4/4!!Difssz!Ippqfs!ܫεᐒڋ!

Cherry-hooperܫεᏔࢂCherryکHooperӧ1963ԃ܌ගрޑቨᓎӣ

௤ܫεᏔǹЬाޑႝၡࢂӧႝ඲ᡏޑཱུؕ܈໣ཱུಔӝΑ΋ӣ௤ႝߔΔ Ҕаׯ๓ႝၡೲࡋΖࣁΑၲډ೭ኬࢎᄬΔךॺӃԵቾკ4/5ޑ᠄ௗԄ )dbtdbef*Ӆྍཱུႝၡ)dpnnpo!tpvsdf!tubhf*ΙךॺஒCX ۓကҗ࿯

ᗺ܌ـޑ܌Ԗ!

კ3.4 ᠄ௗԄӅྍཱུܫεᏔ

ႝ৒ॶΔவಃ΋ભ N2ܫεᏔёаޔௗளډႝᓸቚ੻ᆶཱུᗺϩձࣁ;!

1 1

|A_v| g R_m _D !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)4/23*!!

, ( 1 )

p x D X

w R C !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)4/24*!

ӧ N3ΨԖӝ౛ޑႝᓸቚ੻ՠ٠όቹៜ᏾ᡏႝၡӧԜό၁уԵໆΖё аࡐܴᡉޑவ^X ࿯ᗺёаـډΔڙډCGS2ǵCGD2ԯୌਏᔈޑቹៜ཮ज़ ڋՐ᏾ᡏႝၡޑᓎቨΖ!

V

M

₁

^V

^out

M

R

^R

^D²

V

C

X

ႝၡԖࡐख़ाޑᓬᗺΔёа٬Ҕᓎ౗ៜᔈϩ݋᛾ܴΔӧ࿯ᗺ Y ᆶ࿯

!!!!!!!!!!!!!!!!კ4/7!Difssz!Ippqfs ܫεᏔޑ฻ਏႝၡ!

לቹៜΨۘ҂ԵໆΖࣁΑ׳ᆒዴΑှཱུᗺ܌ڙޑਏᔈΔԵቾკ4/7ޑ

ᒡрႝᓸ Z ࿯ᗺޑႝࢬ;!

კ4/8!уΕྍཱུႝߔޑ Difssz!Ippqfs ܫεᏔ)b*ႝၡ)c*฻ਏλߞဦ!

வკ4/8ύڙډቚуӣ௤ႝߔRsΔႝᓸቚ੻फ़ࣁ ¹ ¹ )4/24*Δ׎ԋཱུᗺۯ՜ǵႝၡᓎቨ܎εΔӢԜ Difssz`!Ippqfs!܌௦ Ҕޑ႔ཱུډཱུؕ٠.٠ӣ௤ܫεᐒڋ፾ӝуΕႝၡ೛ीύаౢғቨ

V g 3

ሡाճҔѰѓӚ΋ಔޑ M.Uzqf!Nbudijoh!ၲԋߔᫌޑϰଛǶ೯த M.Uzqf!Nbudijoh!ޑႝၡ՞Αόλ JD य़ᑈǶќѦໆෳ΢ᗋሡाѦௗ

΋ঁ izcsje ޑ CbmvoǴ!٬ளໆෳ΢׳ፄᚇǶ!

ӧკ 4/21 ύǴӧᒡΕᆄ Usbotdfoefodf!Tubhf ύǴႝ඲ᡏ R2ǵR3ǵ R4 ᄬԋ΋ Tjohmf!foefe!up.!Ejggfsfoujbm ϐႝၡ-R3 ࣁӅ৔ཱུ

)DF*Ǵځቚ੻ࣁ.hn+WjgǴR2ǵR3 ࣁ΋ Dvssfou!NjsspsǴR4 ࣁӅ୷

ཱུ)DC*Ǵځቚ੻ࣁ,hn+WsgǴځҞޑࢂᡣ SG ૻဦ࿶җ R2)DC*ک R3)DF*

ᡂԋ΋҅΋ॄϐૻဦǴӢԜໆෳ΢ஒόሡा Sbu.Sbdf ႝၡ଺ Tjohmf!

foefe!up!Ejggfsfoujbm ᙯඤǴӢԜёа଺΋ၨቨᓎޑૻဦໆෳǶ٠ ᙖҗ 20hn⁴ǵ20hn²کႝߔ S2ǵS3 ၲډᒡΕߔלϰଛϐਏ݀-ӵԜё ᡣᒡΕϰଛႝၡό཮՞ϼεϐय़ᑈǴ٠ёၲډ΋ቨᓎϰଛǶ!

4/6!৔ᓎቨᓎషᓎᏔ೛ी

4/6/2!٬Ҕ Difssz`Ippqfs מೌϐషᓎᏔ!!

!!!!ҁႝၡ࿶җ୯ৎ඲Тس಍೛ीύЈΔ٬Ҕ TjHf!1/46vn!CjDNPT ᇙำΔ೛ी΋่ӝ Hjmcfsu షᓎᏔᆶ Difssz!Ippqfs ܫεמೌΔᏹ բӧ21/8HI{ ৔ᓎషᓎ඲ТΔᒡрጠکႝ৒ࣁ6qGΔᒡр cvggfs ୃᓸ

ႝߔҗ΢ԶΠϩձࣁ3/6l:ǵ2/6l:ǵ!3l:Ƕӵკ4/22܌ҢΖʳ

IF

კ4/22!٬Ҕ Difssz!`Ippqfs מೌϐషᓎᏔ!!!

