 5/6 26 31! 49

4! 5/389! 8/179 28/953 54/668! 67/116 5! 1/74! 2/946 7/584 47/197! 4:/672 6! 1/724! 2/958 4/275 48/873! 48/873 7! 2/39:! 5/336 22/546 47/:24! 51/9:5 8! 3/619! 7/:71 27/114 49/939! 57/355 9! 1/482! 2/877 :/241 3:/741! 3:/741

ߕᒵ! !

7! 1/53! 1/53! 1/36! 1/83! 2/54! 238/3! 75/84! 239/8!

8! 5/36! 5/36! 2/55! 22/57! 22/47! 1/2! 2/2:! 44/4!

ߕᒵ! !

0.0 0.5 1.0 1.5 2.0 2.5 3.0

-25 -20 -15 -10 -5 0

Measurement Model

Frequency(GHz)

Transmission Coefficient S21(dB)

ࢎᄬ2!ኳࠠᆶໆෳޑ໺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 (Coupling Factor)

Measurement Model

ࢎᄬ2!ኳࠠᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ߕᒵ! !

0 1 2 3 4 5

-25 -20 -15 -10 -5 0

Measurement Model

Frequency(GHz)

Transmission Coefficient S21(dB)

ࢎᄬ3!ኳࠠᆶໆෳޑ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*!

0 1 2 3 4 5 6

-1.0 -0.5 0.0 0.5 1.0 1.5 2.0

Measurement Model

Frequency(GHz)

K (Coupling Factor)

ࢎᄬ3!ኳࠠᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ߕᒵ! !

0 1 2 3 4 5 6 7 8 9

-30 -25 -20 -15 -10 -5 0

Measurement Model

Frequency(GHz)

Transmission Coefficient S21(dB)

ࢎᄬ4!ኳࠠᆶໆෳޑ໺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

Measurement Model

Frequency(GHz)

K (Coupling Factor)

ࢎᄬ4!ኳࠠᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ߕᒵ! !

0 1 2 3 4 5

-30 -25 -20 -15 -10 -5 0

Measurement Model

Frequency(GHz)

Transmission Coefficient S21(dB)

ࢎᄬ6!ኳࠠᆶໆෳޑ໺ᒡ߯ኧT32)Usbotnjttjpo!Dpfggjdjfou*!

0 1 2 3 4 5

-1.0 -0.5 0.0 0.5 1.0 1.5 2.0

Measurement Model

Frequency(GHz)

K (Coupling Factor)

ࢎᄬ6!ኳࠠᆶໆෳጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ߕᒵ! !

!

ୖԵЎ᝘

[1] Voinigescu, S.P.; Maliepaard, M.C.; Showell, J.L.; Babcock, G.E.; Marchesan, D.;

Schroter, M.; Schvan, P.; Harame, D.L.; ”A scalable high-frequency noise

model for bipolar transistors with application to optimal transistor sizing for low-noise amplifier design. ”; Solid-State Circuits, IEEE Journal of , Volume:

32 , Issue: 9 , Sept. 1997 Pages:1430 - 1439

[2] Hillbrand, H.; Russer, P.; ”correction to 'An Efficient method for Computer Aided Noise Analysis of Linear Amplifier Networks” Circuits and Systems, IEEE Transactions on , Volume: 23 , Issue: 11 , Nov 1976 Pages:691 –

691

[3]G. D. Vendelin, A. M. Pavio, and U. L. Rhode,”Microwave Circuits Design Using Linear and Nonlinear Techniques”. New York: Wiley, ch. 2, pp.93-97, 1990.

[4] David E. Johnson, Johnny R. Johnson, John L. Hilburn, Peter D. Scott, ”Electric Circuit Analysis”Prentice-Hill, ch. 15 pp.610-615, 1997

[5] Manku, T.; Beck, G.; Shin, E.J.; ” A low-voltage design technique for RF integrated circuits” Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on [see also Circuits and Systems II: Express Briefs, IEEE

Transactions on] , Volume: 45 , Issue: 10 , Oct. 1998 Pages:1408 - 1413

[6] Aoki, I.; Kee, S.D.; Rutledge, D.B.; Hajimiri, A.; ”Distributed active

technique” ;Microwave Theory and Techniques, IEEE Transactions on , Volume:

50 , Issue: 1 , Jan. 2002 Pages:316 - 331

[7] Zannoth, M.; Kolb, B.; Fenk, J.; Weigel, R.; ” A fully integrated VCO at 2 GHz” Solid-State Circuits, IEEE Journal of , Volume: 33 , Issue: 12 , Dec. 1998 Pages:1987 - 1991

