耦合電感壓控振盪器與空隙濾波放大器

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୯ҥҬ೯εᏢႝߞπำسᅺγ੤

ᅺγፕЎ

ʳ ʳ ʳ ʳ ʳ ʳ

ጠӝႝགᓸ௓ਁᕏᏔᆶޜሜᘠݢܫεᏔ

ϐ೛ी

Design and Implementation of Coupled Inductor Voltage

Control Oscillator and Gap Coupled Filter Amplifier

ʳ ʳ ʳ

!

ʳ ʳ ʳ

ࣴزғǺഋቼᗶ

ࡰᏤ௲௤Ǻۏቼے

ύ๮҇୯ΐΜΟԃϤД

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ጠӝႝགᓸ௓ਁᕏᏔᆶޜሜᘠݢܫεᏔ

ϐ೛ी

Design and Implementation of Coupled Inductor Voltage

Control Oscillator and Gap Coupled Filter Amplifier

ࣴزғǺഋቼᗶ Student: Chen Ching Hung

ࡰᏤ௲௤Ǻۏቼے റγ Advisor: Dr. Meng Chin Chun

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

Hsinchu, Taiwan, Republic of China ύ๮҇୯ΐΜΟԃϤД

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ύЎᄔा!

! ҁፕЎჴբ೽ϩх֖ᓸ௓ਁᕏᏔᆶф౗ܫεᏔޑ೛ीǶךॺճ Ҕ GCT 2.0 um InGap/GaAs HBT ϐᇙำǴჴ౜Αᓎ౗6.2GHz ޑጠӝ ႝགৡ୏࣬Տᓸ௓ਁᕏᏔႝၡаϷᓎ౗5.5GHz ޑጠӝႝག҅Ҭ࣬Տ ᓸ௓ਁᕏᏔႝၡǶᓸਁ௓ᕏᏔ௦Ҕ Board level ޑБԄໆෳǴаᗉխ ႝྍٮᔈᏔቹៜႝၡ੝܄Ƕ6.2GHz ޑጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔ ႝၡӧ6V ޑᏹբႝᓸϐΠǴᏱԖ-110.22dBc/Hz@1MHz ޑ࣬Տᚇ ૻǵ-8.2 dBm ޑᒡрф౗ǵ200MHz ޑёፓጄൎǶԶ5.5GHz ޑጠӝ ႝ ག ҅ Ҭ ࣬ Տ ᓸ ௓ ਁ ᕏ Ꮤ ႝ ၡ ӧ 4V ޑ ᏹ բ ႝ ᓸ ϐ Π Ǵ Ᏹ Ԗ -108.92dBc/Hz@1MHzޑ࣬Տᚇૻǵ-3.5 dBm ޑᒡрф౗ǵ120MHz ޑёፓጄൎǶԶޜሜᘠݢܫεᏔБय़ǴךॺֹԋߔלᙯඤᘠݢᏔޑ ೛ीࢬำǴ٠ճҔ WIN 0.15 um pHemt ϐᇙำǴኳᔕаϷჴ౜60GHz ޑ༾஥ጕԄᆶѳय़ݢᏤԄޜሜᘠݢܫεᏔႝၡǴႣीஒճҔ NDL ଯ ᓎໆෳჴᡍ࠻ගٮޑ On-wafer ໆෳֹԋჴբϐໆෳǶ

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Abstract

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This thesis presents the design of Voltage Control Voltage and Power Amplifier. First, we use GCT 2.0 um InGap/GaAs HBT process to implement 6.2GHz Coupled Inductor Differential Phase Voltage Control Oscillator and 5.5GHz Coupled Inductor Quadrature Phase Voltage Control Oscillator. The supply voltage of 6.2GHz DVCO is 6V and the phase noise is -110.22dBc/Hz@1MHz, the output power is -8.2 dBm and the tuning range is 200MHz. The supply voltage of 5.5GHz QVCO is 4V and the phase noise is -108.92dBc/Hz@1MHz, the output power is -3.5 dBm and the tuning range is 120MHz. We measure VCO circuit on board level to avoid the noise of power supply.

We complete the design flow of impedance transform filter and use WIN 0.15 um pHemt process to simulate and implement 60GHz microstrip type Gap Coupled Filter Amplifier and 60GHz coplanar waveguide type Gap Coupled Filter Amplifier. We will measure it at NDL.

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ᇞᖴ

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ਔӀ०ೳǴᙯ౳໔Ǵٿԃࣴز܌ޑਔӀ൩Ԝ֋΋ࢤပΑǴϣЈ ନΑ഻৹ϐѦᗋ஥ᗺό௭Ƕӧ೭ٿԃޑ؃Ꮲය໔ǴനӃाགᖴۏቼ ے௲௤ӧࣴزᆶፐ཰΢ჹךόჇځྠޑࡰᏤǴ஥ሦך຾Ε৔ᓎᑈᡏ ႝၡޑሦୱǴ٬Ꮲғளа໩ճֹԋԜፕЎǶགᖴ၏੻ϘǵֈᏢγǵ ೾Ϙ଄௲௤ૈӧԭԆϐύܜޜୖуᏢғޑα၂Ǵ٠Ъόսெޑ๏ϒ ᏢғࡰᏤǶ གᖴ918ޑუՔॺǴےᑣǵεࣁǵդ֡ǵדวᏢߏǹࣔሺᏢۊǹ ܴڻǵࣁࢅǵһ఼ǵඵนǵಏӹუՔǹᐛֻǵဃ⁌ǵӹЎǵඵഩᏢ ׌ǴᖴᖴգॺӧࣴزϷᏢ཰΢ޑࡰᏤǴ׳ᖴᖴգॺ஥๏ךޑ܌Ԗ៿ ኷ǶΨགᖴ NDL ჴᡍ࠻ޑᏢߏॺǴόᜏٌമޑඹךໆෳႝၡǶ གᖴךޑৎΓǴݿݿǵ༰༰ǵεۊǵۆϻǵΒۆǴᗨฅε೽ϩ ޑਔ໔ךΓӧཥԮǴգॺࠅคਔคڅޑႴᓰךǴ๏ךᜢᚶǴᡣך७ གྕཪǶགᖴךޑζ϶๥໥Ǵӧ೭ٿԃϐύǴךคݤததӧیيᜐǴ ՠ΋ၡ΢ǴیϝᝩុഉՔ๱ךǵЍ࡭ךǵႴᓰךǴ੿ޑࡐᖴᖴی! നࡕǼ๏ך܌Ԗޑӳ϶ॺǺԖգॺǴ੿ӳǼ

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Ҟᒵ

ᄔाȐύЎȑ………..…i ᄔाȐमЎȑ………ii ठᖴ……….. iii Ҟᒵ ……….iv კҞᒵ ……….…vi ߄Ҟᒵ………..………..………x ಃ΋ക ᆣፕ……… …….1 1.1߻ق……… …….2 1.2ፕЎᙁϟ………..2 ಃΒക ৔ᓎԏวᐒࢎᄬ………..3 2.1߻ق………..4 2.2ௗԏᐒࢎᄬ………..5 2.2.1ѦৡԄௗԏᐒ………...5 2.2.2႟ύᓎௗԏᐒ………...7 2.2.3եύᓎௗԏᐒ……….11 2.2.4ቨύᓎௗԏᐒ……….12 2.3ว৔ᐒࢎᄬ………13 2.3.1ޔௗᙯඤว৔ᐒ……….13 2.3.2ᚈख़ᙯඤว৔ᐒ……….13 ಃΟക ጠӝႝགᓸ௓ਁᕏᏔ………15 3.1߻ق………16 3.2୷ҁচ౛Ϸႝၡࢎᄬ………16 3.2.1୷ҁচ౛……….16 3.2.2ᕉࠠਁᕏᏔ……….23 3.2.3 LCਁᕏᏔ………...26 3.3ख़ाୖኧ………29 3.3.1࣬Տᚇૻ……….29 3.3.2ႝᓸቚ੻……….33 3.3.3ᒡрф౗……….33 3.4 LCӅਁ๚ႝག೛ी………..34 3.4.1ѳय़ႝག……….34

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3.4.2ጠӝႝག……….35 3.4.3୴᠄ႝག……….37 3.5ጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔ………41 3.5.1ႝၡচ౛Ϸࢎᄬ……….41 3.5.2ໆෳ่݀……….45 3.6ጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔ………49 3.6.1ႝၡচ౛Ϸࢎᄬ……….…………49 3.6.2ໆෳ่݀……….………52 ಃѤക ޜሜᘠݢܫεᏔ………57 4.1߻ق………58 4.2ߔלᙯඤᘠݢᏔ………58 4.2.1Β໘ Chebyshev ᘠݢᏔ……….58 4.2.2Β໘ޜሜጠӝᘠݢᏔ……….60 4.3༾஥ጕԄޜሜᘠݢܫεᏔ………63 4.3.1ႝᘠচ౛Ϸࢎᄬ……….63 4.3.2ኳᔕ่݀……….65 4.4Ӆѳय़ݢᏤԄޜሜᘠݢܫεᏔ………..68 4.4.1ႝᘠচ౛Ϸࢎᄬ……….68 4.4.2ኳᔕ่݀……….70 ಃϖക ่ፕ………74 ߕᒵ A ߔלᙯඤᘠݢᏔϐ Matlab ำԄ .………76 ୖԵЎ᝘………..79

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კҞᒵ

კ 2.1 ୷ҁ৔ᓎԏวᐒࢎᄬ ………4 კ 2.2 ȐaȑൂભѦৡԄௗԏᐒȐbȑൂભѦৡԄᓎ᛼ᙯඤ ………5 კ 2.3 ѦৡԄޑ᜔Ⴝૻဦ׭ڋȐaȑଯύᓎȐbȑեύᓎ ………6 კ 2.4 ΒભѦৡԄௗԏᐒ ………7 კ 2.5 Ȑaȑ႟ύᓎௗԏᐒȐbȑ႟ύᓎௗԏᐒᓎ᛼ᙯඤ ………8 კ 2.6 ߚჹᆀԄᓎ᛼ޔௗᙯඤफ़ᓎ ………8 კ 2.7 ҅Ҭ࣬Տ႟ύᓎԄௗԏᏔ ………9 კ 2.8 ޔௗफ़ᓎࢎᄬޔࢬୃ౽চӢ ………9 კ 2.9 ޔௗफ़ᓎቚ੻/࣬Տόϰଛ ……….10 კ 2.10 ό౛གྷਏᔈǺȐaȑਁ൯Ȑbȑ࣬Տ ………..10 კ 2.11 ଽԛᒋݢѨ੿ ………11 კ 2.12 եύᓎௗԏᐒ ………12 კ 2.13 ቨύᓎௗԏᐒ ………12 კ 2.14 ҅Ҭ࣬Տޔௗᙯඤว৔ᐒ ………13 კ 2.15 ᚈख़ᙯඤว৔ᐒ ………14 კ 3.1 ӣ௤ႝၡ ………..17 კ 3.2 Regenerate ၸำ ………17 კ 3.3 аόӕᢀᗺϩ݋ਁᕏచҹ ………..19 კ 3.4 ࿼Ε΋ঁᓎ౗ᒧ᏷ႝၡܭӣ௤ႝၡύ ………..19 კ 3.5Ȑaȑߚ౛གྷӅਁ๚Ȑbȑߚ౛གྷӅਁ๚٠ᖄ΋ॄႝߔ ………20 კ 3.6 ൂ୵ॄႝߔਁᕏᏔ ………..20

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კ 3.7 ൂ୵ॄႝߔਁᕏᏔϐλૻဦኳࠠ ……….…..21 კ 3.8 ൂཱུᗺӣ௤س಍ ……….…..23 კ 3.9 ᚈཱུᗺӣ௤س಍ ……….…..24 კ 3.10 ࿼Ε΋ঁ౛གྷϸ࣬ܫεᏔܭᚈཱུᗺӣ௤ ………...24 კ 3.11 Οཱུᗺӣ௤س಍ ……….25 კ 3.12 εߞဦਁᕏݢࠠ ……….25 კ 3.13 ӭભᕉࠠਁᕏᏔȐaȑൂᆄȐbȑৡ୏ ……….26 კ 3.14 ҬᒱጠӝਁᕏᏔ ………...27 კ 3.15 ȐaȑྍཱུᒿጠᏔȐbȑ฻ਏႝၡ ……….28 კ 3.16 Ҭᒱጠӝ᎜ᕏᏔॄႝߔҢཀკ ……….28 კ 3.17 ૻဦ࣬ໆୃ౽ໆ ……….29 კ 3.18 Ȑaȑ౛གྷਁᕏᏔȐbȑߚ౛གྷਁᕏᏔ ……….30 კ 3.19 ۓက࣬Տᚇૻ ……….30 კ 3.20 Lesson’s Model ....….……….31 კ 3.21 ࣬ՏᚇૻჹௗԏᐒޑቹៜȐaȑ౛གྷਁᕏᏔȐbȑჴሞਁᕏᏔ ………..32 კ 3.22 ࣬Տᚇૻჹว৔ᐒޑቹៜȐaȑ౛གྷਁᕏᏔȐbȑჴሞਁᕏᏔ ………..32 კ 3.23 ᓸ௓ਁᕏᏔޑቚ੻ ……….33 კ 3.24 ѳय़ႝག ……….34 კ 3.25 GaAs ႝག฻ਏኳࠠ ……….34 კ 3.26 ጠӝႝག ……….35 კ 3.27 ጠӝႝག ……….36 კ 3.28 ୴᠄ႝག ……….38 კ 3.29 ٿঁጕ୮ႝགՍௗ ……….38