!!ӧ৔ᓎᒡΕૻဦᆄΔૻဦ࿶җႝᓸᙯႝࢬޑ༾షᓎᏔࡕΔ຾Εӓ դ੝షᓎᏔΖᙖҗ MP ૻဦޑϪඤᆶషᓎΔᒡрૻဦᒡΕ Difssz!

`Ippqfs ܫεᐒڋΔࣁ٬ೲࡋуזΔӧ Difssz!`Ippqfs ႝ඲ᡏܫय़ ௦Ҕ Ebsmjoupo!qbjs аගଯᓎቨ)ӵკ4/23*Δനࡕᒡрৡ୏ૻဦ࿶

җӅ৔ཱུ)dpnnpo!fnjuufs*ᆶӅ໣ཱུ)dpnnpo!dpmmfdups*!ᒡр cvggfs ࢎᄬΔஒύᓎૻဦൂᆄᒡрΖ!

!!!!!!!!!!!!!!!!!!!!კ4/23!Ebsmjoupo!qbjs!

!!!!!!!!!!!!!!!!!კΜΟ!ejf!qipup)1/86nn!Y!1/86nn*!

˩˼́ ˤ˄ ˩̂̈̇

ˤ˅

E

1 2

E # E E

DC Bias

LO Input

RF Input

IF Output

!!კ4/25!!ᙯඤቚ੻!W/T!MP!Qpxfs)SG;21/8H0.44/7eCn!MP;:/86H!*!

RF:10.7G/-33.6dBm LO:9.75G IF:950MHz

Conversion Gain(dB)

LO Power(dBm)

-35 -30 -25 -20 -15 -10 -5 0

RF Power(dB)

RF Power:-18dBm Pout:-13dBm RF:10.7G LO:9.75G/4dBm IF:950MHz

!კ4/27!ᙯඤቚ੻!W/T!SG!ᓎቨ)SG;.41eCn!MP;5eCn!*!

!!!კ4/28!ᙯඤቚ੻!W/T!JG ᓎቨ!)SG;7/28/9H0.39/28eCn*!!!!!!!!!!!!!!

RF:9.2~12.5G/-30dBm LO:8.25~11.55G/4dBm Fixed IF:950MHz

Conversion Gain(dB)

RF Frequency(GHz)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5

RF:9.8~12.8GHz/-30dBm Fixed LO:9.75GHz/4dBm

Conversion gain(dB)

IF Frequency(dBm)

!!!!!!!!!!!!!!!!!!!კ4/29!!MP.JGޑ႖ᚆࡋ!

RF:-30dBm LO:4dBm IF:950MHz

LO to IF Isolation(dB)

LO frequency(GHz)

8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13.0

RF:-30dBm LO:4dBm IF:950MHz

RF to IF Isolation(dB)

RF frequency(GHz)

RF:-30dBm LO:4dBm IF:950MHz

LO to RF Isolation(dB)

LO frequency(GHz)

0 5 10 15 20

კ4/33!!JG ᒡрᆄޑߔלϰଛ!

..่݀ᆶ૸ፕ..!

!!!ႝၡӧ༾షᓎᏔޑࢎᄬΠӧ331HI{ Ԗ๱եܭ.21eC ޑቨᓎᒡ ΕΙӧᒡрϰଛБय़Δᗨฅύᓎ܌ाޑᓎ౗2HI{ ᒡрϰଛѝԖ.9eCΔ ՠҗܭς࿶फ़Կեܭ༾ݢᓎࢤΔჹႝၡቹៜόεΖӧ MP ᒡΕф౗5eCn ਔԖനεᙯඤቚ੻7eCΔቚ੻߄౜٠҂ӵႣයΔচӢӧܭ TjHf!1/46vn ᇙำୃ౽εѦΔଯᓎႝၡӧཞ઻εޑ୷݈)tjmjdpo!tvctusbuf*ύҭ

཮ቹៜځ੝܄ޑ߄౜Δ৒ܰ೷ԋᅅႝࢬ௃׎ΖӚঁ୵ᆶ୵໔ޑ႖ᚆ ࡋӧᏹբᓎ౗ࣣԖեܭ.41eCΖႝၡᓎቨБय़Δڰۓ MP ᓎ౗ࣁ

:/86HI{ΔJG ᓎቨ߈՟2HI{Ιڰۓ MP ᓎ౗:/86HI{Ǵໆෳளډ SG ᆄ!

:23/8HI{ ଯࡋቨᓎΔԖਏޑ߄౜р Difssz!`Ippqfs ᓬ౦ޑቨᓎ੝

܄Ιךॺஒ٬Ҕଯߔॶ߯ኧޑ୷݈Δӆࡋख़ཥ೛ीႝၡΔஒӧΠ΋

࿯բ૸ፕΖ!

!

0 5 10 15 20

-20 -15 -10 -5 0

IF Input

S22(dB)

Frequency(GHz)

4/6/3!٬Ҕ JoHbQ0HbBt ᇙำ Difssz`Ippqfs מೌϐషᓎᏔ

!!!!!೭ԛჴ౜ޑႝၡ௦Ҕଯߔॶ୷݈ޑ JoHbQ0HbBt ᇙำΔکკΜ 4/22ޑৡ౦ନΑᇙำόӕѦΔךॺගଯΑᏹբᓎ౗21/8HI{Δ٠Ъ٠ .٠ӣ௤ႝ඲ᡏ΢Δ҂௦Ҕ Ebsmjoupo!QbjsΔаँᡉ Difssz!`Ippqfs ᐒڋޑਏૈΔᒡрጠکႝ৒ࣁ2qGΔᒡр cvggfs ୃᓸႝߔҗ΢ԶΠ ϩձࣁ2/9l^:ǵ3/6l^:ǵ!4/9l^:᏾ᡏࢎᄬӵკ4/34Ƕ!

