İşaret ve sistemler ders notu

14
i> sR er S s israque r-- --. L\:MF Y"]u I

Upload: yasin-alkan

Post on 07-Apr-2015

1.899 views

Category:

Documents


11 download

TRANSCRIPT

Page 1: İşaret ve Sistemler Ders Notu

i> sR er S s israque r--

- - . L\ :MF Y"]u

I

Page 2: İşaret ve Sistemler Ders Notu

L^tt) - [

-2

-2

bwlt+,1"r. Jla'a biYL

nt."c( f =

I[ .^"nl =-!- -aaoa

- l ) "

I t t+- ! l

t tzB - .!.-2(

2 6l+

ta --!

of6:11lJ

-d

Foue ae ! i r ' ! iu C:+ ' r ' r 'r - n,@. L. rm- .,a..a" re.:ie.:!,::o":*.4.;.h,;,.2"*'

i" *

:,il.Eilli"*" nu s"iLa''a

- , , ) * .u.* t t -*r lA 3" ' , 'x t la-^aa

d' | ' t ' t ' tL ' l^^t b b ' ' , t ' . t k

:{ 5! :' I,,,i"*'C"+ : "?::&:'o " &r 3F?''+'- ""'ra

Page 3: İşaret ve Sistemler Ders Notu

i./ ld(tt ,"^a.t, ,vrc+,.

t -11-r--------i=-r-,v -1 -ah2

"-:ic D,-ti .1.-! s(a ql.Fablt..efn;'

- r{1 = Ai l / l - : - j - I

' - ' ' \

, | /

u r{ l= I m rr)I

t - -

,l[rqtl-A(

UI= iA";

qlj'i-,,r/"FaL'|.'

e" dt ;

-)i"'' -, - a?d" ",., (f

i .6: ?€Lrodu Gr^ AT !( f)

j q!.!i!r4414r..^o^t; L', Bzt"t

g'dt ottuL

. ({ ) __L, ,r/ ({)Fht.r) l F |

^ , l4 ito l

i. g.. .,1q,.." .l.fl€.r < gt ba^r a..,rl,? qa.Lt, ,s. o, t tr,.a

--rL ui - rJ rr , '& J.+LcLJ-.s i 'crn a-" ." b"dL bY. b""+ j -" ,+i ,F,62

3.dr. ' %. i Tr.Br -T:Ba

=sElbb".' r, a'n B, hqr q""'Fti .gatt '* "

L ?-' 'aL"'u. r' "L"-*'^a- r.+'l.ril-.5' "'. E2 ;"' -9431i; 7'@Ln 'ton t

L ' 8, = Kz 82- s\ .+

!:. . €k "..|! -!eet!11.

?11,+

- ,n J- uq) i!11)

" l- . r i t- /) ' r ; .

- L ut{ t) = ̂ | +) = -J

Mr()eJ-. at

= ,4u = -f

uf) e-j'tJi'

u)Lsl

I

2t

-J*

t)3,*i r-

-.lzMt!)= I

^

2

:A i leu,."S-C, \

e,)"/' )

= 'n7 +^,E(i"cTl ) - l

Page 4: İşaret ve Sistemler Ders Notu

F , +v'i1Ao(r)

5'n ,u,-o11J-1 o Atuft'r( atJf,-,xb \iac ntl)- A(sinc2tl 'p"*

3r.Lku-u.q bulunLra'

nu).t- a1(t")tt- hetrons*t- lal'-a (t't"d'l*ycn) &Jty=

rA|.) +E- Pq) i '2

i,L+)t$tJ- /U-f")

lnr{) e-r.nn +*konu {'nee @ilmi'h'.

fJ L+ )- n l1)@LD"f in r? 'L l run!" au'

-t^ ' t-' ' "'"{ -i'"{ I

Qjds co,a"+ '* Ic 'lo' : . , t - t .1uJo+)

t(+l=- ra)-'ub+ -4r' t+Je'*'; mt+J'

P[-L ' r - . . t r " i 1= ( nu)a.s4r 'eu / '

, ' /

.-4.- . - i ' ,r(/-\")t /P ' - 'zt G'r")l-- | l 'ut / ' "

t ' Jt +t-1 nt+t e' ' a*

=+ M(14")* t a\ .k)