კ 3.30 Crossed-Coupled Pair ᓸ௓ਁᕏᏔȐaȑޔௗӣ௤Ȑbȑႝ৒ӣ௤ ...41

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კ 3.33 ճҔ IE3D ኳᔕጠӝႝགȐaȑኳᔕკȐbȑኳᔕ่݀ ………...44 კ 3.34 ጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔႝၡ ……….44 კ 3.35 ጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔ Die Photo ………....45 კ 3.36 Board Level ໆෳ ……….45 კ 3.37 ᓎ౗ᆶф౗ໆෳ่݀ ……….46 კ 3.38 ࣬Տᚇૻໆෳ่݀ ……….46 კ 3.39 ёፓጄൎໆෳ่݀ ……….47 კ 3.40 Vtune ჹ Power ޑໆෳ่݀ ……….47 კ 3.41 ȐaȑݙΕૻဦܭਁᕏᏔȐbȑλૻဦኳࠠ ………..49 კ 3.42 ȐaȑਁᕏᏔጠӝ࣬ௗȐbȑਁᕏᏔጠӝ࣬ௗႝၡკ ………..50 კ 3.43 ਁᕏᏔጠӝ࣬ௗλૻဦኳࠠ ……….50 კ 3.44 ጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔႝၡ ……….51 კ 3.45 ጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔႝၡ Die Photo ……….52 კ 3.46 Board Level ໆෳ ……….52 კ 3.47 ᓎ౗ᆶф౗ໆෳ่݀ ……….53 კ 3.48 ࣬Տᚇૻໆෳ่݀ ……….53 კ 3.49 ёፓጄൎໆෳ่݀ ……….54 კ 3.50 Vtune ჹ Power ޑໆෳ่݀ ………54 კ 4.1 Β໘ե೯ᘠݢᏔ ………...59 კ 4.2 ޜሜᘠݢ௢Ꮴ ………...62 კ 4.3 ஥೯ܫεᏔҢཀკ ………...63 კ 4.4 ༾஥ጕԄޜሜᘠݢܫεᏔ ………...64 კ 4.5 ༾஥ጕԄޜሜᘠݢܫεᏔϐႝၡթֽ ………...64 კ 4.6 K ॶኳᔕ ……….65 კ 4.7 B ॶኳᔕ ……….65

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კ 4.9 S ୖኧኳᔕ ………..66 კ 4.10 IIP3 ኳᔕ ………...67 კ 4.11 P1dB ………...67 კ 4.12 ஥೯ܫεᏔҢཀკ ……….69 კ 4.13 Ӆѳय़ݢᏤԄޜሜᘠݢܫεᏔ ……….69 კ 4.14 Ӆѳय़ݢᏤԄޜሜᘠݢܫεᏔϐႝၡթֽ ……….69 კ 4.15 K ॶኳᔕ ………...70 კ 4.16 B ॶኳᔕ ………...70 კ 4.17 S ୖኧኳᔕ ………71 კ 4.18 S ୖኧኳᔕ ………71 კ 4.19 IIP3 ኳᔕ ………72 კ 4.20 P1dB ኳᔕ ……….72

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߄Ҟᒵ

߄ 3.1 ᕉࠠਁᕏᏔᆶ LC ਁᕏᏔϐКၨ ………...29 ߄ 3.2 ጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔೕ਱ ………48 ߄ 3.3 ጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔೕ਱ ………55 ߄ 3.4 යтፕЎϐКၨ ………56 ߄ 3.5 යтፕЎϐКၨȐFOMȑ ………56 ߄ 4.1 ༾஥ጕԄޜሜᘠݢܫεᏔೕ਱ ……….68 ߄ 4.2 Ӆѳय़ݢᏤԄޜሜᘠݢܫεᏔೕ਱ ………..73

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ಃ΋ക ᆣፕ 1

ಃ΋ക

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ಃ΋ക ᆣፕ 2

1.1 ߻ق

வђԿϞǴΓᜪჹܭૻ৲ྎ೯ޑ෰ఈவ҂ሀ෧ၸǴሳߎᔐႴǵ ०ᗷ໺ਜǵ််ਫ਼ྟǵϾܴᐩ฻Ǵᗨฅྎ೯ޑБԄόӕǴՠനಖޑ Ҟޑ൩ࢂ໺ၲૻ৲๏ჹБǶᒿ๱ਔжޑᄽ຾ǴΓᜪჹܭၗૻϷྎ೯ ޑ෰ఈς࿶வᕇளޑሡ؃܄ᙯࣁᕇளޑջਔ܄ǴӢԜǴࣁΑӧҺՖ ӦБǵҺՖਔ໔೿ૈᕇڗջਔၗૻǴεໆޑคጕ೯ૻౢࠔΨӢԜѫ ػԶғǴӵЋᐒǵGPSǵWLAN ฻ౢࠔǴаᅈىε౲ჹܭၗૻޑሡ ؃Ƕӧ೯ૻ඲ТύǴ൩ឦ৔ᓎ඲ТޑߐᘖനଯǴচӢࢂǺಃ΋ǴӢ ৔ᓎႝၡ೛ीሡԵໆᚇૻǵጕ܄ࡋǵф౗੃઻ǵߔלϰଛǵᏹբᓎ ౗ǵޔࢬႝᓸٮᔈǵߞဦਁ൯Ϸس಍ೕ਱ϐ໔ޑᑽໆǴ٬ள೛ी֚ ᜤǶಃΒǴ࣬ၨܭᜪКႝၡǴ৔ᓎႝၡᗋሡڀഢ༾ݢπำǵႝᅶ౛ ፕǵ೯ૻ౛ፕᆶъᏤᡏނ౛฻ޕ᛽Ǵωૈ೛ीрֹ๓ޑႝၡǶಃΟǴ ᆒྗޑЬ୏ᆶ೏୏ኳࠠᜤаᕇளǴ೷ԋ೛ीޑୃৡǶӢԜǴ΋Տ৔ ᓎπำৣࢂሡा࿶ᡍޑಕᑈᆶߏਔ໔୻ᎦޑǶᒿ๱ၗૻໆሡ؃ޑග ଯǴࣁΑᕇளၨቨޑ໺ᒡᓎቨǴԶว৖рӚᅿคጕ೯ૻϐڐۓǴ٠ Ъπբᓎ౗ΨຫٰຫଯǴ೭ჹܭ৔ᓎႝၡԶقஒ཮ࢂ΋εࡷᏯǶ

1.2 ፕЎᙁϟ

ҁፕЎӅϩϖঁക࿯Ǵಃ΋ക࿯ࣁׇፕǴᇥܴΑคጕ೯ૻޑඉ ፕᆶፕЎ่ᄬǶಃΒകஒϟಏคጕԏวᐒޑࢎᄬǶಃΟകϟಏਁᕏ Ꮤޑ୷ҁ౛ፕǴനࡕճҔ GCT 2.0 um InGap/GaAs HBT ޑᇙำჴ౜ ጠӝႝགᓸ௓ਁᕏᏔႝၡǶಃѤകϟಏߔלᙯඤᘠݢᏔޑ೛ीБ ݤǴ٠ճҔ WIN 0.15 um pHemt ᇙำჴ౜60GHz ޑޜሜᘠݢܫεᏔ ႝၡǶಃϖക߾ࣁҁፕЎϐ่ፕǶ

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ಃΒക ৔ᓎԏวᐒࢎᄬ 3

ಃΒക

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2.1 ߻ق

ӵკ2.1܌ҢǴࣁ΋ঁ୷ҁ৔ᓎԏวᐒࢎᄬǴх֖ΑϪඤᏔ

ȐSwitchȑǵեᚇૻܫεᏔȐLow Noise Amplifierȑǵф౗ܫεᏔȐPower AmplifierȑǵషᓎᏔȐMixerȑǵᘠݢᏔȐFilterȑϷᓎ౗ӝԋᏔ ȐSynthesizerȑ฻Ƕӧว৔ᆄǴፓᡂޑ୷ᓎȐBasebandȑૻဦᙖҗష ᓎᏔϲᓎԿύᓎȐIFȑᆶ৔ᓎȐRFȑǴӆ࿶җф౗ܫεᏔ௢୏Ϻጕ ஒૻဦ໺ଌрѐǶӧௗԏᆄǴ৔ᓎૻဦӃ࿶җեᚇૻܫεᏔܫεǴ ӆ࿶җషᓎᏔफ़ᓎԿύᓎᆶ୷ᓎаճૻဦှፓπբǶ ΋ঁ৔ᓎ߻ᆄႝၡޑ೛ीሡԵቾፄᚇࡋǵሽ਱ǵф౗੃઻ǵѦ ௗϡҹኧҞаϷس಍ೕ਱฻ሡ؃ٰᒧ᏷፾྽ޑԏวᐒࢎᄬǴҁകஒ ᙁౣޑϟಏӚᅿԏวᐒࢎᄬǶ კ2.1 ୷ҁ৔ᓎԏวᐒࢎᄬ

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2.2 ௗԏᐒࢎᄬ

2.2.1 ѦৡԄௗԏᐒ (Heterodyne Receiver)

ൂભѦৡԄௗԏᐒ

კ2.2ࣁ΋ൂભѦৡԄௗԏᐒǴϺጕௗԏ৔ᓎૻဦϐࡕǴӃ࿶җ ᓎ஥ᒧ᏷ᘠݢᏔȐBand Select Filterȑᘠ௞ᓎ஥ѦϐૻဦǴӆҗեᚇ ૻܫεᏔܫεૻဦǴฅࡕᙖҗషᓎᏔᆶҁӦᆄਁᕏᏔషᓎफ़Կύ ᓎǶѦৡԄௗԏᏔύԖ΋ঁ᜔Ⴝᓎ౗υᘋޑୢᚒǴ܌ᒏ᜔Ⴝᓎ౗Ǵ ൩ࢂځ࿶җషᓎᏔफ़ᓎϐࡕᆶ৔ᓎૻဦफ़Կ࣬ӕϐᓎ౗Ǵӵ৔ᓎૻ ဦࣁZLO ZIFǴ߾᜔Ⴝૻဦϐᓎ౗ջࣁZLO ZIFǴ೭ஒ཮٬ளૻဦ

ᓎ᛼ख़᠄คݤϩᒣǶӢԜǴѦৡԄௗԏᏔѸሡӧషᓎᏔϐ߻у΢΋ ᜔ႽѐନᘠݢᏔȐImage Rejection FilterȑǴаᘠ௞᜔Ⴝᓎ౗Ƕҗܭ ԜᘠݢᏔሡाଯޑ Q ॶǴ೯தӧ඲ТѦჴ౜ǴӢԜ཮ቚуय़ᑈԶό ճس಍᏾ӝǶૻဦ࿶җషᓎᏔफ़ԿύᓎᓎࢤϐࡕǴӆ࿶җᓎၰᒧ᏷ ᘠݢᏔȐChannel Select Filterȑڗр܌ाޑᓎၰǶനࡕǴૻဦӆ࿶җ ёፓቚ੻ܫεᏔȐVariable Gain Amplifierȑፓ᏾ૻဦਁ൯ྗՏǴаճ Π΋ભޑᜪК/ኧՏᙯඤᏔȐA/D ConverterȑԖ፾྽ޑ୏ᄊጄൎֹٰ ԋૻဦᙯඤǶ

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ಃΒക ৔ᓎԏวᐒࢎᄬ 6 Z 0

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c Z Zc 0 IF Z ZIF Z ʻ˵ʼ კ2.2 ȐbȑൂભѦৡԄᓎ᛼ᙯඤ җკ2.3܌ҢǴךॺёว౜Ǵύᓎޑᒧ᏷ஒჹس಍ޑᡫ௵ࡋکᒧ ᏷ࡋԖख़εޑቹៜǶӵკ2.3ȐaȑǴᒧ᏷ၨଯޑύᓎǴ᜔Ⴝૻဦᆶሡ ाޑૻဦຯᚆၨᇻǴ߾ёᒧ᏷৒ܰჴ౜ޑᘠݢᏔȐե Q ॶȑѐନ᜔ ႽૻဦǴՠҗܭύᓎޑᓎ౗ၨଯǴᓎၰᒧ᏷ᘠݢᏔѸ໪٬Ҕၨᜤჴ ౜ޑᘠݢᏔȐଯ Q ॶȑǶ࣬ϸӦǴӵკ2.3Ȑbȑ܌ҢǴᒧ᏷եޑύᓎǴ ᜔ႽૻဦஒᜤаᘠନǴόၸᓎၰᒧ᏷ᘠݢᏔၨࠅ৒ܰၲԋǶ im Z ZLO ZRF Z IF Z ZIF 0 ZIF Z im Z ZLO ZRF Z IF Z ZIF 0 ZIF Z კ2.3 ѦৡԄޑ᜔Ⴝૻဦ׭ڋǺȐaȑଯύᓎǶȐbȑեύᓎǶ

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ಃΒക ৔ᓎԏวᐒࢎᄬ 7 ᆕӝа΢܌ॊǴύᓎޑᒧ᏷ǴሡԵቾ᜔Ⴝૻဦک܌ሡૻဦ໔ޑ ຯᚆǴբࣁ᜔ႽѐନᘠݢᏔޑ೛ीԵໆǴԜࣁൂભѦৡԄௗԏᏔന εޑ੝ՅǴӵՖᒧ᏷ύᓎǴཀښޣس಍ᡫ௵ࡋǵᒧ᏷ࡋϐ໔ޑԵໆǶ

ӭભѦৡԄௗԏᏔ

ӵ߻΋࿯܌ॊǴൂભѦৡԄޑύᓎᒧ᏷೷ԋᡫ௵ࡋǵᒧ᏷ࡋϐ ໔ޑڗ௭Ƕऩ٬ҔӭભѦৡԄௗԏᏔǴ߾᜔Ⴝѐନکᓎၰᒧ᏷ᘠݢ ᏔϩණӧӭભషᓎᏔϐ໔ֹԋǴջࢂஒૻဦϩԛफ़ᓎǴ߾ё෧ᇸᘠ ݢᏔჹ Q ॶޑा؃ǶӵΠკ2.4ࣁ΋ᚈύᓎΒભѦৡԄޑௗԏᐒǴҗ ܭ؂΋ભޑషᓎᏔࣣԖ᜔ႽૻဦޑӸӧǴӢԜѸ໪ӧӚભషᓎᏔϐ ߻࿼ΕᘠݢᏔٰѐନ᜔ႽૻဦǴ܌аѸ໪брѦௗᘠݢᏔޑኧҞǶ კ2.4 ΒભѦৡԄௗԏᐒ

2.2.2 ႟ύᓎௗԏᐒ(Zero-IF Receiver)

ӵ߻΋࿯܌ॊǴѦৡԄௗԏᐒᗨฅڀԖ೛ीϷфૈ΢ޑᓬ༈Ǵ ՠҗܭᇙբ΢܌ሡޑኳಔѸ໪һᒘѦௗϡҹٰၲԋǴ܌аคݤ᏾ӝ س಍ǶԶ႟ύᓎࢎᄬёаှ،΢ॊѦৡԄԏௗԏᐒޑୢᚒǴӵკ2.5 ܌ҢǴ৔ᓎૻဦӃ࿶ၸեᚇૻܫεᏔܫεϐࡕǴޔௗҗҁӦਁᕏૻ ဦफ़Կ୷ᓎᓎ౗ǶҗܭҁӦਁᕏૻဦᓎ౗ᆶ৔ᓎૻဦ࣬ӕǴ܌аؒ Ԗ᜔ႽૻဦޑୢᚒǴԶค໪࿼Ε᜔ႽѐନᘠݢᏔǶԜѦǴૻဦफ़Կ