IF

!!!!!!!!!!!კ4/34!٬Ҕ Difssz!`Ippqfs מೌϐషᓎᏔ!

!!!!!!!!!!!!!!!კ4/35!Ejf!Qipup!)2nn!Y!2nn*!

LO Input

DC Bias

IF Output

RF Input

RF:10.7GHz/-33.6dBm LO:9.75GHz IF:950MHz

Conversion gain(dB)

LO Power(dBm)

-35 -30 -25 -20 -15 -10 -5 0

RF Power(dBm)

RF Power:-25dBm Pout:2dBm RF:10.7GHz LO:9.75GHz/-25dBm IF:950MHz

Fixed IF:950MHz

RF:9.2~12.5GHz/-30dBm LO:8.25~11.55G/-25dBm

Conversion Gain(dB)

RF frequency(GHz)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5

RF:9.8~12.8GHz/-30dBm Fixed LO:9.7GHz/-25dBm

Conversion gain(dB)

IF frequency(GHz)

RF:-30dBm LO:-25dBm IF:950MHz

LO to IF Isolation(dB)

LO frequency(GHz)

8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13.0

RF:-30dBm LO:-25dBm

RF to IF Isolation(dB)

RF frequency(GHz)

კ4/42!MP.SG ႖ᚆࡋ!

RF:-30dBm LO:-25dBm IF:950MHz

LO to RF Isolation

LO frequency(GHz)

0 5 10 15 20

RF input

S11(dB)

Frequency(GHz)

კ4/44!!!JG ᒡрߔלϰଛ!

..่݀ᆶ૸ፕ..!

வໆෳ่݀ளޕӧᒡΕ MP!Qpxfs ฻ܭ.5eCn1eCn ਔΔԖ๱ന٫ޑᙯ ඤቚ੻38eCΖёаᡉـډଯᓎᏹբਔ JoHbQ0HbBt ୷݈ଯߔॶቹៜΔ

٬ளႝၡᙯඤቚ੻৖៛рٰΙڙڋܭໆෳӧ21HI{ а΢ޑቹៜΔQ2eC ӧᒡΕ SG!Qpxfs ࣁ.34eCnΔጕ܄ࡋัό౛གྷǹӧ Difssz!`Ippqfs ᐒڋБय़Δӧڰۓ MP ᓎ౗:/86HI{ ਔΔёаளډຬၸ2/6IH{ ޑ JG ᓎቨΖԵໆڰۓ JG ᓎ౗:61NI{ ਔǴᡂϯ MP ᆶ SG ޑᓎ౗Δёаளډ SG ᓎቨຬၸ4HI{ ޑଯೲቨᓎΔӆԛᡍ᛾ Difssz`Ippqfs ܫεቨᓎჴ ᡍ܄Ƕӧ႖ᚆࡋБय़ΔMP ډ JG ႖ᚆࡋӧ:/8HI{ ࣁ.41eCǹSG ډ JG ႖ᚆࡋӧ21/8HI{ ࣁ.26eCΔᔈ၀ࢂڙډ Difssz`Ippqfs ቨᓎܫε٠ Ъஒᅅႝ΋ଆܫε่݀ǹMP ډ SG ႖ᚆࡋӧ:/86HI{ ࣁ.56eCΖᒡΕǵ ᒡрߔלϰଛБय़Δӧᏹբᓎ౗ࣣեܭ.21eCΖ!

!

0 5 10 15 20

-25 -20 -15 -10 -5 0

IF output

S22(dB)

Frequency(GHz)

4/6/4!!٬Ҕ Difssz!`Ippqfs ൂᆄᒡрϐషᓎᏔ

!!!!Ԝႝၡ TjHf!1/46vn!CjDNPT ่ӝ༾షᓎᏔǵDifssz!!Ippqfs ܫ εᐒڋаϷ Ebsmjoupo!qbjsΔ೛ी΋ൂᆄᒡрషᓎᏔΖSG ᒡΕૻဦ

࿶җ༾షᓎᏔ׎ԋৡ୏ૻဦΔճҔ Hjmcfsu!dfmm җ MP ٿᆄ଺Ϫඤ షᓎ୏բΔషᓎࡕޑૻဦᙖҗႝࢬ᜔ njssps ౢғႝࢬӝԋΔᒡрډ Difssz!!Ippqfs ܫεᏔΔ࿶ၸ٠.٠ӣ௤ႝࢬᙯႝᓸΔനࡕڗளᒡр ύᓎૻဦǶႝၡࢎᄬӵკ4/45܌ҢΖ!

!!!!კ4/45!٬Ҕႝࢬ᜔ॄၩϐ Difssz!`Ippqfs షᓎᏔ!

კ4/46!Ejf!Qipup!)2nn!Y!2nn*!

MP!joqvu!

SG!joqvu

JG!pvuqvu!

ED!cjbt!

..ໆෳ่݀ȋ!

RF:7GHz/-38.3dBm LO:6GHz IF:1GHz

Conversion Gain(dB)

LO Power(dBm)

-40 -35 -30 -25 -20 -15 -10 -5

RF Power(dBm)

RF Power:-12dBm Pout:-7dBm RF:7GHz LO:6GHz/0.87dBm IF:1GHz

RF:5~9GHz-28.3dBm LO:4~8GHz/0.87dBm Fixed:IF:1GHz

Conversion Gain(dB)

RF Frequency(GHz)

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0

RF:6~8GHz/-28.3dBm LO:0.1~1.8GHz Fixed LO:6GHz/0.87dBm

Conversion Gain(dB)

IF Frequency(GHz)

კ4/51!MP.JG ႖ᚆࡋ!

