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ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

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Page 1: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

--eJ I/o Cr"~ - ~ - &~__ - L::--( U -:-: - c-/ - pLL

I •• j

-~:

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ilrl~l1JlJU1J~

-:11

~_=--_"f-~_ _ ~l -

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t.

f -r:'.:..~;:;.~C OG ,'~~,fl~'~,-

_/. ~ / 1 f­ ~ . ~ 1)J"e::/ ~JJ ~.r' ~(-'j) \Ja..;l v l ~ / .

' ~</~1sJ lr'l t Jp!:7~0 BdT J/ -......;'­

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.JJ}JfJJ.P'(/b ~o 0 - 30Q If\~p J.>.P' ~ !J, J\{o~ ,.)

-r'b: ----~------------~--------~--- - ----­

~ ~-: ____fi-I

-.-..;:-:..-:

• _...1

Page 2: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

~~ F1v\ PemdJo.UJ1

( p~ s\"~tt1

GJ ,-=- - - - ­JL-p (cr-4)

-J: \J~ Il~~~~~~~~~~\__~_____ _ ~~

J b'T>= ~'1') - ¥.:-I. I =- - 1--( { - j ~ -(-8-/)

Qw

Q (cf!t) ~~__~__-+____-------+w

cJ I

( 5 -= /1;) )

U~~-"!'~ W I ~( '" ~». J

, -'.;

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:.~

'-----'-r-- \ ----

~ '-----r-!-- ­

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Page 3: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

:::'" ~!r :

(f~ Lod-<._ l«>p)

------­ =--' -----­ -­ - . .

----~.J6>..)d~~ ----------------­l -t '."::l

w

600sc-= c.u ~CD li,VovlC_ - - CU"(c:.rJ.-tJ-:=:~ctvco(-t) __ _ ~-(~n~ ~

-------­ - - r------­..4.­ I _-'---- -l­ '- ~Wl~ CJ 'leO (?) = -5 ~ Co~)-L­ _ L-_'---'

Page 4: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

~\"Co \ '<....co _ kYr - - ­= -J." .." VoJI).L - 5 \-r ~

C>JGoJ '-~vt: J

VaJ: Po VQ U~ (rIO)~1< c-=­~,,-~,.lt D C::~"' _0~\'

~-~-~"~--r~ vp0. -T ~---~

'feeLt

, /0 IQ' ..! (~Lv;by' :!? ;~L b (. ~,t:(:}/ if

j ." .-L (WtLi'F) = . ~-J\~P)( Kvco

. Q_- I k?p xk,,(o 'J WU-Pf)

- -----

i i ~" ~0i~~:"~\ ,-1\V 'o ,",o '{_~_"<-o_. 4'rux.

Cf'J ­

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,-+~)

KPD \<.veo\-1-O-.s l -t -s . \+-..?....->

. I ~LJ'I:,

~------~~--~~ q-,,, (~~~ -T t

\ij" ~ (~ll~,(GJ,,==- ~(,,)(f,fF )( K_

/ -' --- .D / , ,-- . ' . /,,/ - _--., '" -: - . / "f/

.;..,J....~Q ~~r.:'%:"'- 1<pp-_Ll(vc.o-.() ,:-.~tc--_LL [:'if , lJ c.J~,_ ~o~~..;'./)-./'~_....L"P?-/

o . 0_

-------'-~~G~~ WA-::'-"~b__~~Il.L-__1'

u;-::t> d::1l5~ ) ~ O.)\~1" K't'toVI" 0"­~-'-__""_--1_ -'-­ ~ --'- ­

Page 5: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

- - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I<\CX;{i" 1 ~ 0:<lU/V' . ~'tC lt = )c\l.~\1'1~'JJ z:t ---"~S~).1~qL

. ... '-

(.:yo<­ ~v-I } 0 ~) c-t~ ~"'¥.l(~~ldi~Y~!.if p G ;~J (;'.-",,;t)

5 4:> (S) = K'lcO V.n (PC ) (~ )

- ----­ -

'---...---...",--.-/ ~

d~ ~~d~

-J1.~ flHl

/,., . I JJ./"'­ d';' >Q.lj, f' HI?;)\j\., (VI "' - -.::J-.~

f" Jt; !:#Ia ~ ~~I 1iI01-lff~ ) J;,.~';L "_.-L­

LSr r ;.u ~ ~ _ '\J, ,, (OpJ

:f\ (5"0() )__

c:.-'~ ~~ rr».J~ - ./ I~

' r5if- PLL­ .>~b

~)-: if'-uID ~~;p

..

