光通訊中轉阻放大器之設計

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國立交通大學

電機與控制工程學系

碩士論文

光通訊㆗轉阻放大器之設計

Design on Transimpedance Amplifier for

Optical Communications

研究生：黃鈞哲

指導教授：鄭木火博士

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Design on Transimpedance Amplifier for Optical

Communications

Student: Jun-Zhe Huang

Advisor: Dr. Mu-Huo Cheng

Institute of Electrical and Control Engineering

National Chiao-Tung University

Abstract

The purpose of the transimpedance amplifier is to convert a current signal into a voltage signal. An important application is to use it as a preamplifier in an optical communication receiver. This thesis designs and implements a practical transimpedance amplifier by using 0.35 µmTSMC SiGe BiCMOS technology. The transimpedance amplifier consists of three stages, the front-end transimpedance amplifier, voltage amplifier, and output amplifier. The front-end transimpedance amplifier is realized by using a common-emitter amplifier with a feedback resistor. The Cherry-Hooper amplifier, a well-known wide-bandwidth amplifier circuit, is adopted to realize the voltage amplifier. The output amplifier is a typical buffer circuit for output impedance match. In order to increase the allowed input current range, a current sensing circuit is designed. This circuit can adjust the input bias current to prevent the front-end transimpedance amplifier from saturation. The allowed input current range, because of this design, is from 10 µA to 1 mA. The designed transimpedance IC, after the post-simulation, attains the transimpedance gain 63 dB, the bandwidth 4.5 GHz, and the input referred noise 1.1 µA, and is well suitable for application in 5 Gbps optical communications.

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cµ3= 6.207fF , ccs4= 8.705fF , cµ4= 7.58fF

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2 ı ‡0®[×Â-Z}&D_Ò 1Rf UàÜ;Ú®, /.5? cµ3ccs4Dcµ4í à, ¹I…bíMÑÉ w_Òà- Ç2.8 Fý, _Ò!‹íä Ñ 1.45GHz, à¤í_Ò|Víä ˛yœQ¡Ÿl,lM1.247GHz 0.1 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 2.1 2.3 2.5 2.7 2.9 x 10 9 58 59 60 61 62 63 64 65 66 freq :linear ga in in d B Ç 2.8: RfÑÜ;Ú®/.5?¤•ÞÚñ/.5? cµ3ccs4Dcµ45ümU_ÒÇ 2 ÄÑmù”ñ…™•ÞÚñ Cs íæÊ, .ñqõ|•ÞÚñ cµ3ccs4Dcµ4‰“úä0 à@í à Ê¤, Ñpéõ|¥<•ÞÚñúä0à@¨AíÏæ‰“, J-s__Ò.¨Ö Cs, 1Uà « ÚíõÒÚ®_ a ì cµ3, ‰“ ccs4cµ4 w_ÒÇàÇ2.9Fý b ì ccs4cµ4, ‰“ cµ3 w_ÒÇàÇ2.10Fý â_ÒÇ2.9DÇ2.102ªJhôƒ Q3D Q4í•ÞÚñ ccs4cµ4D cµ3 íæÊD‰“, Êä0à @,î}$AˇªíÛï, ”Ñ¯¯l‡FRí¤<•ÞÚñ}¨AÉõ^@íÛï ¤Õ, M)·<íøõuÚñ¦í•ÞÚ® ree, àÇ2.7Fý, wMí×üø}ú (2-7)

5M à ÄÑ ree }U)[×Óï|A0|«Á, Ä¤Ê²ìÚñjÞ.â5? ree í×ü, ç

ree 5MÝÝüvÌ¶ à (2-7) 8JI B¤, …dFql5®[×Âø, %â…ıí }&DH˛ª7jw3bÔ4

(21)

2 ı ‡0®[×Â-Z}&D_Ò 108 109 1010 62 64 66 68 70 72 74 ccs4=0f cmu4=0f ccs4=8.705f cmu4=7.58f ccs4=15f cmu4=15f Ç 2.9: ìcµ3, ‰“ ccs4cµ45ümU_Ò}&Ç 108 109 1010 61 63 65 67 69 71 cmu3=12f cmu3=6.207f cmu3=0f Ç 2.10: ìccs4cµ4, ‰“ cµ35ümU_Ò}&Ç