კ4/52!SG.JG ႖ᚆࡋ!

RF:-28.3dBm LO:0.87dBm IF:1GHz

LO to IF Isolation

RF Frequency(GHz)

4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5

RF:28.3dBm LO:0.87dBm IF:1GHz

RF to IF Isolation

RF Frequency(GHz)

კ4/53!MP.JG ႖ᚆࡋ!

RF:-28.3dBm LO:0.87dBm IF:1GHz

LO to RF Isolation(dB)

LO Frequency(GHz)

0 5 10 15 20

კ4/55!JG ᒡрߔלϰଛ!

..่݀ᆶ૸ፕ..!

ᒡΕᆶᒡрߔלࣣԖၲډؼӳޑቨᓎϰଛΔӧ MP!qpxfs ᒡΕф౗

1/98eCn ਔԖനӳޑᙯඤቚ੻6/6eCΔ٬Ҕႝࢬ᜔у΢ Difssz!Ippqfs ܫεᐒڋޑ Dpnnpo!npef!gffe!cbdl ёаԖਏуε SG ᓎቨऊ4HI{Ǵ ՠ JG ᒡрᓎቨ٠҂Ԗਏ৖౜Ǵ!ӧӚ୵໔ޑ႖ᚆࡋΔᏹբӧ7HI{ ࣣ Ԗեܭ41eCΔ಄ӝሡ؃Ƕ!

0 5 10 15 20

-20 -15 -10 -5 0

IF output

S22(dB)

Frequency(GHz)

ಃѤക

ᡂᓸᏔጠӝϐషᓎᏔ೛ी

4.1 ߻ق

! ӧԜஒ௦Ҕ HDU!3/1vn!JoHbq0HbBT!ICU ٿቫߎឦᇙำ੝܄Δ

ගр௦ҔჹᆀᡂᓸᏔ)Tznnfusjd!Usbotgpsnfs*ᆶӓդ੝షᓎᏔ่ӝ!!!!!!!

೛ी΋եᓸफ़ᏹբޑ 4-6GHz ৔ᓎషᓎᏔ඲ТǶ!

4.2 ᡂᓸᏔᙁϟ

ᡂᓸᏔதҔܭф౗ᙯඤ(qpxfs!usbotgfs)ǵႝᓸᆶႝࢬᙯඤ (wpmubhf!boe!dvssfou!tdbmjoh)ǵޔࢬ႖ᚆ(ed!jtpmbujpo)ǹԶӧ৔

ᓎႝၡύΔᡂᓸЬाёҔܭ)2*ߔלᙯඤ)jnqfebodf!usbotgpsnfs*Δ

ֹٰԋႝၡޑߔלϰଛ)jnqfebodf!nbudijoh*ΔԖਏޑஒനεޑቚ

੻܈ф౗໺ଌрѐΔ)3*ճҔᡂᓸᏔጠӝа෧Ͽႝ඲ᡏ୴᠄ޑ٬ҔΔ

ٰჴ౜եᓸᏹբޑ੝܄Δ)4*ӧႝၡس಍୔༧ύΔሡाൂᆄ)tjohmf*

کৡ୏)ejggfsfoujbm*ૻဦޑᙯඤΔԜਔ൩ሡाҔډ cbmvo)cbmbodf!

up!vocbmbodf*ΔѦௗޑ cbmvo ሡाᚐѦԋҁΔճҔٿঁᡂᓸᏔಔԋ ޑ cbmvo ё৒ܰޑ᏾ӝӧ඲ТύΖʳ

4.2.1౛གྷᡂᓸᏔ

კ5/2ࣁ౛གྷޑᡂᓸᏔ่ᄬΔᏤᅶ߯ኧคጁε)qfsnfbcjmjuz!

P f*ΔਥᏵݤ܎ಃۓࡓ)Gbsbebzt!mbx*;!

1 1

v N d dt

)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/2*!!!!!

2 2

v N d dt

)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/3*!

)ࣁ౛གྷᡂᓸᏔ܌ౢғޑᕴᅶ೯ໆ() ) )1 2*Δ٠Ъҗ)5/2*ǵ)5/3*

ёளΚ

1 1

2 2

v N

v N n )5/4*!!

౛གྷᡂᓸᏔޑύΔၠၸጕ୮΋(coil 1)Ϸጕ୮Β(coil 2)ϐႝᓸޑКॶ฻

ܭшኧϐКΖ

კ5/2)b*!ᡂᓸᏔ่ᄬ!!!!!!!!!!!!!!!!!!!!!!!!კ5/2)c*ᡂᓸᏔ಄ဦኳࠠ!

ஒკ5/2ࢎᄬ฻ਏԋᅶၡ଑୮)ӵკ5/3*ёаளډᜪКܭ!࢒

׆಻ϻ)Ljsdipggȷt!mbx*ႝᓸۓࡓޑ଑୮ϦԄ)5/5*;!

2 2 1 1

N i N i )!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/5*!

)

N i

2 2

N i

1 1

კ4.2 ౛གྷᡂᓸᏔޑ฻ਏᅶၡ

ж߄Αᅶၡύޑᅶߔ) ^l PA

Δ^AࣁᡂᓸᏔࢬၸᅶ೯ޑᄒय़ᑈΔ^lᅶ ၡࢬၸၡ৩ߏ*Δ྽^P ^fਔ>1Ǵ)5/5*ள;!

2 1

1 2

i N

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/6*!