-.^"o .t ^u;Y'!,*'Jr

z.aJq "jd6;t':

tr' f".,J' ':l' "o'7*L''e'"*aa5.L.t "-"nJa

.l" t6ra. r.odrE dFF'

-o rr{) -r'ri)..5do+ -E--!-vt+-(.) *J-VQ+|")

rea* c,nrr0, bv i!d.t .i^i-J.r bt i?e!t' o"fi-* ''"* b"l''p' f)ek'rh

i+u.u taLd.+a rt.iooa !,fd'

Page 5: İşaret ve Sistemler Ders Notu

htA^l t'.n,f' .nv).t- NII)

l',O er .-!-- L:= uV) +'L ''ttd € (t)

| ' . , t /e . _)21f.O+ , ,(o l - uq) l - ) mtt ,e ' ct- t

' l"o -b

t. I Ll.an le in leqdl aextf 'Egc. b,. 6Q,) u,7-.utn"in iJre"t

-2.*"A +'i-, J*tt'.

to l+l --t- UII is.Jr mtr ) ;f_-,1iiro,)iu (/

| ,n

.J F€|,-c+o Ll-e

nt+l.L tttl)

I- i:n + ), ̂ t .t.- -d!-tt V )

b,r

(.2tr)r.r

l. id+Voli vo.sa

fz/"1;1.

^lt,

t )

t-

a

=J7"(n" )- f'

I r

u q t- J i r, r "-r*J a = -i 1, - tr 1 ;,* "* * l[,'l tr" S "-i* t*

ut{)-- l 5,. .1j:{ Na' i Dd'dh ld ( ' | 'at lJrt"tn'u o" * '" t ' ! ' ' f Jt* '

t+t < 'q2

t+t >/ta12

lz

api-Ji !'u ""iiql,li; .ic m+?.qr r2rrir.r..dr" **:!^,

'(lt alt + -21,r

iut-e ( */tl

P/rl1*l -r t t ) t+l

Nrto ot'p -ffo

in+tfal ahtu( ip*+i" ;tt in. Ja"-Vc (!g..)

Page 6: İşaret ve Sistemler Ders Notu

- , t - - t -a. ! ) @r+ 4 t4 Lr. & U)- z.L s,ac 9J. etntz / '--"' i 'gg'' ' ' t

r i9a u,q1 = -F.L.in/t,^. +frg t - u V t = [4'rT- ;trt ] "". t I

--L1rT

q t*uz

" ; (( \t m, t+)=

o<+ ( (/t = nrt+l=

m, ({)+m, t i l - l ,

= t jshlrt t .sn. Sld -(+): ( - r t ) t r r ,J_ul t ) -"- j jaf

)f s,alrl+.,h.tf la))

T"D= t """tthlt ) _ )< u) s,^ 2oat ,+ -

$.) = :

9!a- m (+)= -? r (+) :,. /zoot+ -a \ - ., ',r)J"""'* -Ti-

" u)"r r'-trg-{)

\1_/ l - fe.i^i,.i @r F.r.li.J. {tJ.

.A--.u .l"eL;

.n t{ I -2x t+ )co.t lJoof i -39\= xft f" -" ' -{-}r/qrr { l { l - l (J€dr'(-r" '

\ r r l

'c 0 lo 'dle.i '1'raot' ;teo'saL-

.,r r _-, tr ) 2",*].-r t'tu

l, 6 "-'1" Y / ""'

u {) = x { - co) J'"''* n I r f t:TJ-{ i"'l * ̂ - t r* 1 ;Lt, 4','d

' . -l n ^-- / t'o" \ --$(l-to%d

't) tt \ -b //*M(t)=e)4 t t t

I b / -

Page 7: İşaret ve Sistemler Ders Notu

I vt?)dt d lKoD \IoLTJSYON I vATL4uA l.-__---

+ vr{/ : FrutvJ 'I L t+).vqu= J ur/). t(1)et,rJp

/6 rn- J url) I v () ;j.ra,(J@ld It t l

-a -dt

- 'L V'tvtr) - ) i tz1 [ f .,st

" j4*' u )+ ]r T

: I M'() i l&_qer(

. . ( i ) , ' i l {+) - [email protected]) = [ ' r , r1. ̂ 1*-r : , r" .1I - '*No1 !.2atu^ a4t

-',-* z^1fi"aXd O'a/'t-| r't:t't' €'!;t<'|tJ"ra.

