TEL351 I - burakkurt.net · EntrJi spe,lc-fral . ~O;I'l)V§Vfl~ b. Ob~orela.s~" f""kti~tJ/lv
Transcript of TEL351 I - burakkurt.net · EntrJi spe,lc-fral . ~O;I'l)V§Vfl~ b. Ob~orela.s~" f""kti~tJ/lv
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
. 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)
.