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ಃΒക ৔ᓎԏวᐒࢎᄬ 8 ୷ᓎૻဦϐࡕǴᓎၰᒧ᏷ᘠݢᏔа୷ᓎᘠݢᏔڗжǴ೭ஒԖշܭ඲ Т᏾ӝǶ კ2.5 Ȑaȑ႟ύᓎௗԏᐒ Z 0 Zc c Z კ2.5 Ȑbȑ႟ύᓎௗԏᐒᓎ᛼ᙯඤ ฅԶǴӵკ2.6܌ҢǴӧε೽ҽޑ௃ݩΠǴ৔ᓎૻဦޑᓎ᛼ёૈ όჹᆀǴࣁΑᗉխफ़ᓎૻဦޑख़᠄ǴךॺёаճҔ҅Ҭ࣬Տޑፄᓎ ୱफ़ᓎБݤٰѐନख़᠄ޑૻဦǶӵკ2.7܌ҢǴࣁ΋ঁၨதـޑޔௗ फ़ᓎࢎᄬǶ Z 0 Z0 0 Z კ2.6 ߚჹᆀԄᓎ᛼ޔௗᙯඤफ़

ᓎ

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ಃΒക ৔ᓎԏวᐒࢎᄬ 9 0 90 shifter | | კ2.7 ҅Ҭ࣬Տ႟ύᓎԄௗԏᏔ Զޔௗफ़ᓎௗԏᐒϝሡှ،аΠୢᚒǺ

ޔࢬୃ౽

ӵკ2.8ȐaȑǴӢࣁҁӦਁᕏᏔૻဦϷ৔ᓎૻဦᓎ౗࣬ӕǴЪష ᓎᏔޑ႖ᚆࡋࣁߚ౛གྷǴLOૻဦஒ཮ጠӝԿRFᆄǴ೏եᚇૻܫεᏔ ϸ৔ӣٰࡕᆶLOԾךషᓎǴౢғޔࢬૻဦǶќ΋ᅿ௃ݩࣁკ2.8(b)܌ ҢǴௗԏૻဦጠӝԿLOᆄϐࡕӆᆶӕᓎ౗ޑυᘋૻဦԾךషᓎǴԶ ౢғޔࢬૻဦǴޔࢬୃ౽ஒ཮೷ԋΠભޑᜪК/ኧՏᙯඤᏔႫکԶᏹ բᒱᇤǶ კ2.8 ޔௗफ़ᓎࢎᄬޔࢬୃ౽চӢ

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ಃΒക ৔ᓎԏวᐒࢎᄬ 10 ޔࢬୃ౽ୢᚒǴёගଯᜪКኧՏᙯඤᏔޑ୏ᄊጄൎٰှ،Ǵՠ ೭ஒ཮ቚу೛ीޑ֚ᜤࡋǶќ΋ᅿှ،БԄǴ߾ࢂճҔጠӝႝ৒ѐ ନޔࢬୃ౽ԋҽǶځલᗺࢂሡ٬Ҕεႝ৒Ъӕਔ឴࣊Α୷ᓎૻဦޑ եᓎԋҽǴ٬ૻဦౢғѨ੿Ǵჹܭࢌ٤ޑፓᡂ٠ό፾ҔǶ

ቚ੻/࣬Տόϰଛ

җܭޔௗफ़ᓎԄӧ RF ᓎ஥ౢғ I/Q ૻဦǴځૻဦёૈౢғόϰ ଛޑమݩǴӵკ2.9܌ҢǴԜ I/Q ૻဦӧਁ൯Ϸ࣬Տ΢೷ԋޑᇤৡஒ ೷ԋफ़ᓎૻဦޑࢃރკ(Constellation) Ǵត౽Զගଯ໺ᒡՏϡᒱᇤ౗ (Bit Error Rate) Ǵკ2.10܌ҢǶ

კ2.9 ޔௗफ़ᓎቚ੻/࣬Տόϰଛ

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ଽԛᒋݢѨ੿(Even-Order Distortion)

җܭޔௗफ़ᓎஒૻဦफ़ډ୷ᓎߕ߈Ǵऩӧ೯ၰߕ߈ޑ৔ᓎυᘋૻ ဦ཮җܭܫεᏔႝၡౢғޑଽԛᒋݢѨ੿Զஒυᘋ࿼ܭ୷ᓎᓎ஥Ǵკ 2.11Ǵ߄ҢԖٿঁᎃ߈ޑυᘋૻဦǴ࿶ၸЬ୏ႝၡౢғޑΒԛᆶΟԛ ᒋݢૻဦυᘋޑҢཀკǶӧຬѦৡࢎᄬύǴ৔ᓎૻဦफ़ԿύᓎӢԶό ᆶΒԛᒋݢख़᠄ǴЪυᘋૻဦς೏ύᓎᘠݢᏔ׭ڋǴࡺځΒԛᒋݢё ೏۹ౣǶ cosZ_LOt

Z

კ2.11 ଽԛᒋݢѨ੿

᠞୏ᚇૻ(Flicker Noise)

ନΑޔࢬୃ౽ϐѦǴեᓎޑ᠞୏ᚇૻΨࢂ႟ύᓎԄௗԏᐒ܌Ѹ໪ य़ჹޑୢᚒǶҗܭႝ඲ᡏޑ᠞୏ᚇૻځф౗ᓎ᛼ஏࡋࣁ1/fޑԔጕǴ཮ ஒ཮ቹៜޔௗफ़ᓎԿ୷ᓎޑૻဦǶ

2.2.3 եύᓎௗԏᐒ (Low-IF Receiver)

ӵკ2.12܌Ңࣁ΋եύᓎௗԏᏔࢎᄬǴஒ৔ᓎૻဦफ़ᓎԿύᓎǴ ᗨฅΨԖ᜔ႽૻဦޑୢᚒǴՠёճҔ҅Ҭ࣬ՏޑࢎᄬǴ٬ள܌ሡૻဦ ᆶ᜔Ⴝૻဦౢғόӕޑ࣬ՏៜᔈǴӆҔӭ࣬ՏᘠݢᏔٰϩᒣ᜔Ⴝૻဦ

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ಃΒക ৔ᓎԏวᐒࢎᄬ 12 ک܌ሡૻဦԶ࣪ѐ᜔ႽᘠݢᏔǶҗܭሡाI/Qٿঁၡ৩Ǵ΋ኬ཮Ԗቚ ੻ᆶ࣬ՏޑόϰଛԶჹ᜔Ⴝ׭ڋ೷ԋቹៜǶ 0 90 shifter Z | | Z კ 2.12 եύᓎௗԏᐒ

2.2.4 ቨύᓎௗԏᐒȐWideband-IF Receiverȑ

ቨύᓎௗԏᐒ่ӝύᓎᆶ႟ᓎௗԏᐒޑࢎᄬǴӵკ2.13܌ҢǶ৔ ᓎૻဦ࿶ၸΒભޑషᓎᏔफ़ډ୷ᓎǴಃ΋ભ࿶ၸ΋ঁե೯ᘠݢᏔஒ ଯᓎޑ೽ҽᘠନǴԶߥ੮܌ԖޑᓎၰǴനࡕӆҗಃΒભޑషᓎᏔஒ ૻဦफ़Կ୷ᓎǴԶᓎၰޑᒧ᏷ࢂ࿶җಃΒભޑᓎ౗ӝԋᏔፓ᏾ᓎ౗ ֹٰԋǶӧԜᅿࢎᄬύǴύᓎᓎ஥όӆڙज़ܭύᓎᘠݢᏔǴӢԜၨ ૈ಄ӝ΋ঁӭኳԄޑޑس಍όӕೕ਱ޑा؃Ƕ |

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კ 2.13 ቨύᓎௗԏᐒ

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2.3 ว৔ᐒࢎᄬ

2.3.1 ޔௗᙯඤว৔ᐒ

კ2.14ࣁޔௗᙯඤኳԄว৔ᏔࢎᄬǴԜᜪࠠޑว৔Ꮤஒ I/Q ࣬Տ ϐ୷ᓎૻဦǴ࿶ၸኧՏᜪКᙯඤᏔϷᘠݢᏔೀ౛ࡕǴӆ࿶җషᓎᏔ ፓᡂ٠ЪӕਔϲᓎԿ৔ᓎᓎ౗Ǵനࡕ࿶җф౗ܫεᏔܫεᙖҗϺጕ ໺ଌрѐǶԜว৔ᐒё࣪ѐύᓎޑႝᓸ௓ڋਁᕏᏔᆶᙹᓎ଑ၡǴЪ ёᗉխ٬ҔѦௗޑύᓎᘠݢᏔǴёε൯फ़ե඲Тय़ᑈϷᇙբԋҁǶ ΢ॊࣁޔௗᙯᡂኳԄว৔ᏔޑᓬᗺǴՠࢂӧჴሞޑႝၡᇙբ΢Ǵϝ Ӹӧ೚ӭࡷᏯǶٯӵǴI/Q ૻဦ೼৩ޑ࣬Տᆶቚ੻ᇤৡ೷ԋਏૈޑफ़ եǵਁᕏᏔ܎רਏᔈȐVCO Pullingȑ฻ϝሡլܺǶ 0 90 shifter კ2.14 ҅Ҭ࣬Տޔௗᙯඤว৔ᐒ

2.3.2 ᚈख़ᙯඤว৔ᐒ (Two-Step Transmitter)

ࣁᗉխਁᕏᏔ܎רਏᔈǴёаஒ୷ᓎૻဦҗ I/Q ೯ၰӃϲԿύ ᓎೀǴനࡕӆϲԿ৔ᓎᓎࢤǴӵΠკ2.15܌ҢǴځύ BPF1ᘠ௞όѸ ाޑ IF ᒋݢ໨ǴBPF2߾ᘠ௞ѐନόाޑᜐᓎ஥(Sideband)Ƕࡐܴᡉ ӦǴҗܭ I/Q ፓᡂӧၨեޑᓎ౗πբځϰଛޑ੝܄КၨӳǶՠӧಃ

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ΒԛޑϲᓎύǴషᓎᏔ཮ౢғٿঁ΋ኬޑᜐᓎ(Up Sideband Low Sideband :USB&LSB)Ǵ΋૓Զقሡाଯၲ50~60dB ޑ׭ڋфૈٰѐ ନόѸाޑᜐᓎǶԶӧԜ৔ᓎᓎ஥Ǵ೯தሡाӧф౗ܫεᏔϷషᓎ Ꮤϐ໔у΋΢΋ঁѦௗޑଯ Q ॶᘠݢᏔǴ೷ԋԋҁޑቚуǶ 0 90 shifter 1 2Z 1 Z Z Z1 2 Z Z1 2 1 2 Z Z 1 cosZt 1 sinZt cosZ₂t 2 Z 1 2Z 1 Z კ2.15 ᚈख़ᙯඤว৔ᐒ

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 15

ಃΟക

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3.1 ߻ق

ӧคጕ೯ૻس಍ޑԏวᐒȐTransceiverȑύǴคፕࢂௗԏᐒ

ȐReceiverȑ܈ࢂว৔ᐒȐTransmitterȑᆄǴࣣ཮࿼Ε΋ঁషᓎᏔȐMixerȑ բࣁफ़ᓎȐDown ConversionȑᆶϲᓎȐUp Conversionȑޑ୏բǴԶ షᓎᏔϲᓎᆶफ़ᓎޑୖԵᓎ౗ࢂҗҁӦਁᕏᏔȐLocal Oscillatorȑ܌ ගٮǴࣁᗉխ৔ᓎȐRadio Frequencyȑૻဦӧफ़ᓎޑၸำύ೷ԋૻဦ Ѩ੿Ǵ܈ࢂӧϲᓎၸำύυᘋځдᎃ߈ᓎ஥ȐAdjacent Channelȑϐ ૻဦǴӢԶӵՖ೛ी΋ঁᛙۓЪଳృޑਁᕏᏔႝၡǴჹܭ᏾ঁคጕ೯ ૻس಍ԶقǴࢂ࣬྽ख़ाޑǶҁക२Ӄஒ཮ϟಏਁᕏᏔޑ୷ҁচ౛ǵ ႝၡࢎᄬǵख़ाୖኧǵႝག೛ीǴ٠ճҔGCT 2.0 um InGap/GaAs HBT ޑᇙำჴ౜ᓸ௓ਁᕏᏔႝၡǺጠጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔȐCoupled Inductor Differential Phase Voltage Controlled Oscillatorȑǵጠጠӝႝག҅ Ҭ࣬Տᓸ௓ਁᕏᏔȐCoupled Inductor Quadrature Phase Voltage

Controlled OscillatorȑǶ

3.2 _{୷ҁচ౛Ϸႝၡࢎᄬ}

3.2.1 ୷ҁচ౛

ᜪКӣ௤ᢀᗺ

൩໺಍ᜪКႝၡޑ౛ፕᢀᗺԶقǴਁᕏᏔёຎࣁ΋ঁڀԖӣ௤ၡ ৩ޑܫεᏔႝၡǴӵკ 3.1 ܌ҢǴ࣬ၨܭ΋૓ӣ௤ܫεᏔ೛ीޑനε ৡ౦ᗺǴਁᕏᏔࢂ೛ीӧӣ௤ႝၡόᛙۓޑރᄊΠǴٰౢғ΋ঁຼය ܄ޑૻဦǶ

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 17 კ 3.1 ܌Ңޑӣ௤ႝၡ࿶ၸीᆉ᏾౛ϐࡕǴךॺёаளډځᙯඤ ڄԄȐtransfer functionȑࣁȐ3.1ȑԄǺ

1 out in V s H s V s H s Ȑ3.1ȑ ךॺёаว౜Ǵऩفᓎ౗ࣁZ0Ǵs jZ0ǵH j

Z0

1ਔǴ߾ӣ ௤ܫεᏔޑഈ଑ၡቚ੻ஒ཮ᖿ߈ܭคज़εǶӢԜǴӧԜచҹΠǴႝၡ ஒჹᓎ౗ࣁZ0ϐᚇૻคज़යޑܫεȐregenerateȑǴޔډૻဦၲډႫک ރᄊǴౢғ΋ঁᛙۓޑຼය܄ૻဦǴԜܫεၸำёҗკ 3.2 ܌ҢǶ ԶךॺёаҔ൳ՖભኧׇӈޑБԄ߄Ңკ3.2ϐܫεၸำǴଷ೛ ଑ၡ࣬Տୃ౽