(22)

3 ı

Ú9[×ÂD|[×Âí-ZD}&

3.1 Ú9[×Â5Ú˜-ZDÔ4}&

ùíÚ˜íŠ?uøø‡0®[×Âí|Ú9yTøÚ9[× Ê…díq l2, ¤Ú9[×Ú˜uUà Cheery-Hooper[11]íÚ˜!Z, à-Ç3.1Fý 7âk¤Ú˜4ø ú˚5ÏÚ˜, ¹ Q1=Q4Q2=Q3R1=R3R2=R4 Ä¤ø‡0®[×ÂÚ˜ .ây Tø µ`, Iw|«D¤Ú˜íÇøp«óQ, $A¡5«, ¤4øOÀ«pÏ| í qlj¶ Tia_out1 Tia_out2 Am p_out1 A m p_out2 R1 R2 R 3 R 4 Re1 Re2 B ias current 1 B ias current 2 Q 1 Q2 Q3 Q 4 Vcc Ç 3.1: Ú9[×Â5Ú˜-ZÇ

(23)

3 ı Ú9[×ÂD|[×Âí-ZD}& 7ÑRûümUÓï, øÇ“à-Ç3.2JjZRû Re1 R1 R2 Q1 Q 2 + V i/ 2 -n1 n2 + Vo/ 2 -Ç 3.2: Ú9[×ÂümUp^Ú˜-Ç ÄÚñíβM”×, Ê 200 ˝¬, Ê¤.5?¼pÚñ B ”íüÚ¼, 7wümUÓ ïV o V i =

V(Amp out1)−V (Amp out2)

V(T ia out1)−V (T ia out2) †ªâ-É[Rû: V (n2) = ic2(R1 + R2) (3.1) ic1 = gm1(V i/2) 1 + gm1(Re1) = Gm1(V i/2) (3.2) ic2 = gm2Vπ2 (3.3) Vπ2 = V (n2) − Gm1R2(V i/2) (3.4) ¢¤Ú˜Ñøú˚ÏÚ˜, Ä¤ V (n2) V i/2 = V o/2 V i/2 = gm2R2 − 1 1 + gm2R1 ( gm1 1 + gm1(Re1) )(R1) (3.5) Ê…Ú˜íql2,gm2R2 − 1 > 0, Ä¤Ú˜pD|Ñ°², 4°²[× 7¤Tí R û4cqÚñ…™í•ÞÚ®M”ü, ].8J5? °šË, Úñ¦•ÞÚ® ree, Ç2.7F ý, JÝÝüv, †.?I5

(24)

3 ı Ú9[×ÂD|[×Âí-ZD}& 7¥_Ú˜í3bÔHÊkâ n1D n2sõõp5p®}'ü, ªJ^±QÊ¤sõß Þí•ÞÚñ^@J‚kä íTô, Ä¤¥Ú˜4 äÚ˜2SàíøÚ˜!Z Ñ7Rû¥ sõp®}, øÚñíümU¡N_ú|àÇ3.3DÇ3.4 Ê¤ÄÚñ Q1D Q2í ro ” ×, ] n1õ5p®}ª.5? Q15æÊ < =?>A@ π B C B D EGF H I J D K J D L D M N O

−

+

< P π Ç 3.3: Rûn1õpÚ®5ümU¡N^_Ç Q RTSVU π W X W Y Z[ \ ] ^ X _ ^ X ` X

−

+

Q a π Ç 3.4: Rûn2õpÚ®5ümU¡N^_Ç Ék n1õíp®}wRûà-: vx1 − vo1 R2 + −vo1 R1 = gm2vx1 (3.6) vx1 rπ2 +vx1 − vo1 R2 = ix1 (3.7) Rin(n1) = vx1 ix1 = 1 1 rπ₂ + 1+gm2R1 R1+R2 ≈ _{1 + gm}R1 + R2 2R1 ≈ 1 gm2 (1 + R2 R1) (3.8)

(25)