^-f-';':ZL:")f;!,. ** -^- ,/r?o^ or-,s.*r eu<ap,a cuhrtl-d,t b(a^a.o?'m, l l ' :a€+c.{€ > ' r tc^tr tq ul fotat . t .Z ' rz-_Z , .

-r r -v t ,ani -V fu! scllc 't" atJ'#lar t 4yPla"l

'- ,ei'/d.

.."r1t."t a6.at ,;a'ea/". tot'vo/-svero yvVo tz/' F/'i"t;.7 ; :' Z "'"i; t*-u rrr.!"b.r- r e' fiJt"*t$' JaP'b'ar{' r'

Ji^g,.l 'u"*.i,*.."+' +"-J-" HQ) ot'e LzD bn cte!'78 Wt'-J y(a )- H k ) .d({)

6ir i - f - r , r ,zr- t . - t )a7 -- |*-L, t ) t G-r)d(- h(() ,nH) .1- . .:a ,L

Ko^rvcLue;YoN dletciztsei

L. L'r",,|;t ba.tligi

2. D.gE^e 62'tifi

3, DqP'ld'o iirall'ir

4, Bii+r."* 8&llrti

Page 8: İşaret ve Sistemler Ders Notu

hoNvoLLlS ?.r,.r Lr^r et./l)t'E B-uJpl.laTt

.+a .v-- . , - i t t | on .dtet L"db ul1l l 'ht ' \u ' tem ' t ' ie3,

-"-- r ' I . -J ' . r -d ' '^ d i r+ ' ' \ rP ' " - *-n: : i ' : : .? ' ' . * : : , :

JL{)-ht l r I?(+) i? ' r f , r ' rv) . t L" t , l t

rBu.<a {-( al..}ormt' €'n'lliLl' 3im'+nL o\md{d^

, k-J r: ̂ + - :rf i:,n:, ::rc....\, d*!.,h.rTl,) y?'r"*, t]*rl) l:"^!i,:;r? rr:?- \i'J' b

"".'t ' ' u'-""

;;.:i2', Aeo, e.' t'4r^'L , . a\-" " t3-"

ar"-*

, r_ t - 14'- f " . ( - r \ . I t , ) )J ' ( o. t<!

t ) '41 L4 f " - l/ , 4 . 4+ .= ' t ,* , , e7._, . . . -a t. ._. -

., . " i : t . : ; - ' ,

'+-r-- ! ,+=c qo^,

vIN((of ) : c"r ' r* . r6 'Yo 5.- fE-, " E(,r . -G1..Ele , . o6eL

. ^

: : . . . " . . t ' t Vdl 'd 'a ' ' ) :^" +:"a. n 'e1;a d P>' sare l le +at ' 's tV'.,i ]r,,'- 'irit*u, "f" d":?' 3'i^et7' 5oA dfz'/e' " L ' te

es;+L.eretzJ _

' ' " 6 ' -

e H-, ed'r ' '

:r:i:";;.-;;: ".1: .* :7:1'""t7*"/ s,-'., ot',"t L,'i,c.

t: ;":{-*. 1'', .'".*' :r';', b,'"'* r,r'. L, * -,"

*iri.,i ! r,"i* "il,t !? rr.,t",i, t* ;J1",'b""-l'd' t'i La' l"

a.f- brtuhab't''4

,E'-r.b€ "Jlu\"''

Page 9: İşaret ve Sistemler Ders Notu

J(. q+ *q ) . q?1 |- Tl

o<+<1

\(_ 'r+*q(+qJJ?-(- :u-r, t .z);7

It t+ita)aU'I ' I

-TIr= lGu++'r?r

I

3 ({,

t(+ q)Jr+

- r ({<oo<+<rr ({32

'd{*) =L

P-l. l 1t

G Urr

4! +t+l=

[ .5zlm;

U (+)=Art+-{J

h l{-( )

Ih (+J

! t -

tr

x L{) - [n1-illl[-_6]f- q 11)

0N''- lilllli.-,",

f ' l

- 2+' : - f++9 kr<2

+ Ab^hn c6!r?k'''5Li o<t

Page 10: İşaret ve Sistemler Ders Notu

- ,ur- (*

l lu l - ( r_ a

ae , ! ,

-" 'J ,Jt t )