)1 )₂

² v v1

i1 i₂

i

₂

v 1 _v

₂

౛གྷᡂᓸᏔޑጕ୮΋(coil 1)ᆶጕ୮Β(coil 2)ϣޑॄႝࢬКॶϸ

ideal transformer

ޑጕ୮΋)dpjm!2*Ιႝࢬⁱ₂ࢬΕшኧ^N₂ޑጕ୮Β)dpjm!3*Ζጕ୮΋

ڙډⁱ₁܌ౢғޑᅶ೯ໆࣁI₁₁Δጕ୮Βڙډⁱ₂܌ౢғޑᅶ೯ໆࣁI₂₂ˍʳ

11 21 L1

I I I ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ !!!!!!!!!!!!!!!!!!!!!!!!!)5/9*ʳ

22 12 L2

I I I ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ ʳ )5/:*!

ځύጕ୮΋ࢬ࿶ጕ୮Β܌ౢғޑᅶ೯ໆI₂₁Δጕ୮Βࢬ࿶ጕ୮΋܌ౢ

ғޑᅶ೯ໆI₁₂ǹI_L₁ࣁጕ୮΋ޑᅅᅶ೯ໆ)mfblbhf!gmvy*ΔӕኬޑI_L₂ ࣁጕ୮Βޑᅅᅶ೯ໆΖʳ

i

v

^v

I12

I21

IL _I^L²

კ4.4 ჴሞᡂᓸᏔޑᅶ೯ໆҢཀკ

ጕ୮΋ޑᅶ೯ໆI₁ࣁႝࢬⁱ₁аϷႝࢬⁱ₂܌ౢғᅶ೯ໆЪ࿶ၸጕ୮

΋;!

1 11 12

I I I !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/21*!

ጕ୮΋ޑᕴᅶ೯ໆO1ࣁጕ୮΋ޑшኧN1४΢ጕ୮΋ᅶ೯ໆI1;!

1 N1 1 N1 11 N1 12

O I I

I !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/22*!

ӕ౛ჹܭࢬ࿶ጕ୮Βޑᅶ೯ໆI2ᆶᕴᅶ೯ໆO2;!

2 22 21

I I I !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/23*!

2 N2 2 N2 22 N2 21

O I I I )5/24*!

ӧጕ୮΋ύӢࣁႝࢬⁱ₁܌ౢғޑᅶ೯ໆI₁₁Δ܌аI₁₁کⁱ₁ԋ҅К;

1 11 1 1

NI L i !!)5/25*!

L1ࢂႝࢬⁱ₁ޑКٯதኧΔΨ൩ࢂጕ୮΋ޑԾག)tfmg!joevdubodf*Δ Զጕ୮΋Ӣႝࢬⁱ₂܌ౢғޑᅶ೯ໆI₁₂Δ҅Кܭⁱ₂;!

1 12 12 2

NI rM i !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/26*!

ځύ^M₁₂ࣁጕ୮΋ჹⁱ₂ޑКٯதኧΔךॺᆀϐࣁጕ୮΋ޑϕག)nvuvbm!

joevdubodf*Δ҅ॄဦѝࢂႝࢬБӛޑۓကୢᚒԶςΖ!

࣬ӕӦΔӢࣁႝࢬi1ǵi2ࢬ࿶ጕ୮Βύౢғޑᅶ೯ໆI2ҭϕ࣬ԋКٯ தኧᜢ߯;!

2 22 2 2

N I L i !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/27*!

2 21 21 1

N I rM i !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/28*!

L2ࢂጕ୮ΒޑԾགΙM21ࢂጕ୮ΒޑϕགΖёаவႝᅶ౛ፕёаளޕ

12 21

M M M Ζʳ

ӧ΢य़ޑ௢ᏤύΔךॺёаख़ཥᔠຎݤ܎ಃۓࡓ)Gbsbebzt!

mbx*;!

1 11 12 1 2

1 1 1 1

( )

d d di di

N N L M

dt dt dt dt

I I I

X !!!!!!!!!!!!!!!!!!!!!!)5/29*!

2 22 21 2 1

2 2 2 2

( )

d d di di

N N L M

dt dt dt dt

I I I

X )5/2:*!

ӧᡂᓸᏔጕ୮ύǴࣁ୔ϩБߡǴךॺதஒጕ୮΋ǵጕ୮ΒǴϩձۓ ကࣁЬጕ୮)qsjnbsz!dpjm*ǵୋጕ୮)tfdpoebsz!dpjm*ǴӢԜख़ཥ!

ۓကv1 vpǵv2 vSǵL1 LpаϷL2 LSǴёளډ฻ਏޑͮႝၡኳࠠӵ კϖ;!

კ4.5 ᡂᓸᏔ฻ਏTኳࠠ

ӧკ4.5ύࢂ΋ঁനᙁϯޑᡂᓸᏔҢཀკΔёࢂࠅ٠҂߄ҢрᡂᓸᏔ ჴሞޑᅶ೯ໆጠӝၸำΔԶጠӝ߯ኧ^K)Dpvqmjoh!Gbdups!^K *ࢂղᘐ ᡂᓸᏔޑጕ୮܌ౢғޑᅶ೯ໆࢂԖ࿶ၸќ΋ጕ୮ޑख़ाୖኧ;!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/31*!!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/32*!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/33*!