3 ı Ú9[×ÂD|[×Âí-ZD}& Ék n2õíp®}wRûà-: vπ2 = rπ2(ix2 − gm2vπ2) (3.9) vx2 = (ix2 − gm2)(R2 + rπ2) (3.10) Rx2 = vx2 ix2 = R2 + rπ2 1 + gm2rπ2 (3.11) Rin(n2) = R1kRx2 = R1k R2 + rπ2 1 + gm2rπ2 ≈ R2 gm2rπ2 + 1 gm2 ≈ 1 gm2 (3.12) â,ÞíRûªêÛ n1D n2sõõpíp®}Ýü 7wõ¥_Ôõ1.Ø*Ú˜2ê Û, âÚ˜ªêÛ R2 u1:kÚñ Q2 í!-Õs«, ¹ Q2 pD|s«, ¤41-1¤! Z$5Ú˜ Ä¤, úk R2D Q2 A5Ú˜7k, }xpD|®}üíÔ4, <¹ n1D n2 sõõp}üp®} íÔ4

(26)

3 ı Ú9[×ÂD|[×Âí-ZD}&

3.2 |[×Â5Ú˜-ZDÔ4

ú|[×ÂÚ˜w3bñíuTXœ×í|Ú¼DŠ-T®}®ºJ®AŠ0, wÚ˜!ZÑøOtíú˚ÏÚ˜, à-Ç3.5Fý Äw4c5t!Z, wÔ4D øOt Ï[×Â1Ìóæ5T, ]wÔ4}&.y;H

Vcc

Rc1

Rc2

- Vo +

A m p_out1

Am p_out2

Re1

Re2

Bias current 1 Bias current 1 Bias current 2

DC_in1

_{D C_in2}

C _filter

Q3

Q4

Q1

Q 2

Ç 3.5: |[×Â5Ú˜-ZÇ

3.3 Ú9[×ÂD|[×ÂÚ˜5ä0à@_Ò

B¤, …d53b[×íúÚ˜-Z˛HêH DøêcúÚ˜Q, JZTùÚ ˜DúÚ˜íä0à@}& TÇà-: Ç3.6ÑÚ9[×ÂÚ9Óïä0à@Ç Ç3.7Ñ| [×Â5Ú9Óïä0à@Ç Ç3.8ÑêcúÚ˜®Óï5ä0à@Ç _Ò5ÅqìÑ25 , `˙ Lib ²ÏÑ TT

(27)

3 ı Ú9[×ÂD|[×Âí-ZD}& 108 109 1010 1.5 2 2.5 3 3.5 4 freq: log10(f) ga in in V / V Ç 3.6: Ú9[×ÂÚ9Óïä0à@Ç 108 109 1010 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 freq : log10(f) ga in in V / V Ç 3.7: |[×Â5Ú9Óïä0à@Ç

(28)

3 ı Ú9[×ÂD|[×Âí-ZD}& 108 109 1010 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 freq: log(f) ga in in d B Ç 3.8: ®[×ÂêcúÚ˜5ä0à@Ç

(29)

4 ı

Ú¼W¿Ú˜í-ZDŠ?

Ú¼W¿Ú˜í3bŠ?Êk|ªpøÚ˜‡0®[×Âípò¼R9Ú¼, U‡ 0®[×Â?&MÊ(4– T, .B|ñ¸íÛïßÞ, Ú˜-ZÇà-Ç4.1Fý, w in-put «D‡0®[×Â5mUp«óQ + -voltage detector - + DC_in1 DC_in2 M 1 Q1 Q 2 Q 3 input Re1 Re2 Re3 C0 Rc2 + vdo -Ç 4.1: Ú¼W¿Ú˜5Ú˜-Z-Ç 7Ú¼W¿Ú˜!…ŸÜÑW¿úí DC in1 D DC in2 s«Ú9íÏM, %â M1 Ú ñAÚ¼, ª7−„Úñ Q3úpÚ¼T| wÚ˜T}J-sõzp

ø çpÚ¼”üv, DC in1D DC in2íÚ9Ï”ü, Ú9W¿Â (voltage detector) }| ×Ú9Ï, M1¼¬íÚ¼Ñ×Ú¼, Ä¤ Q1D Q2û¦, / Q2}×Ûñ¸ÕG, ] Q3. û¦, .}ú¼p input « ípÚ¼T|