0 0 180 H jZ Ǵ߾Voutё߄ࣁǺ

2 0 0 out in in in V V H jZ V H jZ V Ȑ3.2ȑ კ 3.1 ӣ௤ႝၡ ˛ʻ̆ʼ ˩̂̈̇ʻ̆ʼ ˩˼́ʻ̆ʼ კ 3.2 Regenerate ၸำ

(30)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 18 ऩ H j

Z0

!1ਔǴ߾Ȑ3.2ȑԄϐکVoutஒ཮วණǶ ऩ H j

Z0

1ਔǴ߾Ȑ3.2ȑԄϐک

0

1 in out V V H jZ f Ƕ җ΢ॊ૸ፕёޕǴऩ΋ঁॄӣ௤ႝၡӕਔ಄ӝΠӈٿঁచҹǺȐ1ȑ ܫεᏔቚ੻ǴH j

Z_o

t1ǶȐ2ȑܫεᏔޑ࣬Տୃ౽ǴH j

Z_o

180D ਔǴ߾ႝၡஒ཮ܫεZ0ϐᚇૻԶౢғਁᕏૻဦǴךॺᆀԜచҹࣁЃլ ᇬහచҹ(Barkhausen criteria)Ƕ

_o

1 H jZ t Ȑ3.3ȑ

_o

180 H jZ D Ȑ3.4ȑ ΢ॊЃլᇬහచҹࣁѸ໪ՠ٠ߚࢂ๊ჹޑǴךॺϝѸ໪Եቾډᇙ ำ΢ޑᇤৡаϷྕࡋᡂϯჹႝၡޑቹៜǴ܌аࣁΑዴߥႝၡૈᅈىਁ ᕏచҹǴךॺ೯தᒧ᏷ܫεᏔቚ੻ԿϿࣁ܌ሡॶޑΒ܈ࢂΟ७а΢Ƕ ΢ॊޑ૸ፕࢂଞჹॄӣ௤ႝၡԶقǴ܌аЃլᇬහޑಃΒచҹ࣬ Տୃ౽ࣁ

0 0 180 H jZ Ǵऩࢂ҅ӣ௤س಍ګǻךॺஒճҔკ3.3ٰբ ૸ፕǶკ3.3Ȑaȑࣁॄӣ௤س಍Ǵޔࢬ೽ϩගٮΑ 0 180 ࣬Տୃ౽Ǵᓎ ౗࣬ᜢޑ࣬Տୃ౽ࣁ 0 180 Ǵᅈى࣬Տୃ౽చҹǹკ3.3Ȑbȑࣁ҅ӣ௤ س಍Ǵޔࢬ࣬Տୃ౽ࣁ 0 0 Ǵᓎ౗࣬ᜢޑ࣬Տୃ౽ࣁ 0 360 ǴԜచҹϝё ౢғਁᕏǹკ3.3Ȑcȑࣁ҅ӣ௤س಍Ǵޔࢬ࣬Տୃ౽ࣁ 0 0 Ǵᓎ౗࣬ᜢ ࣬Տୃ౽ࣁ 0 0 ǴԜႝၡϝ಄ӝਁᕏచҹǶᕴԶقϐǴคፕࢂ҅ӣ௤س ಍܈ࢂॄӣ௤س಍Ǵޔࢬ࣬Տୃ౽ᆶᓎ౗࣬ᜢ࣬Տୃ౽ϐکࣁ 0 0 ܈ࢂ 0 360 ϐ७ኧਔǴ٩ᙑࢂᅈىЃլᇬහޑ࣬Տୃ౽చҹǶ

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 19 ೯தӧ৔ᓎᑈᡏႝၡޑ೛ी྽ύǴத཮࿼Ε΋ঁᓎ౗ᒧ᏷ႝၡǴ ӵ LC Ӆਁ๚Ǵаᆐڗ܌ሡޑਁᕏᓎ౗ǴԶԜᓎ౗ᒧ᏷ႝၡຎࣁӣ௤ ႝၡޑ΋೽ҽǴѸ໪ᅈىЃլᇬහྗ߾Ƕ

ଯᓎॄႝߔᢀᗺ

ନΑᜪКႝၡޑӣ௤ᢀᗺϐѦǴଯᓎႝၡ೯தаॄႝߔޑᢀᗺٰ ೛ीਁᕏᏔႝၡǶޔᢀޑӵკ 3.5Ȑaȑ܌ҢǴࣁ΋ঁڀԖႝߔRpཞ઻ ޑߚ౛གྷӅਁ๚ǴऩԜӅਁ๚ᒡΕ΋ঁેፂႝࢬǴ߾ᒡрૻဦ཮Ӣࣁ ႝߔRp੃઻ૈໆԶ೷ԋ૰෧Ǵ٬ளૻဦ੃ѨǶऩߚ౛གྷӅਁ๚٠ᖄ ΋ঁR ޑॄႝߔǴӵკ 3.5Ȑbȑ܌ҢǴ߾᏾ᡏႝߔॶR &R ஒ཮ კ 3.3 аόӕᢀᗺϩ݋ਁᕏచҹǺȐaȑॄӣ௤Ǵ࣬Տ 180oǶ Ȑbȑ҅ӣ௤Ǵ࣬Տ 360oǶȐcȑ҅ӣ௤Ǵ࣬Տ 0oǶ ˛ʻ̆ʼ ˄ˋ˃ʳ̂ ʻ˴ʼ ˛ʻ̆ʼ ˆˉ˃ʳ̂ ʻ˵ʼ ˛ʻ̆ʼ ˃ʳ̂ ʻ˶ʼ კ 3.4 ࿼Ε΋ঁᓎ౗ᒧ᏷ႝၡܭӣ௤ႝၡύ ˛ʻ̆ʼ ˩̂̈̇ʻ̆ʼ ˩˼́ʻ̆ʼ ᙮෷ᙇᖗሽሁ

(32)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 20 ᖿ߈คज़εǴ٬ளႝၡԋࣁคཞ઻ޑ౛གྷӅਁ๚ǴӢԜᒡрݢࠠஒό ཮૰෧ǶԶ೯தॄႝߔǴёᙖҗЬ୏ႝၡٰౢғǶ კ 3.5Ȑaȑߚ౛གྷӅਁ๚ კ 3.5Ȑbȑߚ౛གྷӅਁ๚٠ᖄ΋ॄႝߔ

a

Z

s

Z s

_r

კ 3.6 ൂ୵ॄႝߔਁᕏᏔ

(33)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 21 ΢ॊࢂаޔᢀޑБԄٰှញճҔॄႝߔٰ೛ीਁᕏᏔޑচ౛Ǵа ΠךॺஒҔ၁ಒޑ௢Ꮴٰ᛾ܴǶკ 3.6 ࣁ΋ঁൂ୵ॄႝߔਁᕏᏔϐҢ ཀკǴႝၡёϩࣁٿঁ೽ҽǴϩձࣁЬ୏ႝၡᆶӅਁႝၡǴЬ୏ႝၡ ගٮॄႝߔᆶRp٠ᖄౢғคज़εߔלǹӅਁႝၡ߾ࢂҔٰ྽଺ᓎ౗ ᒧ᏷Ƕଷ೛Ь୏ႝၡᒡΕߔלࣁZa

s کӅਁ๚ႝၡޑᒡΕߔלࣁ

r Z s Ƕ ךॺёҔკ 3.7 ٰ߄Ңൂ୵ॄႝߔਁᕏᏔޑλૻဦኳࠠǴճҔլ ׆ᇲϻႝࢬۓࡓȐKCLȑǴёаቪрႝၡޑБำԄӵΠǺ

1 11 12 1 21 22 11 12 2 3 21 22 3 0 0 0 a a a a r r r r I Y Y V Y Y Y Y V I Y Y V · · · § § § ¸ ¸ ¸ ¨ ¨ ¨ ¸ ¸ ¸ ¨ ¨ ¨ ¨ ¸ ¨ ¸¨ ¸ © ¹ © ¹© ¹ Ȑ3.5ȑ ځύΠ኱aࣁЬ୏ႝၡ೽ҽǴΠ኱rж߄Ӆਁႝၡ೽ҽǶਁᕏޑచ ҹࢂǴ྽Ѧ೽คૻဦᒡΕਔȐI1=I3=0ȑǴႝၡϝ཮ԖᒡрߞဦȐV1,V2,V3 ࣣό฻ܭ0ȑǶ 1

V

₂

V

₃ 1

I

2

I

3 11a

Y

_{22 a}

Y

_11r

Y

_{22 r} 12a 2

Y V

21a 1

Y V

12r 3

Y V

21r 2

Y V

კ 3.7 ൂ୵ॄႝߔਁᕏᏔϐλૻဦኳࠠ

(34)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 22 ӢԜǴ

11 12 21 22 11 12 21 22 0 det 0 0 a a a a r r r r Y Y Y Y Y Y Y Y Ȑ3.6ȑ ջǴ

11a 11r 22r 21r 12r 22r 11a 22a 21a 12a 0 Y Y Y Y Y Y Y Y Y Y Ȑ3.7ȑ ΞЬ୏ႝၡکӅਁ๚ޑ฻ਏႝᏤϩձࣁǺ

21 12 22 11 a a a a a Y Y Y s Y Y Ȑ3.8ȑ

21 12 11 22 r r r r r Y Y Y s Y Y Ȑ3.9ȑ ځӝࣁǺ

11

11 22 21 12

22

11 22 21 12

11 22 a r r r r r a a a a a r a r Y Y Y Y Y Y Y Y Y Y Y s Y s Y Y Ȑ3.10ȑ җȐ3.7ȑԄёޕȐ3.10ȑԄϐکࣁ႟ǴӢԜךॺёаளډൂ୵Ӆ ਁႝၡޑਁᕏచҹࣁǺ

0

a r

Y s

Ȑ3.11ȑ ӢԜךॺёаճҔЬ୏ႝၡ೛ी΋ঁॄႝߔǴ٠ճҔӅਁ๚բᓎ ౗ᒧ᏷Ǵٰ೛ी΋ঁਁᕏᏔႝၡǶ

(35)

3.2.2 ᕉࠠਁᕏᏔ

२ӃךॺԵቾӵკ3.8ޑൂཱུᗺӣ௤س಍Ǵႝ඲ᡏM1ᄬԋ΋Ӆྍ ભܫεᏔႝၡǴගٮΑ 0 180 ޑޔࢬ࣬Տୃ౽ǴԶႝߔRᆶႝ৒CѝԖ ӧᓎ౗ᖿ߈ܭคज़εਔǴωёගٮ 0 90 ޑ࣬Տୃ౽ǴӢԜǴԜൂཱུᗺ ӣ௤س಍നεѝёගٮ 0 270 ޑ࣬Տୃ౽ǴႝၡคݤᅈىЃլᇬහޑଆ ਁ࣬ՏచҹǶ ऩךॺӭуΕ΋ঁӅྍભܫεᏔǴ٬ளႝၡԋࣁᚈཱུᗺޑӣ௤س ಍Ǵӵკ3.9܌ҢǴ߾Ԝႝၡനεёගٮ 0 540 ࣬Տୃ౽Ȑ 0 0 360 180 Ǻ 0 360 ࣁޔࢬ࣬ՏǴ 0 180 ࣁRCႝၡ܌ගٮޑჹε࣬Տୃ౽ȑǴᗨฅӧᓎ ౗ௗ߈႟ਔǴёᅈىЃլᇬහଆਁޑ࣬ՏచҹǴฅԶԜႝၡஒ཮วғ ᆊڋޑ౜ຝԶߚਁᕏǴӢࣁ྽V_aႝᓸ΋ޔ΢ϲਔǴ཮٬ளV_bႝᓸΠ फ़Ǵ೷ԋႝ඲ᡏM1ᜢഈǴӢԶวғΑᆊڋޑ౜ຝԶߚਁᕏǶ კ 3.8 ൂཱུᗺӣ௤س಍

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 24 ӧӣ௤ၡ৩ύуΕ΋ঁ౛གྷޑϸ࣬ܫεᏔǴӵკ3.10܌ҢǴ߾Ԝ ӣ௤ႝၡനεёаౢғ 0 720 Ȑ 0 0 540 180 ȑޑ࣬Տୃ౽ǴฅԶٿঁRC ཱུᗺౢғޑ 0 180 ࣬Տୃ౽ໆѸ໪ӧᓎ౗ࣁคज़εਔω཮ౢғǴӢԜǴ ԜႝၡϝฅคݤᅈىЃլᇬහଆਁޑ࣬ՏచҹǶ კ3.11ࣁΟཱུᗺӣ௤س಍ႝၡǴԜӣ௤ႝၡനεёаගٮ 0 810 Ȑ 0 0 540 270 ȑޑ࣬Տୃ౽ǴऩΟঁRCཱུᗺӧZ0ౢғ 0 180 ޑ࣬Տୃ ౽ໆǴႝၡஒёᅈىЃլᇬහଆਁޑ࣬ՏచҹǴӕਔऩ؂ঁൂભܫε კ 3.9 ᚈཱུᗺӣ௤س಍ კ 3.10!࿼Ε΋ঁ౛གྷϸ࣬ܫεᏔܭᚈཱུᗺӣ௤

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 25 ғਁᕏǴԶλߞဦޑਁᕏᓎ౗ࣁZOSC 3Z0ǴځύZ0ࣁ؂ભႝၡޑ 3dBᓎቨǶ 2 O A Ȑ3.12ȑ 0 3 OSC Z Z Ȑ3.13ȑ ჴሞਁᕏᏔޑᒡрૻဦஒ཮೏ႝၡޑߚጕ܄੝܄܌ज़ڋՐǴӢԜ ӧ՗ᆉਁᕏᓎ౗ਔǴനࡕޑਁᕏᓎ౗Ѹ໪аεߞဦࣁЬǴӵკ3.12܌ ҢǴ؂ঁϸᙯႝၡ཮ۯᒨTdਔ໔೏᝻วǴӢԜёаளډεߞဦຼයࣁ 6TdǶ კ 3.11!Οཱུᗺӣ௤س಍ კ 3.12!εߞဦਁᕏݢࠠ

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 26 ӕ౛ёаᕇளӭભᕉࠠਁᕏᏔǴӵკ3.13܌ҢǴϩձࣁൂᆄᒡр ᆶৡ୏ᒡрޑႝၡࢎᄬҢཀკǴਁᕏᓎ౗ё௢ளӵȐ3.14ȑԄǺ 1 2 OSC f N Td Ȑ3.14ȑ