)

-H(+)= F tu r{}Jsq"({).E- --. i - f t l l=Lr!{ l- - l- + -L" Jr{ 2 2

tstlt - Fl !,1 + L F[ 4"tt]l Hlr)- J-'2 t2

. \

-Yltl-__-e__ {f t()-1f/ v(1tt l

rqr- f6{) *1;L.;.1p.."Jff4r

"r1r=1srr)*( j ; , )_ fb", =

+ - d"t ot+l + -t-yott)

g;J€.cL en<o Lohdca

| -ar \ lI e Jt =\ l I

4 - e,"' o1+<-

r. H ({r ]0-

J o e-- ; ( r l

@ t}(1J- oe

' ,

-(o +ju,/ l - -

37^ u)

stl)*d J-,n, +

- a , E(/)+

2loaio) .)q-!.'u**

_!-l tl ) + -.!-

- -9-- . ,La+,1co lw

A *-L-- --9-at iu J@ @.PtJ@Uit h.i,)

It ] J6^st$'lt'j

u(+l - l- * -r- 3A't+)

- .9^(+r -- --=;-- J, f

a+

- c. ' l --9.- | = ae ui+J

*6Q'Pt- st-.o'l - :- s (+ -&) .

Page 11: İşaret ve Sistemler Ders Notu

,dt+l- - (a---"-) , t+ l

l r r Ul+)= , - .o3 5t n +J tr)

qi{) =1J(t) * 4) :5 vr i l - vr i t ! t r . ld

(+'--)t+) ] -

f:;+1^ - fi*,'tr-+)" fi;,_,,t(+'ils

,(-t;l

F h({)J: v({)-JF s (i-&)++ E{.r-l"4 r*,

' ' rFv(r l= 5fu,-€- l* f\ t t 2fr)

FLh(+)] = FI q er+ .]z "'td

Y({r = v{{) ' uttt = f-.1,

. 6(f -+) - -L, 6 ( 1, *)

l(+)= r.! f 6(i-:_) r s(,+)1.+t_is)[s(.?.)_q({)- -L6- cos xr.51 + -q-9- 3i.' 2lT. E +| 29 2!r 29 2tr

- -l9- cos 5{ + 39- ein atlg29,

-- t- l',6r

, ,bsQ;+ -6t') )

ct,"s) " "*t,.

Page 12: İşaret ve Sistemler Ders Notu

, ,@9! mr{)= 2iq*ut{) ;tle ull)=5u>s3+ ;;-,e4i.i" lzo""ol"gotu"" bul""ut

C$ziim: t({}

=,"r+) r a}r+) !r..

Y{t)= u(f).v(t ') othriu.Ja,;t i oh.oL letlanslo odP'F&4. cLJ)btr'E 5e{''!''

F[mrrr] = rrq, : [' t."n'.;l-a ut+).J+ = 2 l-;l

il+;n

Or: .n t{\ = 2 e-q' q (t)

' i:"s,""F::il:tlr

f"I0

-1".o, 311-t )J (

4)ttI = 5c64-fr)'r tt-()u t+ -()

2e,{?5co53l+_()d( _ lo

Page 13: İşaret ve Sistemler Ders Notu

Fr.!-"+fa (oov"l..ro"

")/ x r+t - tati^c tl + _+J - r@I

+ l t+t

E!4o rlrq*1;- f(X) = FluL+1.,u1__ v(l )+ xtf/

vQ)= Ff"i"zoon+l = #[tty-r*1- 577-

xr11 = r L t , , ," , 2 t+ - i ) l = a ; t* ' . T (* )

, ' t

Y ({ l= v( l ) r Y t { ) _ Jdl11{x(} . } .v

/ ( ( I )e- l

| ' t t ' t . -1Tl"

I A- Q,to") 4 1a

t[) .9,rc1]11

t +1tor- - !

Q-,4-1.:l

t (yaa1q

,r"l l

F--r-tt t I

c.}---.{-----+-,-t

^r.1lrrl v

Page 14: İşaret ve Sistemler Ders Notu

NoT i TaYLA 5 | MrN DA ̂ ./, } ouF/t

\\

//

IL GA?

TeIEK<\ i r r -uEQ-

//

AZ --

\X/ \}.,/ V. lz'or; e\oV':-b - <or''t