tel351 i - burakkurt.net · entrji spe,lc-fral . ~o;i'l)v§vfl~ b. ob~orela.s~"...

13
TEL351 - UYGULAMA I i. x\+): cos (2nfo+) + , s (I+"fo+) J. I 1) ",nl 'I" ria. x(+) - cos (:J Mf".j. j + 'Os (tl-nfo.f) + J.. - .l.. '05 .1 -+ + S (271 +) + t ( n 0+J -L J.. e nfo+ -J'l.nf'o1 I J Lfnfot -J 1- 2 +-;;-e +t -

Upload: others

Post on 30-Oct-2019

2 views

Category:

Documents


0 download

TRANSCRIPT

TEL351 - UYGULAMA I

i. x\+): cos (2nfo+) + , s (I+"fo+) J. I 1.(2n~ 1)

~I ",nl 'I" ria.

x(+) - cos (:J Mf".j. j + 'Os (tl-nfo.f) + J.. - .l.. '05 (,+nf,,~) ~ .1

-++ S (271 +) + t C~ ( n 0+J

-L J.. e nfo+ ~ -J'l.nf'o1 I J Lfnfot -J n~ 1­2 +-;;-e +t

-

---

3I

Jnk I I [

oJ ~k+/a ] [ e.- + ' ] J.znl<• JlMk ,

I

( oJMlc/a Jrr" I~ "'Jsnk/2 e-jMlc/a)eo +- - e

J~n Ie. "

:: 2. Sin (nl ) TT 3. /I

3

--J rrk/2

- t•

00 = ..l.. rx(.+" d+ : .£ =0 <:II<. 4 J 4­

-I

o,6J.l.i

do

S• 1 -0.21

b, X(+)

.21'1 I.. r + -JH!ld/.2M

: -;rT j .2n e d+

arr I I' -Jk+

: - J +IS .d-t­(2fT) :L

" ,rrt~3" I: fUI dV : U,V J" duI

I -Jk+ U: + i V: -­

JK

IT I + -J " - .. eo I+ r -J ~ .d+

\ M) J ( "). Jk

I- ­(2MJ 1

I

- J - -

.2nk

Jk f M,

I ( a

)

-J2nk •

-Jjrr!t.e

-JO J,e.

I)

- I

(2M JI. ,

ZIT

-lktJe

0

= 11k) 1.

[J " "" "'Jlnk

;. J • ]

elk = I

J '-nk. " k'¢ 0

#

o

~m

= .l- f x(4-). d+ 2"

o

" 0 1<:0

L::!:: rr/: I

I( >0I

[ -"/2 1(,<0I

06

3, x(+) = 'i:. 0(+-") i~Qrt+i 11"1 Fc ./ r 6&,.1~' kc:N-~jJi~rl"l vt. fourier

-- -

I

dk: +'S 6(+), e -J2.Mk+ , d+

o

- a k. - ~ ~

X(~)= ~ dr\,d(f-f) n: -Of

:; I ~

(~.n) ;1 '-"-Of

Perl~odtl, I cr~lffil'\ Fovrifr ~IWSIMw lki QSCt'\'\1c1a I r.

A~tr,~d;~ If~le(l" FOc.N'ie,.. ~f)lJ trW +ek a~ I'

Of

X(f):: JIt(.+j, e-Jsnf: 61 -Of

-• f:: e ­

_ 2,. ( f) - 2,e".s (2nf) /

-

TEL351 UYGULAMA I[

x(4-) oper"i~odik oldu3U1'ld f) .

X(f) : fco

x(+) . e. J2."f~ d+ _00

1 ;J nH = "It .d

o I

~.~+I ~a~+ e + --- e

-J2Ttf 1

:' ---­

II itT"2.

(

xl I : X()

..

.. '/"rr

x(4-) : J2TT+

[ J2.+ -

-J2. ] e +

I

J 11+ f eJ+_ -J+ J

3. A ,

-- n> [ if\ 2.