YI

Page 6: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

------

· . ~:

if ; t-\ = lO t.

..b q coo

ora..> r Osc:\'A:

qwl-'~c o.....J <.,<2­

~ '1 00 ~ -spou. N1~ J-,nJL

f"""" FFI? ~ ltiqg\\l ~~ ~I. (~k .~ .'~ ""I- ~l)

~ -:i.

~tJ.. penwJ ----~__~jovfvr ~PLL-13~- - -- ­

. - .-; :/ )--_ .­-- - - --------~/,7.J~) ~!t_£;!.-o1l'(fl:--U;--'// ([~/ "::' - -- ­

~ f -0)~~ ~~r ~ - - r-- -- ---- -- - ­

-

- ~~"'"

-(.t:,,£o =-*- 1(10. 11...H-i tc )-

J.A.

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f

i(\ ~~ 1-\rJ...JIIl'81. we \5~ 1:> 1 t4~± \OOp'\I~"­

a.<.wI <-'l" bJc«l -b f\ 1".1 t-I It

M~.' ~ ~ Ill .rtlH/ -

~vc..Y'Cb(a0kl1~ ) :dt.:o

kp a s" p= ~

~

.snz--(u . 7 t/11i.

J...FF- ~ !Ju,,- UICM.< f

kpD ~-:::. ...,

, +- \<PD)(,/ c..o<f:,., ~

Page 7: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

-. -T ~ T - ,---,-- - r

./ . /

(?llv::V~.J ~J . · I1.. ~/ ~..L~.j--,-­

- // :V~ p) ~ : ;L.;> ..7 - ::>

~.?/c.f U;?/lP b..;;~ - ;Jo. (J /l 0 l/t;; - - ~!'..vO~

.. j1 ~1;;1

_ _-'--_1-_l-_--'--_~l_' __,

( l~) !CPo kyOJ/S

t +t -t ~ ) R--PD ;( kvcv 4lLPl= tv\'S ---

------~~--

/- -::J-r-- ---Q "'/:~/Ipf

_ _ _ - ----= ~~ L...!r._ _ __

----

_-1.-_.....1.-_-'--_ ,--, L

Yf

Page 8: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

-- ----

T rT- r ­

a . ~J..

cvs~~-w~__ ~ - /01.-twm) --r ('''''~ -We:. )

- -- 1&~ttiH 1W~'b-....­

0 -~~· 1---------------­___( L()/"'- WI'I1 y~(WI'(! - (...Jr;.~__

4'3HH1; -1l-tlh

..- .':'. .~ - .J.L vi

_ L-_--'--_-'-_--'--_.--L____---J.__'-_..1-_-'-__ __---'-_---'__.1-_--'--_....l-_ .l­

Page 9: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

,. . ,. '

'.Jt0---­ ~________~______•

"-? r-' '1, ­, ____ a-"

~.../I;-d ...,;.....,­> - . . - / -,

d-i.J ---ijd w,;b /(/~ ,-­ .

.J-2/"r (:D.u·.J U~

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L

----------­-....;

~ ;--fr'~~ ~'-u! UJJ- L£,-"':...·--­

MO{d:PL:'~moJ. nWcept f!?:i1L

~f\ct ,Jem-.