வ^KύསҢ๱Ьጕ୮Ӣႝࢬi1܌ౢғޑᅶ೯ໆI₁₁Δ཮ԖӭϿޑКٯ࿶

җୋጕ୮ԋࣁI21Ζ྽ᡂᓸᏔ౛གྷ௃ݩਔΔi1ౢғޑᅶ೯ໆI₁₁ӄ೽ᙯ౽ ԋI21Δi2ౢғޑᅶ೯ໆI22Δӄ೽ᙯඤډI12Δջж߄๱K ¹ΙԶ੿ჴޑ

௃ݩΔ཮ڙډᅅႝ)mfblbhf!dvssfou*ǵߔל૰෧)pinjd!mptt*܈ࢂ

୷݈஌ғ)tvctusbuf!qbsbnfufst*฻ቹៜΔ٬ளᡂᓸᏔߚ౛གྷΔ^{K d}¹Ζʳ

!!!!!ᡣךॺаૈໆޑᢀᗺٰ௖૸mfblbhfޑਏᔈΖ΋ঁᡂᓸᏔޑᕴૈ

ໆࢂႝࢬi1ӧЬጕ୮ᓯӸޑૈໆᆶႝࢬi2ӧୋጕ୮ᓯӸޑૈໆаϷ࣬

ϕϐ໔ጠکૈໆޑᜢ߯ಔӝǹךॺۓကጕ୮ႝࢬࣣࢬӛϣΔЬጕ୮ᆶ

ୋጕ୮ޑᕓਔф౗)jotuboubofpvt!qpxfs!Q*ϩձࣁ;!

M

L

M ^L

^M

12 21 21 12

11 22 p S p S

M M K M

L L L L

I I I I

0 d K d 1

0dM d L L_{p S}

1 2

!!!!!!!!!!კ5/7!х֖mfblbhf!joevdubodf!ޑᡂᓸᏔ฻ਏႝၡ!

ӧϐ߻܌ගډკ5/6ޑᙁϯ฻ਏ^TኳࠠΔ٣ჴ΢ҭёаவკ5/7฻ਏډ

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)5/38*!

L K L ΔԶୋጕ୮ޑmfblbhf!joevdubodfς࿶ֹӄᙯ౽ԿЬጕ୮Ι ᡂᓸᏔ฻ਏႝၡӵ5/8ΔॶளݙཀޑࢂԜਔЬጕ୮ᆶୋጕ୮ޑКٯத

!!!!!!!!!!!!!კ5/8!mfblbhf!ӄ೽ӧЬጕ୮ޑᡂᓸᏔ฻ਏႝၡ!

11_L (1 ) _p _P _P

ךॺ٩ᙑёа؃рკ5/8ޑ^{Z matrix};!

ךॺஒໆෳ܌ளډTୖኧᙯඤԋ[ୖኧΔ٠ЪਥᏵ߻य़ჹܭᡂᓸᏔϩ݋ Rp(ohm) Rs(ohm)

Frequency(GHz)

ჹܭૈໆ઻ཞԖᝄख़ޑቹៜǶ!

Transmission Coefficient S21(dB)

Simulation Measurement

!

!!

კ5/23!!ኳᔕᆶໆෳޑጠӝ߯ኧL!)Dpvqmjoh!Gbdups*!

ךॺᙖҗа΢ޑᡂᓸᏔޑໆෳ่݀ᆶϐ߻ᡂᓸᏔϩ݋ёаࡌҥ

฻ਏޑᡂᓸᏔኳࠠΔӵკ5/24܌ҢǶ!

კ5/24!ჹᆀԄᡂᓸᏔ฻ਏႝၡკ!

ԶԜኳࠠҭёаᙯඤځдޑS.npefmኳࠠǶᜢܭ׳၁ಒ೛ीᆶᡂᓸᏔ ޑෳ၂ᗖϣ৒ёୖԵ\8^Ζ!

!!!

ᡂᓸᏔጠӝషᓎᏔޑ᏾ᡏႝၡࢎᄬӵკ5/25ΖӧSGᆄΔૻဦᒡΕ ܭ೛ीޑᡂᓸᏔጠӝౢғৡ୏ૻဦΔ࿶җӓդ੝షᓎᏔషᓎࡕΔଛӝ

๱ᡂᓸᏔቨᓎ੝܄у΢Difssz!IppqfsܫεᏔޑଯᓎቨܫεמೌΔၲ

ډଯೲሡ؃ࡕΔനࡕ௦ҔӅ໣ཱུ)dpnnpo!dpmmfdups*Ӆ৔ཱུ)dpnnpo!

M

L

M L

M

R

^R

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 (Coupling Factor)

Simulation Measurement

fnjuufs*բࣁᒡрᆄޑcvggfsΔаճܭൂᆄᒡр෧Ͽय़ᑈϩթΔᒡр ጠکႝ৒ࣁ4qGΔᒡрcvggfsୃᓸႝߔҗ΢ԶΠϩձࣁ1/56l:ǵ 2/:l^:ǵ!2/56l^:Ƕ!!

V

!

კ5/25!!ᡂᓸᏔጠӝషᓎᏔ᏾ᡏႝၡ!!

!

კ5/26!ᡂᓸᏔጠӝషᓎᏔEjf!Qipup)2nnY2nn*!!

IF Output DC Bias

LO Input

RF Input

!

RF:5.2GHz/-36dBm LO:5.17GHz IF:30MHz

Conversion Gain(dB)

LO power(dBm)

-45 -40 -35 -30 -25 -20 -15 -10 -5 0 5 10

RF Power(dBm)

RF Power:-17dBm Pout:-3dBm

RF:5.2GHz LO:5.17GHz/-7dBm IF:30MHz

RF:5.2~7.7GHz/-18dBm IF:0.03~2.53GHz Fixed LO:5.17GHz/-10dBm

Conversion Gain(dB)

RF Frequency(GHz)

4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6

Fixed IF:0.03GHz

RF:4.9~5.5GHz/-18dBm LO:4.87~5.47GHz/-10dBm

Conversion Gain(dB)

RF Frequency(GHz)

!!!!!!!!!!!!!!!კ5/32!!SG.JGޑ႖ᚆࡋ!