(30)

4 ı Ú¼W¿Ú˜í-ZDŠ? ù çpÚ¼”×v, DC in1 D DC in2 íÚ9Ï‰×, Ú9W¿Â (voltage detec-tor) }| üÚ9Ï, M1 ¼¬íÚ¼ÑüÚ¼, Ä¤ Q1 D Q2 .û¦, 7 Q3 û¦, ¤v†ú¼ p input «ípÚ¼T|

%â,Hsõíbzp, ª7jÚ¼W¿Ú˜íT8$ 7¤Ú¼W¿Ú˜.âqlA” Qä íÚ˜, ´†}zœQä0íòÄPÚ¼pmUçTAò¼R9Ú¼, ¨AÏTí8”

7Ç4.2Ñçp«R9Ú¼â0mA ‰“B1mA v, ¼% Re3íÚ¼‰“_ÒÇ, a¤_Ò ªhôÚ¼W¿Ú˜u´àã‚O£T !…,¼% Re3 íÚ¼@”¡Nk¼p ‡0®[ ×ÂmUp«íR9Ú¼, 7âÇ4.2ªõƒ_Ò!‹¯˛ã‚

(31)

5 ı

®[×ÂÚ˜0êA(í_Ò

DÒíQä¿¾!‹

â 2ıB4ıíqlD_Òí!‹, @ª®ƒ@àk1Gbps 5m¦mQY«5®[×Â,, ]J¤TÑ…ªWõÒÚ˜í0 âk 2 ıB 4 ıí_ÒÑÚ˜0‡íãl_Ò (pre-simulation), 1„¨ÖÊ0v˜©(DÝ (bonding pad) FßÞ•ÞÚ®DÚñ^@ 7 …ıÑÅHÚ˜0êA(, %â,ñÇ¦|,H•Þ^@(FTí_Ò (post-simulation) !‹, J£õÒß|íÒÊQä¿t-í¾¿ !‹, Ç5-10ÑÚ˜0Ç

5.1 0êA(5_ÒÇ

(32)

5 ı ®[×ÂÚ˜0êA(í_Ò DÒíQä¿¾!‹ 108 109 1010 20 25 30 35 40 45 50 55 60 65 70 freq: log10(f) ga in in d B Ç 5.1: pÚ¼>¼ümUB‡0®[×Â5®Óïä0à@Ç 108 109 1010 0 0.5 1 1.5 2 2.5 3 3.5 4 freq: log10(f) ga in in V / V Ç 5.2: ‡0®[×Â|BÚ9[×Â|5Ú9Óïä0à@Ç

(33)

5 ı ®[×ÂÚ˜0êA(í_Ò DÒíQä¿¾!‹ 108 109 1010 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 freq : log10(f) ga in in V / V Ç 5.3: Ú9[×Â|B|[×Â5Ú9Óïä0à@Ç 108 109 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 freq : log10(f) ga in in d B Ç 5.4: pÚ¼>¼ümU%¬êcúÚ˜|5®Óïä0à@Ç

(34)

5 ı ®[×ÂÚ˜0êA(í_Ò DÒíQä¿¾!‹

øO7k, úk@àk1Gbps m¦mQ§«5®[×ÂÚ˜, ¤®[×ÂBýÛx p mUä0í 0.75 Iíä , ¹ 750MHz 7âÇ 5-4 ªõƒ, …Ú˜qlÊ post-simulation v x 800MHz íä , Êä01GHz vE60dB í®ÓïM, @¯¯l‡Fqìíqlñ™