3.2.3 LC

ਁᕏᏔ

ҬᒱጠӝਁᕏᏔ

җ 3.2.1 ࿯ёޕǴ΋ঁߚ౛གྷޑ LC Ӆਁ๚཮Ӣࣁҁيႝߔ੃઻ ᓯӸޑૈໆԶคݤਁᕏǴऩ٠ᖄ΋ঁॄႝߔܭӅਁ๚ਔǴ߾᏾ᡏ฻ਏ ႝߔॶஒ཮ᖿ߈ܭคज़εǴ٬ளႝၡԋࣁ΋ঁคཞ઻ޑ౛གྷӅਁ๚Ǵ ӢԜૻဦஒό཮Ӣૈໆ੃઻Զ૰෧Ƕӵკ 3.14 ܌ҢǴҬᒱጠӝਁᕏ ᏔջࢂճҔ΢ॊচ౛܌೛ीޑਁᕏᏔǴךॺёҗаΠ௢ᏤளޕǴႝ඲ ᡏ M1 ᆶ M2 Ҭᒱ࣬ௗஒ฻ਏԋ΋ॄႝߔǶ კ 3.13 ӭભᕉࠠਁᕏᏔǺȐaȑൂᆄǶȐbȑৡ ୏Ƕ

(39)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 27 კ3.15Ȑbȑࣁკ3.15Ȑaȑϐ฻ਏႝၡǴךёаளډǺ 2 2 1 1 X m m I g V g Ȑ3.15ȑV Ъ 1 2 1 2 X X X m m I I V V V g g Ȑ3.16ȑ ܌а 1 2 1 1 X X m m V I g g · § _¨ _¸ © ¹ Ȑ3.17ȑ ऩgm1 gm2Ǵ߾ 2 X X m V I g Ȑ3.18ȑ Զᕇள΋ঁ฻ਏޑॄႝߔǶ კ 3.14!ҬᒱጠӝਁᕏᏔǶ

(40)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 28 ӢԜǴӧቚ੻ى୼ϐΠǴ٠Ъ೛ीႝ඲ᡏޑୃᓸ٬ளǺ 1 P m R g t Ȑ3.19ȑ ߾ԜႝၡஒёౢғਁᕏǴԶځਁᕏᓎ౗ஒҗLCӅਁ๚،ۓǴځ ᓎ౗ࣁǺ 1/ 2 osc p p f S L C Ȑ3.20ȑ კ 3.15 ȐaȑྍཱུᒿጠᏔǶȐbȑ฻ਏႝၡǶ კ 3.16 Ҭᒱጠӝ᎜ᕏᏔॄႝߔҢཀკǶ

(41)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 29 ߄ 3.1 ᕉࠠਁᕏᏔᆶ LC ਁᕏᏔϐКၨ Items ᕉࠠਁᕏᏔ LC ਁᕏᏔ ᒡрф౗ ၨλ ၨε ࣬Տᚇૻ ၨৡ ၨӳ ёፓጄൎ ၨε ၨλ ඲Тय़ᑈ ၨλ ၨε

3.3 ख़ाୖኧ

3.3.1 ࣬Տᚇૻ

࣬ՏᚇૻࢂਁᕏᏔനख़ाޑ΋ঁࡰ኱ǴځቹៜΑ᏾ঁคጕ೯ૻس ಍ޑࠔ፦ǶਁᕏᏔനதـޑᚇૻٰྍϩձࣁ೏୏ႝၡޑႝߔǵႝ৒ǵ ႝ ག ᆶ Ь ୏ ႝ ၡ ޑ ႝ ඲ ᡏ ᚇ ૻ Ǵ ᚇ ૻ ё ϩ ࣁ ଢ ᛉ ᚇ ૻ Ȑ Flicker Noiseȑǵ዗ᚇૻȐThermal Noise ȑᆶ৔ᚇૻȐShot NoiseȑǶҗܭਁ ᕏᏔჹܭྕࡋϷᚇૻ࣬྽௵གǴ྽ྕࡋᡂϯ܈ᚇૻӸӧਔǴஒ཮ቹៜ ਁᕏૻဦӧਁ൯ǵ࣬ՏϷᓎ౗ޑᛙۓࡋǴΨ൩ࢂ܌ᒏޑAMǵPMϷFM ᚇૻǶӵკ3.17܌ҢǴਁᕏᏔӢྕࡋ܈ᚇૻ٬ளૻဦޑਁ൯ǵ࣬Տᆶ ᓎ౗ౢғׯᡂǴ٬ளૻဦҗA_ccos

Z_c t T

ׯᡂԿ '

'

cos c c A Z t T Ƕ კ 3.17 ૻဦ࣬ໆୃ౽ໆǶ cos c c A Z t T

' ' cos c c A Z t T

(42)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 30 c f f 1Hz c f 'f carrier P sideband P ೯தྕࡋϷᚇૻჹܭਁᕏᏔޑᒡрਁ൯ׯᡂໆόεǴЪനࡕ཮ᖿ ܭᛙۓǴӢԜёаଷ೛ૻဦਁ൯ࣁ΋தኧǶଷ೛ਁᕏᏔޑᒡрࣁ Ȑ3.21ȑԄǴځύTn

t ࣁ࣬ՏᚇૻȐPMϷFMᚇૻȑǶ

_ccos _c _n

S t A ª_¬Z t T t º_¼ Ȑ3.21ȑ ऩT_n

t 1Ǵ߾Ǻ

_c cos

_c

_c _n

sin

_c

S t |A Z t A T t Z t Ȑ3.22ȑ ځύA_ccos

Z_c t

ࣁਁᕏᏔᒡрޑૻဦǴA_cT_n

t sin

Z_c t

ࣁᚇ ૻǴऩаᓎ᛼ᢀჸਁᕏᏔޑૻဦǴஒё࣮ډૻဦᓎ᛼཮׎ԋဵ஥౜ຝǶ ӵკ3.19܌ҢǴ࣬ՏᚇૻޑۓကࣁȐ3.23ȑԄǺ კ 3.19 ۓက࣬Տᚇૻ! კ 3.18 Ȑaȑ౛གྷਁᕏᏔǶȐcȑߚ౛གྷਁᕏᏔǶ c

Z

_c

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10log sideband

c ,1

/

carrier P f f Hz L f dBc Hz P ' ª º ' _« _» ¬ ¼ Ȑ3.23ȑ җLesson’s ModelȐ3.24ȑԄёޕǴऩගܹᒡрਁᕏᏔޑᒡрф౗ ᆶႝၡQॶǴஒ཮ׯ๓ਁᕏᏔᒡрޑ࣬ՏᚇૻǶ

3 2 1 0 2 10 log 1 1 2 f carrier FkT L P Q Z Z Z Z Z ª _° _§ _· ½_°§ ' ·º « » ' _® _¨ _¸ _¾_¨_¨ _¸_¸ ' ' « _°_¯ _© _{¹ °}_¿_© _¹» ¬ ¼ Ȑ3.24ȑ Եቾ࣬Տᚇૻჹคጕ೯ૻس಍ޑቹៜǶკ3.21Ȑaȑࣁ΋ঁ౛གྷ ਁᕏᏔޑௗԏᐒس಍ǴЬૻဦ࿶షᓎᏔफ़ᓎϐࡕǴ٠ό཮೏ᎃ߈ޑૻ ဦ๏υᘋǹკ3.21Ȑbȑࣁ΋ߚ౛གྷਁᕏᏔޑௗԏᐒس಍Ǵऩ࣬Տᚇ ૻޑࠔ፦όӳǴЬૻဦ཮೏ᎃ߈ޑૻဦ๏ᙟᇂǶკ3.22Ȑaȑࣁ΋ঁ ౛གྷਁᕏᏔޑว৔ᐒس಍ǴЬૻဦ࿶షᓎᏔϲᓎϐࡕǴ٠ό཮υᘋᎃ ߈ޑૻဦǹკ3.22Ȑbȑࣁ΋ߚ౛གྷਁᕏᏔޑௗԏᐒس಍Ǵऩ࣬Տᚇ კ 3.20 Lesson’s Model! 3 1 f 2 1 f 3 1 f Z ' 0 2Q Z 2 10log carrier FkT P · § ¸ ¨ © ¹

log 'Z L 'Z

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 32 ૻޑࠔ፦όӳǴ߾Ьૻဦஒ཮υᘋᎃ߈೯ၰޑૻဦǶҗ΢ॊёޕǴ΋ ঁࠔ፦ό٫ޑᓸ௓ਁᕏᏔǴஒ཮εεޑቹៜ᏾ঁ೯ૻس಍ޑࠔ፦Ǵ܌ а࣬Տᚇૻࢂᓸ௓ਁᕏᏔനख़ाޑ΋ঁࡰ኱Ƕ კ 3.21 ࣬ՏᚇૻჹௗԏᐒޑቹៜǺȐaȑ౛གྷਁᕏ ᏔǶȐbȑჴሞਁᕏᏔǶ! 0 f f | _f 0 f f | _f კ 3.22 ࣬Տᚇૻჹว৔ᐒޑቹៜǺȐaȑ౛གྷਁᕏ ᏔǶȐbȑჴሞਁᕏᏔǶ! f f 2 f f₁ f₂ f₁

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3.3.2 ႝၡቚ੻Ȑёፓጄൎȑ

౜Ϟคጕ೯ૻس಍εӭ٬ҔϩᓎӭπޑБԄٰ໺ଌૻဦǴӢԜӧ ೛ीਁᕏᏔਔǴѸ໪೛ी΋ঁёᡂޑᓎ౗٠Ъᅈى೯ૻೕጄჹᓎቨޑ ा؃Ǵ٬ளૻဦӧၢᓎਔǴషᓎᏔૈᕇள҅ዴޑୖԵᓎ౗ǶਁᕏᏔᒡ рᓎ౗ࣁ΋௓ڋᒡΕϐڄኧǴԜڄኧ΋૓ࣁႝᓸǶ΋ঁ౛གྷϐႝᓸ௓ ڋਁᕏᏔޑᒡрᓎ౗ჹܭႝᓸᡂϯѸ໪ࣁጕ܄ޑǴӵკ3.23܌ҢǴԶ ᓎ౗߾ࣁႝᓸϐጕ܄ڄኧȐ3.25ȑԄǴځύKVCOёᆀࣁႝၡቚ੻Ǵჹ ΋ঁؼӳޑᓸ௓ਁᕏᏔԶقǴKVCOѸ໪ࣁۓॶǶԶ f1 ~ f2ᆀࣁёፓᓎ ౗ጄൎǴѸ໪಄ӝ೯ૻೕ਱܌ۓᓎቨጄൎǶ

f_osc f₀ K_VCOV_Tune Ȑ3.25ȑ

3.3.3 ᒡрф౗

ਁᕏᏔޑᒡрф౗ჹܭ᏾ᡏޑ೯ૻس಍Ψࢂ࣬྽ख़ाǴऩౢғޑ ᒡрф౗ϼεǴஒ཮٬ளషݢᏔ຾ΕႫک୔Ǵቹៜႝၡޑጕ܄ࡋǹऩ ౢғޑф౗ϼλǴ߾Ԗёૈ཮ຬၸନᓎᏔޑᡫ௵ࡋǴஒ཮٬ளନᓎᏔ คݤ҅த຾Չନᓎޑ୏բǴԶ΋ঁ౛གྷޑᓸ௓ਁᕏᏔޑᒡрф౗ჹܭ ௓ڋႝᓸԶقǴѸ໪ᆢ࡭΋ঁۓॶǴаᆢ࡭᏾ঁ೯ૻس಍ޑࠔ፦Ƕ კ 3.23 ᓸ௓ਁᕏᏔޑቚ੻ 1 f 2 f osc f 0 f

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3.4 LC

Ӆਁ๚ႝག೛ी

3.4.1 ѳय़ႝག

ႝགǵႝ৒ࣁLCਁᕏᏔਔࢂόёલϿޑϡҹǴԶҗLesson’s Model Ȑ3.24ȑԄёޕǴӅਁ๚ޑQॶஒ཮ቹៜႝၡޑ࣬ՏᚇૻǴӢԜѸ໪ ೛ी΋ঁଯQޑӅਁ๚аᕇளؼӳޑ࣬ՏᚇૻǶႝ৒ޑQॶ೯தࡐ ଯǴ࣬ϸեǴଯQॶޑႝགόܰᕇளǴӢԜႝགεεቹៜਁᕏᏔ࣬Տ ᚇૻޑ߄౜Ƕკ3.24ࣁ΋૓தـޑѳय़ႝགǴځύWࣁጕቨǵSࣁጕ ຯǵaࣁϣ৩ǴDࣁѦ৩Ƕკ3.25ࣁGaAs୷݈ޑႝག฻ਏኳࠠǴځύCo ࣁߎឦቫ΋ᆶߎឦቫΒख़᠄ޑႝ৒ǵRߎឦޑཞ઻ႝߔǵCsubࣁ୷݈ ޑႝ৒Ƕ W D D N turns S კ 3.24 ѳय़ႝག! კ 3.25 GaAs ႝག฻ਏኳࠠ sub C Csub

L

R

o

C

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 35 ೛ीѳय़ႝགਔѸ໪ԵቾޑୢᚒӵΠǺ Ȑ1ȑʳёаቚуߎឦࠆࡋᆶቨࡋа෧Ͽߎឦཞ઻RΔቚуႝག Q ॶǶ ӢԜӧբႝགթֽਔǴ೯த٬Ҕന΢ቫࠆࡋၨࠆޑߎឦቫǶ Ȑ2ȑʳጕຯλޑႝགځ໺ᒡጕ໔ޑϕགၨமǴڀԖၨεޑႝགॶǴӢ Ԝᕇள࣬ӕႝགॶޑᕴߏᕭอǴԶ෧Ͽߎឦཞ઻RǴቚуႝག QॶǶ Ȑ3ȑʳਥᏵႝᅶኳᔕޑ่݀Ǵനϣ୮ႝࢬ཮ཱུᆄޑϩթܭϣ୮໺ᒡጕ ޑᜐጔǴቚуߎឦཞ઻Δ٬ள੃઻ф౗ቚуǴफ़ե Q ॶǶ೯த ϣ৩໪ࣁ໺ᒡጕቨޑ 5 ७Ǵёᗉխ΢ॊޑલᗺǶ Ȑ4ȑʳᓎ౗Ѹ໪೛ीӧӅਁᓎ౗ϐ߻ᆶ Qmax ޑߕ߈Ƕ

3.4.2 ጠӝႝག

ऩ٬ҔεགॶޑႝགਔǴѸ໪٬ҔεޑႝགթֽǴ೭ஒ཮٬ளႝ ག՞Ᏽ IC ޑε೽ϩय़ᑈǴҗܭ IC य़ᑈκβκߎǴ܌аႝགޑႝၡթ ֽΨࢂѸ໪ԵໆޑǶךॺёаճҔ IC ޑᇙำБԄǴӵკ 3.26 ܌ҢǴ ஒٿঁႝགϕ࣬୴᠄Ȑጠӝႝགȑаቚуႝགޑགॶᆶ Q ॶǶ კ 3.26 ጠӝႝག!