Ir ~~rv

ot-

I I

I" 1- J leri/"

/I

1 "~r(" l",~

Q. I i

~ f)l Xl ~ I

-J ." J"f,(+) : . e . f

I r Jan-tO (0+-+ ) -J.2lTfo(+-+' ) J = -.,-n-(+-.+o-) l e • e

sIn [2TTf,,(+-+o)] = 2~ , 'i~ r2f" -+0)] II

rr(+ -fo)

o<of <to )(.1 ( } :' -fo(.f(O

o

J.2nf+ e . df

I r "'J2Mfo+ J2nfo+ 1::-- i-e -e +1 2n+

I [1" cos (2"1D+)] 1/n+

c. IXl <.;') I = IXtC.;'J I

LXJ(+')

.. I

rr(~) IF inc (-+)

t) R: nH(..:£.)

X)(+): 12 01, $inc (-.2fo1r)

= .2-+0. Inc (2.fo+) #

0(+ . u(+) Ie<) , l~ tf/nil"l

Q, EntrJi spe,lc-fral ~O;I'l)V§Vfl~

b. Ob~orela.s~" f""kti~tJ/lv

e ~ , OJ ,,,, ,

X(f) : J~

e:"+, e-J2n.f+, d+ o

I [.raf]_=.. +J4nf ... I •

a Sx +) IX(;)I : (+) X (f)

- I .... ... -+4"'.;':' /I

J'a"f1R)((7) :: r~

SxH') eo , r -~

HQ·hrl -0;'/+1 It" I I Qte < 1- ­

.J')n~ ol+J~"f - ~ .; ~":a 2

I -~1'71 ~x (7).. -, e 1/

.204

PorJC.v I +Co~rnll'\del'\

= f IX(.+') I'. elf : f .5..1 I.e/of = Rlllo) -Of -00

:~ II

£, (f) :: n (f· 5) I If'! ftrs four; ,r- do,,\)~umlJ'lU bullJl'u:l.

IT (+-5) A:'" e-Jlorrf, sine (of)

TT (ot ·5) it-' e-JIOn(-+), Sl~ (••H

JIOM1- , ()X(-t) ::' e , SInc + ~

TEL35/ - YGULAMA III

i. A~ ;lda I r;/e" )«(.j)) I j(j

i;m

(+) : x(+). p(+) i n, Id~lJ ~12.1f":'

p(+)::... + \ ): ) (of)

I (f);: I (f .. Y.Hd 2­

(, = I X t;.'!n)

y( }

l' J .

p( ) oldv '" "

(. ): (r- i)

k' ~ J H), -Jznk+/~ 4

T n

I-:2n

Of I(f) : -,2"

(f 2~) ns-

If):, xl } P( )

- \ xl .~)- rr

-

. or J -J'+JX - '".. ­)- 2 2­

( )= -J (t .. ~n) -J

2. 2

.tI !X(fJ], IH(oF)!

i Y2 Y2­

f

I (+) = (4-) h(+)

Y(f) = ~(.r) ~(t) : (:,) =

, ()

~ ,t) :: J", 'IT (-1) Y(f):: )«.f) H( ):: rr(-) 'I'" 4+

+

• 1"'1 IF 2d

c:,'l'+ C:mFJ'

-01"1C

-I It 20

Cl" + (:2rT+) ~

-e 12nfl

-I IF ..... I- 2(;/

~rr ~++2

G(-F) _ .. ~ I~TTf' .. .2l1.e

~

r . " 6 = J GCfll, f

-00

- 2"... - -Q -w

Cw = 2 f ,+1i;, e-QLfrff,dF

0

2M ... C1i+"W ] 2FT- i-e - 0,99- -Q Q

-Q4"W e = 0 ,01

0,411 W ~ 4,60SZ

0,366$ H..W: -- ...

Q

I (f)/2­I

/1./. I .

j ,

'N

x,(4.); L x(+-nTo) n~ -001

I~art ." ) I (f) "l')JInJ~ IJW1

b. ,( ) ~ d, M If ~ f't4fl'J 1

I (+): I. o(~-I')To)

~I(f):: X(-F) H(+)

I>d

f4(f) -I

1C n:· Dc

(;. TO)

&~lt.lik\e

XC';) Of

Xdf) : f .!!..)Toio L

n:-/)f