7J-Ñ®[×Âí G¥@_Ò âkFql5®[×Âwªñrmù”ñ5Ú¼ªò B1.1 mA, BbYf$ú®[×Â¿t GjªW, ¹}ÊpÚ¼uÊ10uA (p-p),100uA (p-p), £ 1mA (p-p) 5‘K-¿t¤®[×Â5 G TÕ” _ÒÌÊtÕ”-5 T8 ”, ?¹ vcc=3.3V, ÅÑ 25 , `˙ Lib ²ÏÑ TT, 7pmUä0Ñ 1GHz Ç5.5 [ý¤ ®[×ÂÊ 10 uA(p-p) 5 T!‹ w2|,Çuéý|¶MípÚ¼ÓvÈí‰“, 72È †éý 100 rb5ù«Ú9¶M|mU |-Çuéý|Ú9mUíiÇ (Eye diagram) â 2È5Çªø|Ú9M¬ 20mv (p-p), FJ®[×ÂíÓïª 2000 rbš× ¤Õâi Çªø¤®[×Âú 1GHz mUí Tóç£ °šÇ5.6DÇ5.7uÊpÑ100uA(p-p) £ 1mA(p-p) -5|mUDiÇ Ç5.8 í,ÇÑ^pÆmÚ¼ (equivalent input noise cur-rent or input refer noise curcur-rent) ä$Ç, -ÇÑ|Ú9Æm (output nosise voltage) ä$ Ç 7[5.1 Ñ¤êc®[×Âql5d[, Ç5.9 ÑÚ˜0Ç âÇ5.7 ªêÛ|š$„ péÜö, [ý®[×Ú˜5Úñ„ªpñ¸–ÍT, ¤H[Ú¼W¿c˜Ê post-sim vE£ T

(35)

Ç 5.5: pÚ¼10uA(p-p), ä01 GHz 5®[×Â Post-sim

(36)

5 ı ®[×ÂÚ˜0êA(í_Ò DÒíQä¿¾!‹ Ç 5.7: pÚ¼1mA(p-p), ä01 GHz 5®[×Â Post-sim 107 108 109 4 5 6 7 8 9x 10

-12 _{input refer noise ( I )}

I 107 108 109 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 x 10-8 output noise ( V ) freq: log10(f) v Ç 5.8: ^pÆmÚ¼D|Ú9Æmä$Ç

(37)

5 ı ®[×ÂÚ˜0êA(í_Ò DÒíQä¿¾!‹ ¡b ¿t‘K |üM tM |×M ÀP ÚÄÚ9 _3.0 _3.3 _3.6 _V X@Ú¼ 22 mA ®Óï p 10uA (p-p) 2000 Ω |®} À« 50 Ω |×|Ú9 ₂₇₅ _{mA (p-p)} |×|Ú¼ _1.1 _{mA (p-p)} p¡5Æm RMS 189.6 nA p¡5Æmò ₆ _pA/√_Hz ümUä 800 MHz Qä cutoff 40 kHz [ 5.1: 1Gbps®[×Âãìd[

w2p¡5Æm RMS uâ Hspice post-sim lB 1GHz F); 7p¡5Æmò† uJp¡5Æm RMS÷(ä 5Çj;) Fl5!‹

(38)

5.2 õÒß|ÒíQä¾¿!‹

Äòä¾¿ñ‡ãÕT“2, iBñ‡þ„!‹, ]¤lÛUàõð5ÀqeT Qä ¾¿í!‹ ÊpmU5>¼Ú¼Ä¶}, ZJ^k&_Tp, àÇ5.10Fý

Test voltage signal

Input Vs Rs Ç 5.10: Qä¾¿5pmU_ 7pmUJ 2MHz íjšT¿tpmU, ‡ú.°5 Rs ¾¿À«| Ç5.10Ñ2MHz íjšp, Rs=1k ¾¿!‹Ç5.10 ,Þš$Ñpš$, -Þš$Ñ°²5À«|š$ â Ç5.11ªõ|, Ú˜ÊQä2MHz vª£T Ç 5.11: pä0mUÑ2MHz,Rs=1k 5¾¿Ç

(39)

6 ı

@àk5Gbps ä m¦mQ§Â5®[×Âql

â 2 ıB 5 ıíqñD_Ò!‹, wqld@ª®A 1Gbps m¦m,í@à 7ZG( íÚ˜ı?àƒyòä í@à,, Ê¤ZJ5Gbps TÑZGíqlñ™ 7…ıí½õÊkà S‚à¤Ú˜-Z, TšríZGD|c, J‚?®ƒyòä0í@à J…ql5úÚ˜2, øÚ˜DùÚ˜Ñ½õFÊ Ä¤, Ê…ı2, 3b4‡úøÚ˜–‡0®[×ÂD ùÚ˜-Ú9[×ÂTZGql, 7úÉTší^Z