(48)

კ 3.27 ࣁጠӝႝགҢཀკǴځύଷ೛ Coil 1 ޑጕ୮႔ኧࣁN1Ǵ

Coil 2ޑጕ୮႔ኧࣁN2ǴCoil 1ӢႝࢬI1܌ౢғޑᅶ೯ໆࣁI11ǴCoil 2

ӢႝࢬI2܌ౢғޑᅶ೯ໆࣁI22Ǵጕ୮ Coil 1 ౢғޑᅶ೯ໆ࿶ၸጕ୮

Coil 2ࣁI21Ǵጕ୮ Coil 2 ౢғޑᅶ೯ໆ࿶ၸጕ୮ Coil 1 ࣁI12Ƕ

ጕ୮ Coil 1 ᆶ Coil 2 ޑᅶ೯шೱኧࣁǺ 1 1 11 1 12 T N N I I I Ȑ3.26ȑ 2 2 22 2 21 T N N I I I Ȑ3.27ȑ ځύǴ 1 11 1 1 N I L I Ȑ3.28ȑ 2 22 2 2 N I L I Ȑ3.29ȑ ЪǴ 1 12 2 N I M I Ȑ3.30ȑ N I M I Ȑ3.31ȑ კ 3.27 ጠӝႝག! 11 I 21 I 22 I 12 I 12 K2 22 I I 21 K1 11 I I

(49)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 37 ܌аǴёаளډv1ᆶv2ϩձࣁǺ 1 1 2 2 1 1 1 1 1 T d dI dI dI dI v L M L M dt dt dt dI dt I § · _¨ _¸ © ¹ Ȑ3.32ȑ 2 2 1 1 2 2 2 2 2 T d dI dI dI dI v L M L M dt dt dt dI dt I § · _¨ _¸ © ¹ Ȑ3.33ȑ ӢԜǴ 2 1 1 1 T dI L L M dI Ȑ3.34ȑ 1 2 2 2 T dI L L M dI Ȑ3.35ȑ ऩ 2 1 1 dI dI Ъӧ౛གྷރݩϐΠǴL1 L2Ǵଽӝ߯ኧK 1ਔǴёள ႝགޑགॶᆶ Q ॶࣁǺ 1 2 1 T L L Ȑ3.36ȑ 1 2 1 T Q Q Ȑ3.37ȑ

3.4.3 ୴᠄ႝག

კ 3.28 ࣁٿঁႝགϐՍᖄ୴᠄ǴԜ୴᠄Սᖄႝགϐགॶനεஒ ཮Кൂ΋ঁႝགϐགॶεѤ७Ǵ၁ಒޑ௢ᏤӵΠǺ

(50)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 38 კ 3.29 ࣁٿঁጕ୮ႝགՍௗޑҢཀკǴځύଷ೛ Coil 1 ޑጕ୮ ႔ኧࣁN1ǴCoil 2ޑጕ୮႔ኧࣁN2ǴCoil 1 Ӣႝࢬ I ܌ౢғޑႝ೯ஏ ࡋࣁB11ǴCoil 2Ӣႝࢬ I ܌ౢғޑႝ೯ஏࡋࣁB22Ǵጕ୮ Coil 1 ౢғޑ ᅶ೯ஏࡋ࿶ၸጕ୮ Coil 2 ࣁB21Ǵጕ୮ Coil 2 ౢғޑᅶ೯ஏࡋ࿶ၸጕ ୮ Coil 1 ࣁB12Ƕ ਥᏵႝᅶᏢޑ୷ҁۓ౛ёޕǴጕ୮ޑᅶ೯ஏࡋᆶጕ୮႔ኧԋ҅ КǴЪٿঁጕ୮ޑ࣬ჹଽӝ߯ኧ࣬฻Ǵ߾ёளǺ 11 1 22 2 B N B N Ȑ3.38ȑ კ 3.28 ୴᠄ႝག კ 3.29 ٿঁጕ୮ႝགՍௗ 1 N N2 11 B B12 B21 B21 21 1 11 B K B B12 K2B22

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 39 ଷ೛ጕ୮ Coil 1 ᆶ Coil 2 ޑᅶ೯ໆϩձࣁIT1ᆶIT2Ǵ߾Ǻ

1 11 12 1 1 T _s B B N ds I

_³

Ȑ3.40ȑ

2 22 21 2 2 T _s B B N ds I

_³

Ȑ3.41ȑ ߾ёளጕ୮ Coil 1 ᆶ Coil 2 ޑᕴႝགϩձࣁǺ 2 11 1 1 1 1 2 1 1 1 1 1 s T T N K B N ds N N L K L I I N I · § _¸ ¨ _§ _· © ¹ ¸ ¨ © ¹

³

Ȑ3.42ȑ 1 22 2 2 2 2 1 2 2 2 1 1 s T T N K B N ds N N L K L I I N I · § _¸ ¨ _§ _· © ¹ ¸ ¨ © ¹

³

Ȑ3.43ȑ ځύL1ᆶL2ϩձࣁጕ୮ Coil 1 ᆶ Coil 2 ޑԾགǺ 11 1 1 1 sB N ds L I

³

_Ȑ3.44ȑ 22 2 2 2 sB N ds L I

³

_Ȑ3.45ȑ ٠ЪёளL1ᆶL2ϐགॶКࣁǺ 2 1 1 2 2 2 L N L N Ȑ3.46ȑ ߾ёளጕ୮ Coil 1 ᆶ Coil 2 ՍᖄޑᕴႝགࣁǺ

(52)

2 1 1 2 1 2 2 1 1 2 1 2 1 2 1 2 2 1 1 2 1 1 T N N L K L K L N N N N L L K L L N N L L K L L L L · · § § _¸ _¸ ¨ ¨ © ¹ © ¹ · § _¨ _¸ © ¹ Ȑ3.47ȑ ΞਥᏵႝᅶᏢޑ୷ҁۓ౛ёளϕགࣁǺ 1 2 M K L L Ȑ3.48ȑ ё؃ளᕴႝགࣁǺ 1 2 2 T L L L M Ȑ3.49ȑ ӢԜӧ౛གྷރݩϐΠǴL1 L2Ǵଽӝ߯ኧK 1ਔǴёளႝགᆶ Q ॶࣁǺ 1 4 T L L Ȑ3.50ȑ 1 2 T Q Q Ȑ3.51ȑ ऩԖNঁ୴᠄ႝགǴ߾ӕ౛ё᛾Ǻ 1 1 1 ; 0, n n T N ij i j ij ij i j ij L L L M M K L L M i j

¦¦

Ȑ3.52ȑ

(53)

3.5 ጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔ

3.5.1 ႝၡচ౛Ϸࢎᄬ

ךॺԜԛ٬ҔGCT 2.0 um InGap/GaAs HBTޑᇙำٰჴ౜ጠӝႝ གৡ୏࣬Տᓸ௓ਁᕏᏔႝၡȐCoupled Inductor Differential Phase Voltage Controlled OscillatorȑǶHBTޑᇙำ࣬ၨܭCMOSᇙำמೌԶق Ԗၨӳޑ๊ጔ୷݈ǵаϷၨଯޑᄒЗᓎ౗ᆶਁᕏᓎ౗Ƕ ໺಍ճҔ Crossed-Coupled Pair ޑࢎᄬٰ೛ीਁᕏᏔႝၡਔǴऩ аӣ௤БԄٰϩᜪǴёϩࣁ 1.ޔௗӣ௤Ǵკ 3.30Ȑaȑ܌ҢǶ 2.ճҔႝ৒բӣ௤Ǵკ 3.30Ȑbȑ܌ҢǶ კ 3.30 Crossed-Coupled Pair ᓸ௓ਁᕏᏔǺ Ȑaȑޔௗӣ௤ǶȐbȑႝ৒ӣ௤Ƕ

(54)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 42 ௦ҔȨޔௗӣ௤ȩࢎᄬਔǴऩਁᕏᏔޑᒡрਁ൯ၸεਔǴ཮೷ԋ ୷ཱུ-໣ཱུௗय़໩ୃǴ຾ΕႫک୔ǴԶߚךॺགྷा଍ୃރᄊޑЬ୏୔Ǵ ܌аځᒡрႝᓸਁ൯ஒ཮೏Ԝ୷ཱུ-໣ཱུޑௗय़܌ज़ڋՐǶԶऩ௦Ҕ ಃΒᅿȨႝ৒ӣ௤ȩϐႝၡਔǴԜਔᗨёаஒ୷ཱུޑႝᓸୃᓸӧႝ඲ ᡏޑЬ୏୔ǴԶׯ๓Ӣ୷ཱུ-໣ཱུௗय़໩ୃ܌೷ԋޑਁ൯ज़ڋǶՠࣁ ΑٛЗ৔ᓎૻဦอၡԿӦǴԜႝၡࢎᄬѸ໪ӧ୷ཱུуΕ΋ঁଯߔלޑ ϡҹٰගٮୃᓸǴԶԜϡҹ೯தࣁႝߔ܈ࢂႝགǴ྽٬Ҕႝߔբୃᓸ ਔǴႝߔ܌೷ԋᚇૻஒ཮٬ள࣬Տᚇૻᡂৡǹऩ٬ҔႝགǴ߾཮εε ޑቚуႝၡޑय़ᑈǶӢԜǴࣁΑׯ๓΢ॊٿᅿࢎᄬޑલᗺǴךॺԜԛ ೛ीޑӣ௤ࢎᄬǴࢂճҔȨጠӝႝགጠӝӣ௤ȩٰ೛ी೭ԛޑᓸ௓ਁ ᕏᏔǶ კ 3.31 ጠӝႝགӣ௤ᓸ௓ਁᕏᏔ

(55)

ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 43 ךॺԜԛ೛ीޑȨጠӝႝགᓸ௓ԄਁᕏᏔȩӵკ 3.31 ܌ҢǴԜ ೛ीӕኬΨ௦Ҕ Crossed-Coupled Pair ޑਁᕏᏔࢎᄬǴ࣬ၨа۳όӕ ޑӦБࢂǴךॺஒճҔጠӝႝགբࣁӣ௤ޑၡ৩ǶԶচ౛ࢂஒךॺ܌ ाޑӣ௤ૻဦǴ೸ၸႝགޑጠӝӣډᒡΕᆄǶԜࢎᄬ࣬ၨȨޔௗӣ௤ȩ ޑӳೀࢂǺᒡрႝᓸޑਁ൯ό཮Ӣ୷ཱུ-໣ཱུௗय़܌ज़ڋǴёᕇளၨ εᒡрਁ൯ǹคሡ٬Ҕୃᓸႝߔ܈ࢂႝགǴёׯ๓࣬Տᚇૻ܈ࢂႝၡ य़ᑈǹҗ 3.4.2 ࿯ёޕǴ٬ҔጠӝႝགࢎᄬΨёаቚуႝག Q ॶǶ ՠҗܭ HBT ᇙำѝૈճҔٿቫߎឦٰᙅጕǴ܌аा೛ीԋ୴᠄ Ԅޑጠӝႝག࣬྽όܰǴӢԜךॺճҔ੝ਸޑᙅጕБݤǴٰၲԋѝճ ҔٿቫߎឦǴ൩ё೛ी΋୴᠄ጠӝႝགϐႝၡǴӵკ 3.32 ܌ҢǶԶ კ 3.33 ࣁճҔ IE3D ޑኳᔕ่݀Ƕ კ 3.32 ጠӝႝགϐႝၡթֽǺȐaȑߎឦ ቫ΋ǶȐbȑߎឦቫΒǶ Ȑaȑ Ȑbȑ

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 44 კ 3.34 ࣁৡ୏࣬Տᓸ௓ਁᕏᏔޑႝၡკǴх֖Αᓸ௓ਁᕏᏔЬ ᡏႝၡǵ጗ፂભႝၡᆶႝࢬ᜔ႝၡǶ კ 3.33 ճҔ IE3D ኳᔕጠӝႝགǺȐaȑኳᔕკǶ Ȑbȑኳᔕ่݀Ƕ 2 3 4 5 6 7 8 9 1 10 -20 -15 -10 -5 -25 0 freq, GHz dB (S (1 ,1 )) dB (S (2 ,1 )) dB (S (3 ,1 )) dB (S (4 ,1 )) Ȑaȑ Ȑbȑ კ 3.34 ጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔႝၡ

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3.5.2 ໆෳ่݀

Ԝԛ٬Ҕ Board Level ޑБԄໆෳጠӝႝགৡ୏࣬Տᓸ௓ਁᕏ ᏔǴୃᓸ٬Ҕ΋૓ѱ୧ޑᡵ܄ႝԣǶ კ 3.35 ጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔ Die Photo კ 3.36 Board Level ໆෳ

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კ 3.37 ᓎ౗ᆶф౗ໆෳ่݀

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 47 0 1 2 3 4 5 6.00 6.05 6.10 6.15 6.20 6.25 KVCO=40MHz/V Fr e q (G H z ) Vtune(V) 0 1 2 3 4 5 -16 -14 -12 -10 -8 -6 -4 -2 0 Powe r( d B m) Vtune(V) კ 3.39 ёፓጄൎໆෳ่݀ კ 3.40 Vtune ჹ Power ޑໆෳ่݀

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߄ 3.2 ጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔೕ਱

Items Measurement Result Frequency 6.02GHz ~ 6.22GHz

Bias Voltage Vcc=6V , Vmirror=6.27V , Vb=2.45

Current(core+buffer) 8.1 mA Vtune Voltage 0V ~ 5V Tuning Range 200 MHz KVCO 40 MHz/V Output Power -8.2 dBm Phase Noise -110.22dBc/Hz@1MHz Die Size 1000um X 1000um

߄ 3.2 ࣁጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔϐೕ਱Ǵਁᕏᓎ౗ࣁ 6.02GHz ~ 6.22GHzǵᒡрф౗-8.2 dBmǵёፓጄൎԖ 200 MHzǴ࣬Տ ᚇૻӧ 1MHz offset ࣁ-110.22dBc/HzǶӢԜךॺԋфჴ౜Αጠӝႝག ৡ୏࣬Տᓸ௓ਁᕏᏔޑႝၡ೛ीǶ