[8] Laney, D.C.; Larson, L.E.; Chan, P.; Malinowski, J.; Harame, D.; Subbanna, S.;

Volant, R.; Case, M.; ” Microwave transformers, inductors and transmission

lines implemented in an Si/SiGe HBT process” Microwave Theory and

Techniques, IEEE Transactions on , Volume: 49 , Issue: 8 , Aug. 2001 Pages:1507 - 1510

[9] Wong-Sun Kim; Xiaopeng Li; Ismail, M.;” A 2.4 GHz CMOS low noise amplifier using an inter-stage matching inductor ” Circuits and Systems, 1999. 42nd Midwest Symposium on , Volume: 2

[10] Huang, J.C.; Ro-Min Weng; Cheng-Chih Chang; Kang Hsu; Kun-Yi Lin “A 2 V 2.4 GHz fully integrated CMOS LNA ” Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on , Volume: 4 , 6-9 May 2001

[10] Shaeffer, D.K.; Lee, T.H.;” A 1.5 V, 1.5 GHz CMOS low noise amplifier” VLSI Circuits, 1996. Digest of Technical Papers., 1996 Symposium on , 13-15 Jun 1996

[11] M.Danesh,J.R.Long, R. Hardway. And D. Harame, “A Q-factor Enhancement Technique for MMIC Inductors in Silicon Technology:, Proc. Of the International Microwave Symp., Baltmore, MD, Jube, 1988, pp. 217-220

[12] J. R. Long and M. A. Copeland, “The Modeling, Charaterization, and Design of Monolithic Inductors for Silicon RFICs” ,IEEE J. Solid-State Circuits, Vol. 32, No.3,March 1997, pp.357-369.

[13] M. Park, S. Lee, H. K. Yu, J. G. Koo and K. S. Nam, “High Q CMOS-Compatible Microwave Inductors using Double-Metal Interconnection Silicon Technology

“,IEEE Microwave and Guided Wave Letters, Vol. 7 , No, 2, February 1997, pp 45-47.

[14] B. Razavi, “RF Microelectronics,” Upper Saddle River, NJ: Prentice Hall PTR, 1998, Chapter 5.6

[15]G. Gonzalez,“Microwave Transistor Amplifier :Analysis and Design“, Prentice Hall, 1997.

[16] B. Razavi, “Design of Analog CMOS Integrated Circuit“, Mc Graw Hill,1996.

[17] T. H. Lee and S. S. Wong, “CMOS RF integrated circuits at 5 GHz and

beyond,” Proc. IEEE, vol. 88, pp. 1560–1571, Oct. 2000.

在文檔中射頻低雜訊放大器與被動元件之實作與設計 (頁 17-0)

ಃΒക!

౦፦ௗय़ᚈၩηႝ඲ᡏᚇૻϩ݋!

!!!

2.1

!

!

v

i

i s Y

v

i

2.3

ಃΟക!

೏୏ϡҹ!

!!!

3.1

3.2 ѳय़ႝག!

3.2.1 ႝགᙁϟ

3.2.2 ѳय़ႝགኳࠠ

W

N turns

G IS

1

C sub

L R

C

C

3.2.4 ႝགኳᔕ

3.2.6!฻ਏኳࠠ!

3.2.7 ႝག่ፕ!

3.3 ᡂᓸᏔ!

3.3.1 ᡂᓸᏔᙁϟ!

i

i

v

v

I I  I

I

I

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I

I

I

3.3.2 ᡂᓸᏔࢎᄬ!

3.3.3!ኳᔕᆶໆෳϩ݋!

> @

>

@

> @

3.3.4 ᡂᓸᏔ่ፕ!

ಃѤക!

եᚇૻܫεᏔ೛ी!

!!ȐեᚇૻܫεᏔϣ೽ԖคӅ೫ϰଛϐࣴزȑ!

4.1

4.2 եᚇૻܫεᏔࢎᄬᙁϟ

V

R L

4.4

4.5 ኳᔕ่݀ϩ݋!

(2)

(3)

(4)

4.6 ໆෳ่݀ϩ݋!

(1)

(2)

(3)

(4)

4.7

߄5.2!!եᚇૻܫεᏔໆෳ่ፕ!

ಃϖക!

่ፕ!

!!!

ႝག฻ਏኳࠠ!

C

L R

C

C

!

!

i s ^Y

ⁱ

I I I

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R ^L