6.1 ‡0®[×ÂÚ˜íZGql

Ñ7Tô‡0®[×Âíä , 3b 3 _ZG½õj² øõ TôÚñíÔ4[Û; ùõ ±Q¤Ú®Mép®}±Q, Á/p®}Dp«Úñ$Aí”õ^@; úõ ± Qàk¤˜,5Úñ2 àä0à@í•ÞÚñ, D‚àä0^kjZ¾ä0à@íˇš (peaking) âJ, 3 _ZGj², }- 3 üTZGqlj«H5 6.1.1 TôÚñíÔ4[Û Bbı?âT¯Ç2.2í Q1D Q2íÀPÓïä (fT), ª7Tò‡0®[×Âíä 7â5‡í_Ò2, êÛÚñ Q1D Q2íÀPÓïä 1„®ƒ« Ú`˙2íœ7M, wŸÄ ÊkÚñíÕ”Ú¼ Ic .Dò, JBkÚñ íÀPÓïä œQ Ê¤, ı?Tò Q1D Q2

íÕ”Ú¼ Ic, éÚñjKœòí(fT) !k¥ø_½õ, …díZGj¶Ñ±Q Tia out

íÚ9ÄP, ÄÑ Ic1 ≈ Ic2 = V(T ia out1)

Rc1 , à¤ Q1 D Q2 íÕ”Ú¼ Ic ªÓ‹ 7b±Q

Tia out1 íÚ9ÄP, ZGjÑJø_çÚ® Rf2 ¦Hù”ñ d1, é Ic4*Rf2<Vd1, Ic4 Ñ¼ %Úñ Q4 5Õ”Ú¼ à¤øV Tia out1 íÚ9É[ªZŸA- (6-1), 7ZG(íÚ˜ àÇ6.1Fý

(40)

6 ı @àk5Gbps ä m¦mQ§Â5®[×Âql Vcc Cascode bias Feedback bias input Tia_out1 Rc R f1 Rea Q 1 Q 2 Q 3 Q 4 R f2 vc1 + V be1 -+ V be3 -Ç 6.1: ZG(5‡0®[×ÂÚ˜-Ç 6.1.2 ±Q¤Ú®M â (2-10) ª7j, p®} Rin D¤Ú® Rf(=Rf1+Rf2) 5Mò~íÉ[, 7Êõ Ò`TÚ˜,, p«í bonding pad %%}.üí•ÞÚñ^@æÊ, 1/y‹, pmU

Äí•ÞÚñD Q1 í Cπ, ø}ú‡0[×Âíä '×íXº4 Ä¤, Ê Rf MDä í¦ Ÿ,, Ñ7×)yòíä †.âøQ Rf, JZéä FTô 6.1.3 ±Q¤Úñ•ÞÚñDZ¾ä0à@íˇš â_ÒÇ2.9DÇ2.10ªêÛ, Úñ Q3í cµD Q4í ccsD cµ, } àÚ˜íä0à@Ô4 â_Òí!‹õV, œQí cµ3ccs4D cµ45M, }ªœ7íä Ä¤, …A|c Q3D Q4Ú ñí1:bñ, Jv?±QwÚñ•Þ^@ 7øO@àk 5Gbps ím¦mQ§Âímù”ñ, w

(41)

6 ı @àk5Gbps ä m¦mQ§Â5®[×Âql

•ÞÚñM.J 1Gbp ,@àíjKVí×, øOÊ0.25pF ,-, Ä¤p«í•ÞÚñM˛Ý

$A3”õŸÄFÊ çJ¤dT ãl_Ò (pre-sim) v, ¹U Q3D Q4Úñí1:bñÁ ý±Q7wÚñ•Þ^@, ‡0®[×Â íä0à@, ÊòävEˇšÛïßÞ (peaking) Ñ7Z¾¤ˇšÛï, …A²ÏÊ Rf1D Rf2, 1:Úñ Cf1D Cf2 J¤hõVõ, ®Óï M3b²ìk¤Ú® Rf M, Ä¤, ¥_ä0^kí Z;4Êkı?Êòäv±Q¤æ˜í ®}M ÄÑÚñxÊòäv×ÛQ®}íÔ4, JÚñ 1:¤Ú® Rf @ª®ƒ¤ä0^k íZ; çÍ, J¤R1:Úñí!‹}±Qä , ¥_¦Ÿ. âTø<_Ò,ítð