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3.6 ጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔ

3.6.1 ႝၡচ౛Ϸࢎᄬ

ךॺԜԛ٬ҔGCT 2.0 um InGap/GaAs HBTޑᇙำٰჴ౜ጠӝႝ ག҅Ҭ࣬Տᓸ௓ਁᕏᏔȐCoupled Inductor Quadrature Phase Voltage Controlled OscillatorȑǶHBTޑᇙำ࣬ၨܭCMOSᇙำמೌԶقԖၨӳ ޑ๊ጔ୷݈ǵаϷၨଯޑᄒЗᓎ౗ᆶਁᕏᓎ౗Ƕ ଷ೛ਁᕏᏔӵკ 3.41Ȑaȑ܌ҢǴQ1 Ϸ Q2 ࣁጠӝҔޑϡҹǴQ3 Ϸ Q4 ࣁਁᕏᏔਡЈႝၡǶკ 3.41Ȑbȑࣁკ 3.41Ȑaȑϐλૻဦ฻ਏ ኳࠠǴځύ Gm ࢂҗ Q1 ک Q2 ৡ୏ჹ܌೷ԋǹ-R ࣁ Q3ǵQ4 ౢғޑ ॄႝߔǴZt ߾ࣁ LC tank ϐߔלǶ კ 3.41 ȐaȑݙΕૻဦܭਁᕏᏔǶ Ȑbȑλૻဦኳࠠ

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 50 ऩஒٿঁ࣬ӕޑਁᕏᏔጠӝ࣬ௗǴӵკ 3.42 ܌ҢǴკ 3.43 ࣁځ λૻဦኳࠠǶ җკ 3.43 λૻဦኳࠠёаளډǺ 1 1 2 T m T RZ G V V Z R ΰ3.53α 2 2 1 T m T RZ G V V Z R ΰ3.54α კ 3.42 ȐaȑਁᕏᏔጠӝ࣬ௗ ȐbȑਁᕏᏔጠӝ࣬ௗႝၡკ კ 3.43 ਁᕏᏔጠӝ࣬ௗλૻဦኳࠠ

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 51 ଷ೛V1ᆶV2ό฻ܭ႟Ǵ٠ஒΰ3.53αᆶΰ3.54αΒԄ࣬ନǴёளǺ 2 2 1 1 2 2 0 m m G V G V ΰ3.55α ྽Gm1 Gm2ਔǴ߾V1 rV2 ྽Gm1 Gm2ਔǴ߾V1 rjV2 җ΢ॊ૸ፕޑ่݀ёޕǴऩஒٿਁᕏᏔϸ࣬ጠӝǴ߾ёаளډѤ ঁ࣬ՏޑᒡрǴջёளѤঁ࣬ՏӚৡ 90 ࡋޑߞဦǶጠӝႝག҅Ҭ࣬ Տᓸ௓ਁᕏᏔޑਡЈႝၡᆶ 3.6 ࿯ϐጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔ࣬ ӕǴӵკ 3.31 ܌ҢǶ კ 3.44 ࣁ҅Ҭ࣬Տᓸ௓ਁᕏᏔޑႝၡკǴх֖Αᓸ௓ਁᕏᏔЬ ᡏႝၡǵ጗ፂભႝၡᆶႝࢬ᜔ႝၡǶ კ 3.44 ጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔႝၡ

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3.6.2 ໆෳ่݀

Ԝԛ٬Ҕ Board Level ޑБԄໆෳጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏ ᏔǴୃᓸ٬Ҕ΋૓ѱ୧ޑᡵ܄ႝԣǶ კ 3.45 ጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔႝၡ Die Photo კ 3.46 Board Level ໆෳ

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კ 3.47 ᓎ౗ᆶф౗ໆෳ่݀

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ಃΟക ጠӝႝགᓸ௓᎜ᕏᏔ 54 0 1 2 3 4 5.30 5.35 5.40 5.45 5.50 5.55 5.60 KVCO=30MHz/V Fr e q (G H z ) Vtune(V) 0 1 2 3 4 -10 -8 -6 -4 -2 0 P o wer(dBm) Vtune(V) კ 3.49 ёፓጄൎໆෳ่݀ კ 3.50 Vtune ჹ Power ޑໆෳ่݀

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߄ 3.3 ጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔೕ਱

Items Measurement Result Frequency 5.41GHz ~ 5.53GHz

Bias Voltage Vcc(core)=4V ,Vcc(buffer)=4.2V ,Vmirror=4.9V ,Vb=2.5

Current(core) 3.2 mA Current(buffer) 16.7 mA Vtune Voltage 0V ~ 4V Tuning Range 120 MHz KVCO 30 MHz/V Output Power -3.5 dBm Phase Noise -108.92dBc/Hz@1MHz Die Size 1500um X 1000um

߄ 3.3 ࣁጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔϐೕ਱Ǵਁᕏᓎ౗ࣁ 5.41GHz ~ 5.53GHzǵᒡрф౗-3.5 dBmǵёፓጄൎԖ 120 MHzǴ࣬Տ ᚇૻӧ 1MHz offset ࣁ-108.92dBc/Hzǵᓸ௓ਁᕏᏔޑਡЈႝၡф౗ཞ ઻ࣁ 12.8mWǶӢԜךॺԋфჴ౜Αጠӝႝགৡ୏࣬Տᓸ௓ਁᕏᏔޑ ႝၡ೛ीǴԶᒡрф౗ၨৡ୏࣬ՏٰޑεǴ೭ࢂӢࣁךॺуεΑ጗ፂ ભޑႝࢬǴԶᡣᒡрߔלᡂλǴԶ٬ளф౗ૈ໺ሀډ 50 ኻۅޑໆෳ س಍Ƕ ߄ 3.4 ࣁӚਁᕏᏔޑፕЎКၨǴЎ᝘[1]ǵ[2]ᆶҁԛ܌௦Ҕޑᇙำ ࣬ӕǴёޕҁԛᓸ௓ਁᕏᏔᏱԖόᒱ߄౜Ƕ߄ 3.5 ۓက΋ୖኧ FOMǴ բࣁӚਁᕏᏔϐਁᕏᓎ౗ᆶ࣬Տᚇૻໆෳୃ౽ᓎ౗όӕਔϐКၨǶ

20log / 10log /1

offset osc offset diss

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߄ 3.4 යтፕЎϐКၨ

Items Freq Power Phase Noise [1] InGaP/GaAs 5.51GHz -13dBm -89.72dBc/Hz@100KHz [2] InGaP/GaAs 4.39GHz -2dBm -117.8 dBc/Hz@1MHz [3] SiGe 4.975GHz -3.5dBm -103 dBc/Hz@1MHz [4] SiGe 5GHz -13dBm -98 dBc/Hz@100KHz [5] 0.18um CMOS 5.5GHz -11.8 dBm -115 dBc/Hz@1MHz [6] Si BJT 5.8GHz -11dBm -105 dBc/Hz@3MHz [7] Si BJT 1.96GHz -8dBm -102 dBc/Hz@100KHz This WorkȐ1ȑ 6.2GHz -8.2dBm -110 dBc/Hz@1MHz This WorkȐ2ȑ 5.5GHz -3.5dBm -109 dBc/Hz@1MHz ߄ 3.5 යтፕЎϐКၨȐFOMȑ Items FOM [1] InGaP/GaAs -165.3dBc/Hz [2] InGaP/GaAs -179.6 dBc/Hz [3] SiGe -160 dBc/Hz [4] SiGe -180.2 dBc/Hz [5] 0.18um CMOS -185.2 dBc/Hz [6] Si BJT -156.1 dBc/Hz [7] Si BJT -172.8 dBc/Hz This WorkȐ1ȑ -170.8 dBc/Hz This WorkȐ2ȑ -172.1 dBc/Hz

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ಃѤക ޜሜᘠݢܫεᏔ 57

ಃѤക

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4.1 ߻ق

ӧว৔ᐒޑࢎᄬύǴคፕ೯ૻڐۓࣁՖǴૻဦѸ໪࿶җф౗ܫε ᏔܫεϐࡕǴ೸ၸϺጕว৔рѐǶԶф౗ܫεᏔԖΟঁख़ाޑୖኧǴ ϩձࢂᒡрф౗ǵጕ܄ࡋǵਏ౗Ƕᒡрф౗،ۓૻဦ໺ଌຯᚆޑᇻ߈Ǵ Ψ൩ࢂ܌ᒏޑႝݢ఼ᇂጄൎǹጕ܄ࡋ،ۓ೯ૻس಍ࠔ፦Ǵф౗ܫεᏔ ޑߚጕ܄ਏᔈǴத཮஥ٰᓎ᛼ޑቚߏǴ຾Զቹៜᎃ߈ᓎ᛼ޑૻဦǶਏ ౗،ۓ౽୏೛ഢޑႝԣ٬Ҕਔ໔Ǵф౗ܫεᏔѸ໪ᅰໆӧԖज़ޑф౗ ੃઻ϐΠǴගٮεф౗ᒡрǴቚуႝԣޑ٬Ҕਔ໔Ƕ ҁകஒճҔ WIN 0.15 um pHemt ޑᇙำჴ౜ф౗ܫεᏔႝၡǺ༾༾ ஥ጕԄޜሜᘠݢܫεᏔȐMicrostrip Line Type Gap Coupled Filter AmplifierȑǵӅӅѳय़ݢᏤԄޜሜᘠݢܫεᏔȐCoplanar Waveguide Type Gap Coupled Filter AmplifierȑǶ

4.2 ߔלᙯඤᘠݢᏔ

4.2.1 Β໘ Chebyshev ᘠݢᏔ

კ 4.1 ࣁΒ໘ե೯ᘠݢᏔϐ኱ྗޑᚉ׎Ǵ࿶௢ᏤёளډځᒡΕߔ לᆶϸ৔߯ኧࣁǺ

3 2 3 1 2 2 2 2 3 1 1 in g j g g Z j g g g Z Z Z ΰ4.1α 1 1 in in Z Z * ΰ4.2α

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ಃѤക ޜሜᘠݢܫεᏔ 59 Զךॺ٬Ҕ༾ݢሦୱதҔޑ Insertion loss Бݤٰ௢ᏤᘠݢᏔޑ೛ ीǴԶۓကPLRࣁǺ!

2 1 1 LR

Power available from source P

Power delivered from load _* _Z ΰ4.3α

ךॺஒΰ4.1αԄᆶȐ5/3ȑԄжΕȐ5/4ȑԄёаளډǴ

2 2 * 1 1 2 1 in LR in in Z P Z Z * ΰ4.4α ځύǴ! * 3 2 2 2 2 3 2 1 in in g Z Z g g Z ΰ4.5α 2 ₂ 2 2 ₃ ₂ ₃ 1 2 2 2 2 2 2 2 3 2 3 1 1 1 1 in g g g Z g g g g g Z Z Z Z · · § § _¨ _¸ _¨ _¸ © ¹ © ¹ ΰ4.6α ࿶᏾౛ϐࡕǴךॺёаளډǺ

2

₂ ₂ ₂ ₂

₂ ₂ ₂ ₂ ₄ 3 2 3 1 1 2 3 1 2 3 3 1 1 1 2 4 LR P g g g g g g g g g g g Z Z ª º _¬ _¼ΰ4.7α კ 4.1 Β໘ե೯ᘠݢᏔ

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ΞΒ໘ Chebyshev ޑ Insertion loss ӭ໨ԄࣁǺ

2 2 2 4 2 2 1 1 4 4 1 LR P k T Z k Z Z ΰ4.8α ӢԜǴӧКၨȐ4.7ȑԄᆶȐ4.8ȑԄϐࡕёளډǺ

2 3 2 3 1 4 g k g ΰ4.9α 2 2 2 2 1 2 3 3 4 4 g g g k g ΰ4.10α

2 2 2 2 2 2 3 1 1 2 3 3 1 4 2 4 k g g g g g g g ΰ4.11α ! ӢԜǴךॺۓကॄၩߔלॶR܈ᅎݢॶkϐࡕǴ߾ёаளډΒ໘ Chebyshevե೯ᘠݢᏔ܌ሡޑLᆶCॶǶ!

4.2.2 Β໘ޜሜጠӝᘠݢᏔ

კ 4.2Ȑaȑࣁ΋ঁޜሜጠӝ஥೯ᘠݢᏔǴ࿶ၸ฻ਏϐࡕǴёа ளډკ 4.2Ȑdȑϐ฻ਏҢཀკǴځύǺ 0 0 2 n Z L S Z ΰ4.12α 0 0 2 n C Z S Z ΰ4.13α ЪᒡΕᏤયࣁǺ! ! 2 1 0 2 2 2 2 2 1 0 1 0 2 0 3 0 2 0 1 1 C J Ya j J Z L C J Z j L Z Z Z Z Z Z Z Z Z ª º « » · § « _¨ _¸ » « » _© _¹ § · « ¨ ¸ » « © ¹ » ¬ ¼ ΰ4.14α

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ಃѤക ޜሜᘠݢܫεᏔ 61 კ 4.2ȐfȑࣁΒ໘ե೯ᘠݢᏔϐ኱ྗޑᚉ׎Ǵ࿶ၸ scaling ϐࡕǴ ёளډკ 4.2ȐeȑϐΒ໘஥೯ᘠݢᏔǴځύǺ ' 0 1 0 1 Z L g Z ' ΰ4.15α ' 1 1 0 0 g C Z Z ' ΰ4.16α ' 2 0 2 0 g Z L Z ' ΰ4.17α ' 2 2 0 0 C g Z Z ' ΰ4.18α 0 1 3 Z Z g ΰ4.20α ЪᒡΕᏤયࣁǺ! ' 1 0 ' _' 1 0 ₂ ₀ 1 ' 2 0 1 C Yb j L _L j Z C Z Z Z Z _Z _Z Z Z · § _¸ ¨ · § © ¹ _¸ ¨ © ¹ ΰ4.21α

ऩଷ೛კ 4.2Ȑaȑᆶკ 4.2Ȑeȑႝၡ฻ਏ࣬฻Ǵ߾ёளډ J-Inverter ᆶΒ໘ե೯ᘠݢᏔ኱ྗᚉ׎ϐgnޑᜢ߯ԄǺ! ! 1 0 1 2 J Z g S ' ΰ4.22α 2 0 1 2 2 J Z g g S ' ΰ4.23α 3 0 3 2 1 2 J Z g g S ' ΰ4.24α !