--;,,;J: ~ j[ o~-;iM~oJ_I~~~ jt?-ivl1­

_L-_-'--_--'­__I__-'--_-'P"tj& ~~ 31)'- Of~~~~V\ \-e,ce.~}- l' ("I\.+­_'--..1..-__--'

Page 10: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

-- -----

- -- -------

-------

-- ------ - -

------- ------ --

--~- -­

'--_--'­__-'-_---J'--_L--l-'

~~----

------------- ------ -----~--~-~-- --- ---­

- ----------_.0------- ----­

__-'--_~ '-- _--'-__-'-__1--...L'__--'--__'--__'-__---'-- _--'--_----'

Page 11: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

o~ ~ ~,~ ~ -rl5') LS o~ ~)...l...o 0;'.I )~ ...I.t~ ;k )~ I) 1 ,. ~ PLL ) ...l...o (1

J l o~1 ,.,~ ~ as ~l> )~ .~<.5" d.iL:> ~), I) <PN ~. "; , .::...-,\ LS~."; UT J!11 ~ .u ..::......1

..::......1

~~ ~ ' " ~ ' ' I. ~ l i ~ " ~ " , ~ . ' L ' I fl (. .r 1S"..s~ v r ·y If.. ' ~ • Y LSr.,- 0 ~ 1'" ~ ) , ,y,. .r '7'

¢ref

l ,l"~

_~,II) fo tiT -:. it ~N 140 FL'~)) ~tJ[0

'f,z f-f/~:f. S( I.),-J -;- KpJ) F('») l.(.vCQ

N

I -t S .--:...N~2.___

Kr> 0 JJ..t.pF k-vC()

Page 12: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

N .....__4 r-'· ....::...­ C:jIJl L ~IJI -- /

J' ~y~ .

Page 13: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

0!.1r.l.:..: .l"':' o.)~. CMOS ~ ~. tS'J) r. ~~ 'J -::-...1 o~ u>1}> 2(" ~ 0),.." ~ ),,1..., (UJ I

0)~ ~ I) L2>..:.;W1.r'..llio ·~4 lOp ;1 rf)~ ~.~:0 L2>.jjL> 'J ~L 10K ;I ;SJ~ ~L., lIb-:......'Jlii..o

J (Jwl! dD

OJB-+----~~~~~-+.

- - - - - -- ­ --­ - ­ .:-.;...--­~!\JB

'~4 Ko = 2MradiansN .sec j Kd = lv/radians, .),..:;. o.)LA:....,1 PLL ).J ~ JI,......, y..L...S )}'I (~

.s..~ ).l.i.o •......:::.4 l09rad ians/sec ) ..u... 4 ramp S:. PLL l5.) j), }'I ...l.J.)~1 ..::...-.~ I) S , COn ).l.i.o

. ~),1 .::.......~ I) (t..?,? 'J tS.J5J' j19 ~j')L>.l) phtlsc err)r

Page 14: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

--

--

u,'"~~---'(

-:­

lZ-r­. I I

. if. ...

f S C Uor.J 2

V" -+ Voc..d_ - (Cfg-::.. 0 _",>::> vocd ­~--fc'n ~'t

r~rf (~C 12'2 .,)

-5 C. T2 - 10

I'" 2.

\ Q. f : \00 .fL

) 12, -- \ v....

...........,.I~)l ~J\~ , --~

lC 'L- \

T - -.. --­

t2r2 = t?TI -(2r '/?rc,-IO-5

I?T Cf -. 10 - 4

(0 iJI'ZT __ f2.1 - \0; O~-"7 - 10 fV\.t'

C \ fO 10

,n \O.OfJ"L -. \ 'K f - f \0(>Cf 10·02.­

Page 15: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

T) !=CS) --5

, lOr:, -- LZ'" lO-- 5

\ f)L\ -t \ lO -6 5

w" _I­~~ ( I +- l - I '1 -L ) ~ D· 7'1 ZJ ) 2- l K.c rz 2.0

/" ././ -<. }} (jj loop a(;Lit? ( pLL r~w/\

~VJ 10 '{ 6 0 7"t fe Cfj ::- - ..L rc,,,j 2 .. w e

11 l ~ lola U)t~&'O

Page 16: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

-----

...::.........1 U>LPP = 271:* 1 06 , Kd = 1 V/rad , Ko = 100MHL.N Ar" JL J,I tY PLL ).lA ).:J 3

"::""""'...I.J I) jt.; } .....).s:...:J ~,r> ).:J phase error ..s!.~ )~ .,)~ ,)), ~. ~li ~. lS,)'J' ).:J }'I Cy

.~), i

I I ,It ., t I:------­ -- -1 : (I. _ '-­

4'r"JD

J{.o-'1: _____ d ( f.n - ~o~ )'5 ­c::;.