!

4 RF:4.9~5.5GHz/-18dBm LO:4.87~5.47GHz/-10dBm Fixed IF:0.03GHz

RF to IF Isolation(dB)

RF Frequency(GHz)

-45 -40 -35 -30 -25 -20 -15 -10 -5 0 5 10

Output Power(dBm)

RF Power(dBm)

!

RF:4.9~5.5GHz/-18dBm LO:4.87~5.47GHz/-10dBm Fixed IF:950MHz (with RF)

LO to IF Isolation(dB)

LO frequency(GHz)

4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6

RF:4.9~5.5GHz/-18dBm LO:4.87~5.47GHz/-10dBm

LO to RF Isolation(dB)

LO frequency(GHz)

..่݀ᆶ૸ፕ..!

!!!!ҁԛႝၡӧSGᆄሡ؃ቨᓎᡂᓸᏔጠӝᒡΕ߻ගΠΔаठܭคݤၲ

ډ ࣬ ྽ ӳ ޑ ᒡ Ε ߔ ל ϰ ଛ Δ ՠ ё а ـ ډ ӧ ᡂ ᓸ Ꮤ ࢎ ᄬ ᆶ Difssz.IppqfsܫεᏔࢎᄬ่ӝΠΔ٠ЪଛӝDD.DF೭ኬೲࡋ୼זޑᒡ рભΔёаၲډ࣬྽ᓬ౦ޑᓎቨ৖ۯΔԶЪ٬ҔᡂᓸᏔጠӝڗж Njdsp.njyfsёаԖਏޑჴ౜եႝᓸᏹբΔໆෳޑф౗੃઻61nxᇻե ܭ΢΋കDifssz`IppqfsޑషᓎᏔ೛ीΖӧSGቨᓎёаၲډ3HI{ޑቨ ᓎΔ٠Ъӧௗ߈7/6HI{ᙯඤቚ੻༾༾΢ඦΔΏࢂӢܭᡂᓸᏔޑLॶϲ ଯΔጠӝໆቚуጔࡺΔԜႝၡ٩ᙑӸӧޑࢂၨৡޑjtpmbujpoΔӢࣁ Difssz.IppqfsࢂቨᓎܫεᏔΔჹܭᒡрૻဦᒋݢ໨ǵҬϕፓᡂ໨ค ݤԖਏᘠନΔӢԜ႖ᚆࡋόࣗ౛གྷΔӵ݀Ѧуӝ፾ޑ೏୏ϡҹᔈёа Ԗਏޑׯ๓႖ᚆࡋΖ!

ಃϖക

٬Ҕ LC combiner ϐϲᓎᏔ

6/2!߻ق!

ӧ৔ᓎᑈᡏႝၡύ Δႝགᆶႝ৒த٬Ҕܭф౗ૈໆᓯӸǵMD ᓎ౗Ӆਁǵ৔ᓎୃᓸႝၡ)SG!diplf*ΔߔלϰଛǾ฻ႝၡΖӧԜ΋

ക࿯ךॺஒගр΋٬Ҕႝགǵႝ৒ಔӝޑႝࢬӝԋᏔΔஒ SG ᒡрႝ

ࢬᙯᡂԋൂᆄמೌΔٰჴ౜ൂᆄᒡрޑϲᓎ)Vq.dpowfstjpo*ႝၡΖ!

6/3!٬ MD!dpncjofs291 ࡋጠӝϐϲᓎషᓎᏔ!

!!!

ӧ߻य़ޑക࿯ΔךॺගрΑቨᓎफ़ᓎᏔޑ೛ीΖӧԜஒ่ӝႝࢬ ӝԋᏔᆶ mvnqfe!sbu.sbdf ಔӝΔٰჴ౜΋21HI{ ϲᓎᏔΖ!

6/3/2໣ᕴϡҹϩݢᏔ!

ӧಃΒകךॺϟಏၸதـޑᕉࠠંତ(ӵკ5.1)Δёаӧٿᒡрᆄ ளډ291ࡋ࣬ৡޑѤ୵ᆛၡΖejtusjcvufe!sbu.sbdf தـᇙբܭ QDC

݈΢Δᓎࢤӭӧ26HI{ǹՠӧ SGJD ೛ी΢Δejtusjcvufe ໺ᒡጕႝ

ၡ཮՞Ᏽၸεय़ᑈ٠ό಄ӝԋҁਏ੻ǴӢԜѸ໪٬Ҕ໣ᕴϡҹΔѝ

໪٬Ҕࡐλޑय़ᑈ൩ёֹԋ Sbu.SbdfΖ!

კ6/2!ᕉࠠ sbu.sbdf ᆶ tdbuufsjoh!nbusjy!!

!!!კ6/3ࢂ٬Ҕ ejtusjcvufe ໺ᒡጕޑ sbu.sbdf ᙁϯკΔёа௦Ҕ!