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ಃѤക ޜሜᘠݢܫεᏔ 62 ӢԜё؃ளޜ਻ጠӝᘠݢᏔ܌ሡޑႝ৒ॶᆶ໺ᒡጕߏࡋǺ!

2 0 1 n n n J b Z J ΰ4.25α n n b C Z ΰ4.26α

0 1 0 1 1 90 0.5 tan 2 180 Z b T _S ª º _¬ _¼ ΰ4.27α

0 1 1 0 1 0 2 2 180 0.5 tan 2 tan 2 180 Z b Z b T _S ª º _¬ _¼ ΰ4.28α

0 1 1 0 2 0 3 3 180 0.5 tan 2 tan 2 180 Z b Z b T _S ª º _¬ _¼ ΰ4.29α

0 1 0 3 4 90 0.5 tan 2 180 Z b T _S ª º _¬ _¼ ΰ4.30α 1 T T 2 T3 T4 კ 4.2 ޜሜᘠݢ௢Ꮴ

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ಃѤക ޜሜᘠݢܫεᏔ 63 ӢԜǴճҔΰ4.9α~ΰ4.11αԄёᕇளΒ໘ե೯ᘠݢᏔ኱ྗᚉ׎ ϐgnΔӧճҔΰ4.22α~ΰ4.24αԄ؃ள J-Inverter ϐॶǴനࡕճҔΰ4.25α ~ΰ4.30αёளډޜ਻ጠӝᘠݢᏔ܌ሡޑႝ৒ॶᆶ໺ᒡጕߏࡋǴךॺ ߡёа೛ी΋ঁߔלᙯඤޑᘠݢᏔǶ

4.3 ༾஥ጕԄޜሜᘠݢܫεᏔ

4.3.1 ႝၡচ౛Ϸࢎᄬ

໺಍ޑф౗ܫεᏔႝၡύǴ཮ӧᒡрᆄᆶᒡΕᆄѦௗ΋ঁ஥೯ᘠ ݢᏔǴаၸᘠ௞ᓎ஥ϐѦޑᚇૻૻဦǶՠ೯தԜѦௗᘠݢᏔ٠ߚൂ඲ ТϯǴԶࢂᇙբӧ݈η΢Ǵ೭ஒ཮٬ள᏾ᡏႝၡ࣬྽ᚳεǴӢԜऩஒ ᘠݢᏔႝၡ࿼Εܭ඲ТύǴ߾ёεε෧Ͽ৔ᓎႝၡޑय़ᑈǶӢԶǴך ॺ೛ीΑ΋ঁа༾஥ጕࣁЬޑф౗ܫεᏔǴ٠ஒ஥೯ᘠݢᏔ᏾ӝܭᑈ ᡏႝၡύǴаᕭλ᏾ᡏႝၡޑय़ᑈǶკ 4.3 ࣁ᏾ᡏႝၡҢཀკǶ ܫεᏔޑႝၡ೽ϩǴ٬ҔٿભޑႝၡࢎᄬǴځύಃ΋ભࣁ០୏ ભǴ௦ҔѤਥ႔ཱུޑႝ඲ᡏǴԶ႔ཱུቨࡋࣁ 75umǶಃΒભޑф౗ܫ εભǴ௦ҔΖਥ႔ཱུޑႝ඲ᡏǴځ႔ཱུቨࡋࣁ 75umǶ კ 4.3 ஥೯ܫεᏔҢཀკ

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஥೯ᘠݢᏔޑ೽ϩǴךॺ٬Ҕ Gap Coupled Filter ޑᘠݢᏔ೛ी ࢎᄬǶԜѦǴࣁΑ෧Ͽߔלϰଛޑय़ᑈǴךॺஒעᘠݢᏔຎࣁߔלϰ ଛႝၡޑ΋೽ҽǴ೛ी΋ঁڀԖߔלᙯඤфૈޑ஥೯ᘠݢᏔǶҗܭ౜ Ϟ໺಍ᘠݢᏔޑ೛ी౛ፕǴ೿ࢂа 50 ኻۅ೯ૻس಍բࣁԵໆǴ܌а ΋૓ᘠݢᏔ೛ी౛ፕคݤၲډߔלᙯඤޑфૈǴӢԜךॺճҔ 4.2 ࿯ ௢Ꮴрޑ่݀Ǵ೛ी΋ঁߔלᙯඤᘠݢᏔբࣁϰଛႝၡޑ΋೽ҽǶკ 4.4ࣁޜሜᘠݢܫεᏔޑႝၡკǶ კ 4.4 ༾஥ጕԄޜሜᘠݢܫεᏔ კ 4.5 ༾஥ጕԄޜሜᘠݢܫεᏔϐႝၡթֽ

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4.3.2 ኳᔕ่݀

!

10 20 30 40 50 60 70 0 80 10 20 30 40 50 60 70 80 90 0 100 freq, GHz S tabFac t1

!

10 20 30 40 50 60 70 0 80 0.2 0.4 0.6 0.8 1.0 0.0 1.2 freq, GHz St abM eas 1 კ 4.6 K ॶኳᔕ კ 4.7 B ॶኳᔕ

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ಃѤക ޜሜᘠݢܫεᏔ 66 m4 freq= dB(S(2,1))=7.36960.00GHz 10 20 30 40 50 60 70 0 80 -40 -30 -20 -10 0 -50 10 freq, GHz dB (S (1 ,1 )) dB (S (2 ,2 )) dB (S (2 ,1 )) m4 m2 freq= dB(S(2,1))=7.36960.00GHz 50 60 70 40 80 -40 -30 -20 -10 0 -50 10 freq, GHz dB (S (1 ,1 )) dB (S (2 ,2 )) dB (S (2 ,1 )) m2 კ 4.8 S ୖኧኳᔕ კ 4.9 S ୖኧኳᔕ

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ಃѤക ޜሜᘠݢܫεᏔ 67 m1 Pin= Pout_Fund_EXT=21.53615.500 m1 m1 indep(m1)= plot_vs(Pout_dbm[::,1], power)=14.0428.500 m1 კ 4.10 IIP3 ኳᔕ კ 4.11 P1dB

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߄ 4.1 ༾஥ጕԄޜሜᘠݢܫεᏔೕ਱

Item Spec Supply Voltage Vds1=3 V, Vds2=3V, Vgs1=-0.5 Vgs2=-0.5

Current 72 mA+ 150mA = 222mA

frequency 60GHz Linear Power Gain 7.4dB

P1dB 14dBm OIP3 21.5dBm Die size 3000 um × 1000 um ߄ 4.1 ࣁ༾஥ጕԄޜሜᘠݢܫεᏔೕ਱Ǵጕ܄ቚ੻ࣁ 7.4dBǵP1dB ᗺࣁ 14dBmǵOIP3 ᗺࣁ 21.5dBmǶ

4.4 Ӆѳय़ݢᏤԄޜሜᘠݢܫεᏔ

4.4.1 ႝၡচ౛Ϸࢎᄬ

ӕኬޑǴךॺճҔ 4.2 ࿯௢Ꮴޑ่݀Ǵ೛ी΋ঁӧᒡрᆄᆶᒡΕ ᆄڀԖ΋ঁ஥೯ᘠݢᏔޑф౗ܫεᏔႝၡǴӵკ 4.12 ܌ҢǴԶᆶ 4.3 ࿯όӕޑӦБࢂǴࣁΑ٬Ҕᙟ඲࠾းǴךॺ٬ҔӅѳय़ݢᏤޑ໺ᒡጕ ֹԋႝၡޑ೛ीǶܫεᏔޑႝၡ೽ϩǴ٬ҔٿભޑႝၡࢎᄬǴځύಃ ΋ભࣁ០୏ભǴ௦ҔѤਥ႔ཱུޑႝ඲ᡏǴԶ႔ཱུቨࡋࣁ 75umǶಃΒ ભޑф౗ܫεભǴ௦ҔΖਥ႔ཱུޑႝ඲ᡏǴځ႔ཱུቨࡋࣁ 75umǶך ॺӕኬճҔ 4.2 ࿯௢Ꮴрޑ่݀Ǵ೛ी΋ঁߔלᙯඤᘠݢᏔբࣁϰଛ ႝၡޑ΋೽ҽǶკ 4.13 ࣁޜሜᘠݢܫεᏔޑႝၡკǶ

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კ 4.12 ஥೯ܫεᏔҢཀკ

კ 4.14 Ӆѳय़ݢᏤԄޜሜᘠݢܫεᏔϐႝၡթֽ კ 4.13 Ӆѳय़ݢᏤԄޜሜᘠݢܫεᏔ

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4.4.2 ኳᔕ่݀

10 20 30 40 50 60 70 0 80 10 20 30 40 50 60 70 80 90 0 100 freq, GHz St ab F act 1

!

10 20 30 40 50 60 70 0 80 0.5 1.0 1.5 0.0 2.0 freq, GHz St ab Me as 1

!

კ 4.15 K ॶኳᔕ კ 4.16 B ॶኳᔕ

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ಃѤക ޜሜᘠݢܫεᏔ 71 10 20 30 40 50 60 70 0 80 -40 -30 -20 -10 0 -50 10 freq, GHz dB (S (1 ,1 )) dB (S (2 ,2 )) dB (S (2 ,1 ))

!

m2 freq= dB(S(2,1))=6.82660.00GHz 60 50 70 -40 -30 -20 -10 0 -50 10 freq, GHz d B (S (1 ,1 )) d B (S (2 ,2 )) d B (S (2 ,1 )) m2 კ 4.16 B ॶኳᔕ კ 4.17 S ୖኧኳᔕ კ 4.18 S ୖኧኳᔕ

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ಃѤക ޜሜᘠݢܫεᏔ 72 m1 Pin= Pout_Fund_EXT=22.36917.000 m1

!

m3 indep(m3)= plot_vs(Pout_dbm[::,1], power)=14.49010.000 m2 power= mag(Gain)=4.69010.000 m3 m2

!

კ 4.19 IIP3 ኳᔕ კ 4.20 P1dB ኳᔕ

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߄ 4.2 Ӆѳय़ݢᏤԄޜሜᘠݢܫεᏔೕ਱

Item Spec Supply Voltage Vds1=3 V, Vds2=3V, Vgs1=-0.5 Vgs2=-0.5

Current 72 mA+ 150mA = 222mA

frequency 60GHz Linear Power Gain 6.8dB

P1dB 14.5dBm OIP3 22.6dBm Die size 3000 um × 1000 um

߄ 4.2 ࣁӅѳय़ݢᏤԄޜሜᘠݢܫεᏔೕ਱Ǵጕ܄ቚ੻ࣁ 6.8dBǵ P1dBᗺࣁ 14.5dBmǵOIP3 ᗺࣁ 22.6dBmǶ

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ಃϖക ่ፕ 74

ಃϖക

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ಃϖക ่ፕ 75 ҁፕЎճҔ GCT 2.0 um InGap/GaAs HBT ϐᇙำǴჴ౜Αጠӝ ႝགৡ୏࣬Տᓸ௓ਁᕏᏔᆶጠӝႝག҅Ҭ࣬Տᓸ௓ਁᕏᏔǴᗨฅਁ ᕏᏔޑ࣬Տᚇૻǵᒡрф౗ᆶ౜Ϟว߄ޑයтፕЎ࣬КǴ٠ߚࢂന ӳޑǴՠ൩ InGap/GaAs HBT ϐᇙำٰᇥǴࠅࢂόᒱޑ߄౜ǶԶ҅Ҭ ࣬Տޑф౗ᒡрၨৡ୏࣬ՏϐଯǴࢂӢࣁࡕٰ೛ीޑ҅Ҭ࣬Տਁᕏ Ꮤϐ጗ፂભᆶϐ߻೛ीޑόӕǴךॺуεΑ጗ፂભޑႝࢬǴ٬ளᒡ рߔלᡂλǴӢԜૻဦૈ୼໩ճᒡрԿໆෳᆄǴᕇளၨεޑф౗Ǵ ჴሞ΢ǴషᓎᏔޑҁӦਁᕏᏔϐᒡΕᆄǴ൩ࢂ΋ঁଯߔלޑᒡΕᆄǴ ٬ளਁᕏᏔૻဦૈ୼໺ଌԿషᓎᏔǶԶךॺΨԋфᡍ᛾ճҔႝགጠ ӝբࣁӣ௤ၡ৩ޑёՉ܄Ǵԋфჴ౜ΑጠӝႝགਁᕏᏔǴёբࣁВ ࡕ೛ीਁᕏᏔࢎᄬޑୖԵǶԶޜሜᘠݢܫεᏔБय़Ǵᗨฅᗋ҂ᕇள നࡕޑໆෳ่݀ǴόၸҁፕЎගٮΑߔלᙯඤᘠݢᏔޑ೛ीБݤᆶ ೛ीࢬำǴёբࣁВࡕ೛ीᘠݢᏔϐୖԵǶ

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ಃϖക ่ፕ 76

ߕᒵ A

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ಃϖക ่ፕ 77 fprintf ('** STEP1 "ᒡΕ Z1" **') fprintf ('** STEP2 "ׯ L*C ޑॶ" "ׯ R ॶ" "ׯ฻ဦѓᜐॶ" **') fprintf ('** STEP3 "ᒡΕ gn" **') Z=50; Z1=9.05; % STEP1 R=Z/Z1 K=((1-R)^2/(4*R))^0.5; LC=4*K/(R^0.5) A=2*LC*R^2-16*K^2*R [L,C] = solve('L*C=1.6380','(5.5249*C)^2+L^2=18.0994'); % STEP2 G0=1 G1=C G2=L G3=R g0=1; % STEP3 g1=3.008279; g2=0.5444948; g3=5.5249;

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ಃϖക ่ፕ 78 f=60*10^9; w=2*pi*f; Y=0.02; b=0.1; %ᓎቨ 10%, J1=(pi*b/2/g1)^0.5/Z; J2=(pi*b)/2/(g1*g2)^(0.5)/Z; J1=(pi*b/2/g2)^(0.5)/g3/Z; B1=J1/(1-(Z*J1)^2); B2=J2/(1-(Z*J2)^2); B3=J3/(1-(Z*J3)^2);

% ** Gap Coupled Filter **

fprintf('********************** Gap ************************') C1=B1/w*10^15 C2=B2/w*10^15 C3=B3/w*10^15 o1=90-0.5*(atan(2*Z*B1))/pi*180 o2=180-0.5*(atan(2*Z*B1)+atan(2*Z*B2))/pi*180 o3=180-0.5*(atan(2*Z*B2)+atan(2*Z*B3))/pi*180 o4=90-0.5*(atan(2*Z*B3))/pi*180 R3_BP=1/(g3*Y)