N

0.5

5( l-t ~~) fec..~} -:.. LVLpr:.

K.o ~.cd{ ) t f. f. K.d ('S l. -t -v, p S) ~f;..,S ec.<)) ­

5 ( 'S 2+ WLp F ~ t-'.(.o K.d CLLp

JL~ ( N )

,-,sfe (5) -- 0 f - 0::')

0

Page 17: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

L. ,r..; M4 , M3 , ~ ~ M2 9 M 1 L5 !Jt,)~.;I}' ...::..........1 o~ o.;,l..A;....., i PLL )..l.c lSI)"! yeo ..5.,>.

.~mdchcd ~~

I I I I I

! I !1.-------- ~ _____ .1

he!\." K' - 1111 ~

.~ 0.1 p . )"!I)"! \..?5.r>- ~;lA L5!Jt,L.iil>

-~.~ I) )..l.c L.iL..."; v-il)) .~4 i- 2mJ\ }"I (...All

.~ L.iL.,.; )..l.c 1=2mA ).) d5 ~),I -.::........,~ lSl<lJ~ M2 , M I lSI)"! I) W/L )~ ('-;-'

-.::........,~ 1 ~ ..r. I) 0 L ,.; ~l)) ~l; ~.)<.5" ~' I) I )..I.i.. )..l.c L.iL."; ~tf) ~ LS I)"! (~

( CllOSC = f(D ) . ...l.J.);1

~l ') VCu:t ~L Id ~ .. ­~ H (5)U;" c _

T ~+ \3/ ~ ~)

UJ05C -= ~3 [2 K.' ~ 10 C·'5r C

01 lO -12

-) = \ I/~"S

J I

---, L/ ~ Cd Iia 3)'1 J2 J£xK!p \0 O.'5I ~ '::[:0. [

20 50 - 2- 100 w X 0 w L. -- I

L..

~ t" 54 G, H2.

Page 18: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

-I ~3 )(

Ji ~I 10 0·5 -2c 6 2 6 10 Jic

-

c = luF L = l ull

s)~~ , or- sir. 1)0i ",:""-,L..o ) ..I...ii..., •.)~ cjL.;1 ) ,L, ~ - gm ~. )J")~I ~ sir. }'I (u

.~1~_ )J'~1

c L

Rc

51'~

Iv ,. r dis --->::0 i.~ Ii) '- . \JjIZt-\z.J 10 -610- 1

~) \c \ - 10 Il­( woCs)2 IO-ll( 10-6 LO a

(u.;()L cs ') 2. _ 10- 6 (OG - 10 1'('

(O LI

Page 19: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

~)Q

<. 0

\ - 2. )( 10 -LI~'Y\ '>... r,K

Page 20: ilrl~l1JlJU1J~ - Sharifee.sharif.edu/~comm_cir-AliF/notes/Group 4 - PLL.pdf · - - T .. ~ v. JI- ,.. J:~ltl :=: KVC::O\{I

.,-->1 0.),.,., '1 6.(' Js:..::. ).:J PLL ....s:.,.. ) ..)"., (6

·~4 IOMHz .J/r. channel spacing 4400MHz l.J 00 MHL 150 ;4 )Cl ..>.:.4 ...?,? ~l5'}

Kvcofs

1/N

J.:.),1 ..::........~ PLL .:r.,1 ..s~ d..bL...., lSlr. I) ell il ~ C, 15~1) ("",

..I.J.),1 .:......,~ I) RC ).ll.o ~4 ~ (Un , ~4 o.:....:,lJ,,; OV ~I~ ~l5"} ~L. ).:J }'I (.::...

.Kv = 150000 ~ K1'D - I V Irau

l(;rnH z~I) te~ c IlCJ.~' I ~!y

~) tJ- '30 to 40 ( ::;00 400-- /0 )/0

A N r) I0J CoH ~) I A ~

- ­

~ J-r_'.J__­L OiW(o ~ f2.

10 -Lf