6.2 Ú9[×ÂÚ˜íZGql

â 3ıí (3-8) D (3-12) 2, ªêÛƒ R1,R2, D gm2Ñ²ìÚ9[×ÂÚ˜ ½bõ n1D n2^p®}í×üí½b¡b * (3-8) ªêÛ, b±Q Rin(n1) 5M, ªâ±Q R2, Ó‹ R1 D gm2íj²T‰“; 7b±Q Rin(n2) 5M, ªâÓ‹ gm2íj²T‰“ Ä gm2D

bias current 2”×íÉ[, bÓ‹ gm2†.âÓ‹ bias current 2 çÍ,R2M‰ü6}U)Ó

ï‰ü, Ê¤°šU bias current 1Ó×, JZUÓï?&Møìí×ü

6.3 |[×ÂíZGql

ÊÚ9[×ÂjÞ, !…,¦¾7Ç3.5í C filter í˙šÚñ, JZyòä í[Û 7ú kÚñ Q1∼Q4, °šêÛÞ@ƒ6.1.1í½æ, Ä¤Ê&M bias current 1D bias current 2

6.4 0‡íÚ˜_Ò (pre-sim)

øOtí 5Gbps ä D1Gbps ä ím¦mQY«ímU^_.°, 7®[×Â |í^Š-?.ó°, àÇ6.2£6.3Fý Ç6.4Ñ„UàÚñ Cf1£ Cf2T^k5‡0®[× ÂÚ˜ä0à@_ÒÇ; Ç6.5 ÑUàÚñ Cf1 £ Cf2 T^k5‡0®[×ÂÚ˜ä0à@_Ò Ç; Ç6.6 Ú9[×ÂÚ˜Ú9Óïä0à@Ç; Ç6.7 |[×ÂÚ˜Ú9Óïä0à@Ç; Ç6.8 Ñêc®[×ÂÚ˜5ä0à@_ÒÇ 7âÇ6.4 D6.5 ªJêÛ, UàÚñ^kíüªJZ¾ˇšÛï 7‡0®[×ÂD[×” Ú˜6ÄZG5(, xyòíä

(42)

6 ı @àk5Gbps ä m¦mQ§Â5®[×Âql 0.25pF 20 ohm 0.6nH Ç 6.2: 5Gbpsm¦m®[×Â^mUp_ 0.5nH 0.5nH V cc V cc 50 ohm Load 50 ohm Buffer_out1 Buffer_out2 Ç 6.3: 5Gbpsm¦m®[×Â^Š-_ 108 109 1010 48 50 52 54 56 58 60 62 64 66 freq : log10(f) ga in in d B Ç 6.4: Ñ„UàÚñCf1£ Cf2T^k5‡0®[×ÂÚ˜ä0à@_ÒÇ

(43)

6 ı @àk5Gbps ä m¦mQ§Â5®[×Âql 108 109 1010 48 50 52 54 56 58 60 freq: log10(f) ga in in d B Ç 6.5: ÑUàÚñCf1£ Cf2T^k5‡0®[×ÂÚ˜ä0à@_ÒÇ 108 109 1010 1.5 2 2.5 3 3.5 4 4.5 5 freq : log10(f) ga in in V / V Ç 6.6: Ú9[×ÂÚ9Óïä0à@Ç

(44)

6 ı @àk5Gbps ä m¦mQ§Â5®[×Âql 108 109 1010 0.34 0.36 0.38 0.4 0.42 0.44 0.46 0.48 0.5 freq: log10(f) ga in in V / V Ç 6.7: |[×ÂÚ9Óïä0à@Ç 108 109 1010 40 42 44 46 48 50 52 54 56 58 60 62 64 freq : log10(f) ga in in d B Ç 6.8: êc®[×ÂÚ˜5ä0à@_ÒÇ(pre-sim)