180

0 1 1 0

1 0 0 1

S j

1 0 0 1

0 1 1 0

ª º

« »

¬ ¼

კ5.2 Distributed rat-race S-ᆛၡᆶT-ᆛၡޑ໣ᕴϡҹڗжΔӵკ5.3܌ҢΖ

კ5.3 ໺಍Ԅ໣ᕴϡҹ rat race

კ 6/4 ύᗨฅёـO^{/ 4}௦Ҕႝགǵႝ৒ڗжǴՠ^{3 / 4}O ٬ҔΑ^T. ᆛၡӭঁႝ৒ႝགڗжǴϡҹၸӭ٩ᙑ๱՞Ᏽεໆय़ᑈǶӢԜஒ^{3 / 4}O

ׯҔ͘.ofuxpsl ڗжǴౢғ MǵD ཮Ӆਁϕ࣬੃௞ǴК໺಍Ԅ sbu!sbdf ϿΑ 2 ঁႝགǵ4 ঁႝ৒Ǵय़ᑈёаᕭλࡐӭ\9^Ƕӵკ 6/5 ܌ҢΖ!

O / 4

3 / 4 O

2

C C2 C=23.85 fF Port

L=1.101 nH R

R=2.108 Ohm C

C1 C=26.08 fF

C Cc C=11.58 fF

კ5.4 ᙁϯԄ໣ᕴϡҹ rat race

᏾ᡏ sbu.sbdf πբᓎ౗ӧ:/8HI{Δ௦Ҕ BET ኳᔕ)ӵკ6/8*;!

1

2

Port C=0.42 pF

C C3 C=0.42 pF

C C1 C=0.207 pF

L_S_3 L_S_3 X2

X3 L_S_3

freq, GHz

dB(S(4,4))dB(ratrace_9_7G_high_per..S(4,4))dB(ratrace_9_7G..S(4,4))

6 7 8 9 10 11 12 13 14

freq, GHz

dB(S(2,4))dB(S(3,4))dB(ratrace_9_7G..S(3,4))dB(ratrace_9_7G..S(2,4))dB(ratrace_9_7G_high_per..S(3,4))dB(ratrace_9_7G_high_per..S(2,4))

5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.511.0 11.512.0 12.513.0 13.5 14.014.5

freq, GHz

Phase_diffPhase_diff1Phase_diff2

6 7 8 9 10 11 12 13 14

freq, GHz

phase(S(2,4))phase(S(3,4))phase(ratrace_9_7G..S(2,4))phase(ratrace_9_7G..S(3,4))phase(ratrace_9_7G_high_per..S(3,4))phase(ratrace_9_7G_high_per..S(2,4))

კ5.7 ௦Ҕ ADS model ޑ rat-race ႝၡ

ಃѤ୵ࣁᒡΕ(input port)ΔಃΟǵಃΒ୵ࣁৡ୏ᒡр(differential port)ǹಃ΋୵ࢂ႖ᚆᆄ(isolation port)Ζ

კ6/9!!sbu.sbdf!T ୖኧኳᔕ)ႝ৒ॶ,0.21&ᡂϯ*!

வკ5.8ᡉҢ྽ႝ৒Ԗ,0.21&ޑᡂϯਔځ࣬ՏϷਁ൯ޑᡂϯጄൎΔځ

short at resonance 1 2

open at resonance when 1 2

Tufq2;!

ႝࢬӝԋᏔ฻ਏλߞဦኳࠠΖ Tufq3;!

ஒႝࢬྍᙯඤԋ฻ਏႝᓸྍΔځύV1 j LIZ 1Ζ Tufq4;!

MD ՍᖄӅਁਔࣁ΋อၡΔځӅਁᓎ౗ࣁ ¹

L C

Z u Ζ!

Tufq5;!

ஒႝᓸྍᙯࣁ฻ਏႝࢬྍΔҗ Opsupo ฻ਏޕ!

* 1 2 2

1 1 2 1 2 1

1 2 j L I

I V I L C I when L C

j C

Z Z Z

Tufq6ǵ7;!

ӧӅਁᓎ౗ਔΔLC ٠ᖄࣁ΋໒ၡΔനࡕٿಔႝࢬӕ࣬࣬уΖ

җ΢य़ᙯඤ௢ᏤޕΔךॺճҔᙁൂޑ LC ႝၡ଺ࣁ RF ᆄޑৡ୏ᙯൂ

ᆄᒡрΖʳ

6/3/4!໣ᕴ sbu.sbdf ϲᓎషᓎᏔ೛ी!

!!ҁႝၡа HbBt ᇙำᏹբӧ21HI{ ᇙբ΋ӄൂᆄᒡΕǵᒡрޑ৔

ᓎϲᓎషᓎᏔΖځύ MP ૻဦճҔ೛ीޑ໣ᕴ sbu.sbdf ٰౢғৡ୏

ԄૻဦᗉխΑѦௗ೏୏ޑৡ୏ႝၡޑሡ؃ΔԶύᓎᆄ௦Ҕ༾షᓎᏔ ޑൂᆄᒡΕΔԖ๱ؼӳޑᒡΕߔלϰଛΖSG ᆄᒡр٬ҔႝࢬӝԋᏔ

ٰౢғൂᆄᒡрΔ٠ሒௗ Difssz!Ippqfs ܫεמೌ٬ගϲᙯඤቚ੻

ᆶᛙۓࡋΔനࡕࣁ٬ႝၡᆶѦௗႝၡϰଛΔ٠Ъ٬ႝࢬӝԋᏔ҅த πբΔךॺӧᒡрᆄу΢΋Ӆ৔ཱུ.Ӆ໣ཱུᒡр cvggfsΔ೭ኬࢎᄬନ

ΑගٮѦ೽ႝၡϰଛǴ٠ЪԖ๱ଯೲޑᓎ౗ៜᔈஒૻဦᒡрǶ᏾ᡏ

ࢎᄬӵკ6/22Ζ!

კ6/22!Mvnqfe!sbu.sbdf ϲᓎషᓎᏔ!

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