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6 ı @àk5Gbps ä m¦mQ§Â5®[×Âql

6.5 0(íÚ˜_Ò (post-sim)

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6 ı @àk5Gbps ä m¦mQ§Â5®[×Âql 0 0.5 1 1.5 2 2.5 3 3.5 4 x 10-9 0 0.5 1 1.5 x 10 -3 0 0.5 1 1.5 2 2.5 3 3.5 4 x 10-9 -0.2 -0.1 0 0.1 0.2 0 2 4 6 x 10-10 -0.2 -0.1 0 0.1 0.2 Ç 6.12: pÚ¼1mA(p-p), ä05 GHz 5®[×Â Postsim !‹ ¡b ¿t‘K |üM tM |×M ÀP ÚÄÚ9 3.0 3.3 3.6 V X@Ú¼ _23.91 _mA ®Óï p 10uA (p-p) 1400 Ω |®} À« 50 Ω |×|Ú9 ₂₄₀ _{mA (p-p)} |×|Ú¼ ₁ _{mA (p-p)} p¡5Æm RMS 1.11 uA p¡5Æmò _15.7 _pA/√_Hz ümUä 4.5 GHz Qä cutoff 50 kHz [ 6.1: 5Gbps ®[×Âãìd[

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6 ı @àk5Gbps ä m¦mQ§Â5®[×Âql 104 105 106 107 108 109 1010 0 0.5 1 1.5 2x 10 -10 in pu t r ef er n oi se ( I ) 104 105 106 107 108 109 1010 0 2 4 6 8x 10 -8 ou tp ut n oi se ( V ) Ç 6.13: p¡5ÆmÚ¼D|ÆmÚ9ä$Ç Ç 6.14: ZGql(5Ú˜0Ç

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7 ı

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¡5d.

[1] R. G. Meyer and R. A. Blauschild, “A Wide-Band Low-Noise Monolithic Tran-simpedance Amplifier,” IEEE J. Solid-State Circuits, Vol. 21, No. 4, pp. 530-533, Aug. 1986.

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[4] Tongtod Vanisri and Chris Toumazou, “Integrated High Frequency Low-Noise Current-Mode Optical Tramsimpedance Preamplifiers: Theory and Practice,” IEEE J. Solid-State Circuits, Vol. 30, No. 6, pp. 677-685, June 1995.

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[7] C. K. Wang, P. C. Huang, and C. Y. Huang, “A Fully Differential CMOS Transconductance-Transimpedance Wideband Amplifier,” IEEE Trans. Circuits and Systems– II: Analog and Digital Signal Processing, Vol. 42, No. 11, pp. 745-748, Nov. 1995.

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5d. [8] R. S. B. Mohammad, I. K. Aydin, and S. M. Jose, “Design of Transimpedance and Limiting Amplifiers for 10Gb/s Optical Communication Systems,” IEEE Symposium on Circuits and Systems, Vol. 3, pp 164-167, Aug. 2002.

[9] C. B. Yahya, “Design of Wideband Low Noise Transimpedance Amplifiers for Optical Communications,” IEEE Symposium on Circuits and Systems, Vol. 2, pp. 804-807, Aug. 2000.

[10] M. C. Jaime and S. M. Jose, “Transimpedance Amplifiers for Optical Fiber Systems Based on Common-Base Transistors,” IEEE ISCAS, Vol. 6, pp. 85-88, May. 1999. [11] Behard Razavi, Design of Integrated Circuits for Optical Communications,

McGraw-Hill, 2003.

[12] J. Mullrich, T. F. Mester, M. Rest, W. Bogner, A. Schopflin, and H.-M.Rein, “40 Gbit/s transimpedance amplifier in SiGe bipolar technology for the receiver in optical-fiber TDM links,” Electron. Lett., Vol. 34, pp. 452-453, Mar. 1998.

[13] A. Schild, H. -M.Rein, J. Mullrich, L. Altenhain, J. Bland, and K.Schrodinger, “High-Gain SiGe Transimpedance Amplifier Array for a 12 x 10 Gb/s Parallel Optical-Fiber Link,” IEEE J. Solid-State Circuits, Vol. 38, No. 1, pp. 4-12, Jan. 2003.