İşaret Ve Sistemler - Pamukkale Üniversitesi Uygulamalar Ve Örnek Soru Çözümeri

8/9/2019 aret Ve Sistemler - Pamukkale niversitesi Uygulamalar Ve rnek Soru zmeri

1/36

AAAB 8>8 XBPIFFAU \A XXÂMFAUQPOQFIMI 9

Nd. Nr. Iynb C@Z@FCIPIIri. Or. Inam CÂ

9. ([AUPDNCFC va [AUPD^ EAFUFAMA)

Iini ìratfar`b par`ydn`c dfup dfminb eaf`rfay`b`z. Aar par`ydn`cf`c mavhut `sa tamaf par`ydnu afna

an`b`z.

9.9.x9(t) =jaj9;t

9.5.x5(t) = a(-9 +j)t

9.8.x8Sb] = aj?b

9.>.x>Sb] = 5hds(b/>) + s`b(b/7) 5hds(b/5 + /t9)

9.


2/36

9.1.

sb9. tamaf par`ydnu fa par`ydn`cfat`r`fmactan`r. [ar`ydn`c irat` `z`b`z va eu `irat`b

drtifimi naar`b`, drtifimi ohb va atc`b naar`b` gasipfiybz.

5.5. Iyrc-zimibfxSb] n`z`s`ba f`c`b rbac naarfar`

xSb] = {9, 5, ;, 8, ?, .xSb + 5], xS5b9], xSb/5 + 9], xS8b/5 + 9] n`z`far`b` afna an`b`z.

zm:

5.9.

5.9.9.


3/36

5.9.5. , x(t)

x(-t)

-x(-t)

x (t)

x (t)^

+

+

t

t

t

t

t

-5

-9 -;,1 ;,1 9 5

-9 -;,1 ;,1 9

-5 -9 -;,1 ;,1 9

-5 -9 -;,1 ;,1 9 5

-5 5

-9 9

9/8

5/8

-5/8

-9/8

9//8 - 5/8 t

i)

v(t) =x(t+5)

t-8 -9,1

9

v(-t) =x(-t+5)

t89,1

9

e)

v(t) =x(t+9)

t-5 -;,1

9

9

8 e`r`m

v(5t) =x(5t+9)

t-;,51-9

9

;,1

9,1 e`r`m


4/36

h)

v(t) =x(t+>)

t-1 -8,1

9

-5

8 e`r`m

v(-8t/5) =x(-8t/5 + >)

t

9

?/8 9;/8>/8

5 e`r`m

n) , x(t)S(t+8/5)+(t-8/5)]

t-8/5 8/5

(9/8)

5.9.1.

t-9 ;,1 5

9

x (t)[

8 >,1 tamaf par`ydnu `fa par`ydn`cfat`r`fm` `irat`


5/36

5.5. 5.5.9. 5.5.5. ,

5.5.8. b`b abarj`s`3

5.5.>.

i)

e)

(Nah`mit`dbXayraftma)

h)

(@btarpdfit`dbIrinaarfama) (yizfmisi ni dfur)

3 3


6/36

n)

(yizfmisi ni dfur)

3

3

Xayraftma

3

3

8. (XXÂMFAU va XXÂM ZAFFCFAU)

8.9.X9, X5va X8`fa tibmf iyrc-zimibf s`stam efdcfir iinic` oè` e`re`r`ba sar` (cis-cit) eifnrfir.

` =9, 5 va 8 ``bxSb] va ySb] gar e`r s`stam`b o`r` va cfirb ostarmac zara gar e`r s`stam ``b o`r`-c

`f`c`s` iinic` oè` tibmfibmtr:

tacb

`ltbbxby

,;

],5/S]S

9

9:X

9

]5S>

9]9S

5

9]S]S

5555 bxbxbxby:X

5

]5S]S 88 bxby :X8

Eubi ora, cis-cit s`stam`b o`r`-c `f`c`s`b` (ySb] `faxSb] irisbnic` `f`c`) afna an`b`z. (N`ccit:x9Sb] =xSb]

va ySb] = y8Sb]n`r)

8.5.Efdc n`yiorim iinicòè` var`fab oar`-easfamaf` s`stamna b6 ; ``b ySb] = ; dfnuu e`f`bn``ba ora,

8.5.9.xSb] = Sb] o`r`` ``b s`stam c ySb]y` afna an`b`z.(X`stam`b e`r`m rbac havie)

8.5.5.xSb] = uSb] o`r`` ``b s`stam c ySb]y` afna an`b`z.(X`stam`b e`r`m eisimic havie)

8.8.O`r`-c f`c`far` iinic` oè` var`fab s`stamfar`b zaff`cfar`b` eaf`rfay`b`z.

(X`stam zaff`cfar`3 (`) Ndrusif mnr4 (``) Zimibfi na`mayab m`n`r4 (```) Banabsaf m`n`r4 (`v) E@ED

Cirirf mnr4 (v) Gilzif mnr4)8.8.9.y(t) =x(t)hds;t

8.8.5. )9()( txnt

nty


7/36

zm:

8.9.

X9: X5:

X8: , X9`b c X5b`b o`r`` dfnuubi oraX5b`bc

X8bo`r`` X8bc

ya tac vayi `lt siy ni var`fsa b`b bn`s` ni`mi `lt dfihictr.Eubi ora3

dfihictr.

X


8/36

8.5.

(X`stam`b o`r`-c f`c`s`) e`fo`s`b` cuffibiric38.5.9. ``b

``b

; ;

``b

; 9

``b ``b ``b

Oabaffat`r`f`rsa3

afna an`f`r c` isfbni eu, s`stam`b `mpufs havie yib` s`stam`b zimib efoas`bnac` tibmbi

(ostar`m`ba) cir nar.

8.5.5. ``b

``b ; ;

``b ; 9

``b ``b ``b

(X`stam`b e`r`m eisimic havie)


9/36

8.8.

8.8.9. (`) Ndrusiffc:

dfnuubnib ndrusifnr.

(``) Zimibfi na`mama:

4

dfnuubnib s`stam zimibfi na`abn`r.(```) Banabsaff`c:

X`stam`b d ibnic` c sinaha d ibnic` o`r`fara eif. D yznab s`stam banabsaf. Pib` o`r``b

oafahactac` naarfar`bnab eimsz.

(`v) E@ED Cirirffc:

o`r``b oabf`` `fa sbrf

9

D yznab s`stam E@ED cirirfnr.

(v) Gilziffc:

X`stam sinaha ibfc o`r` naarfar`ba eifnr. D yznab GIL@ZIF@ na`fn`r.


10/36

8.8.5. (`) Ndrusiffc:

dfnuubnib s`stam NDUQXIFnr.

(``) Zimibfi na`mazf`c:

4

dfnuubnib s`stam ZIMIBFI NAMAPABn`r.

(```) Banabsaff`c:

X`stam oam`tac` o`r` naarfar`ba eif. Oafahactac` o`r` naarfar`ba eif na`f. D yznab

BANABXAFn`r.

(`v) E@ED Cirirffc:

o`e` sbrf oabf`cf` e`r o`r`` afa ififm. Pib`

``b

,

``b nr.Eu nurumni c na sdbsuz oabf`cf` dfur c` s`stam

CIUIUX@Znr.

(v) Gilziffc:

Oah`cmanab ndfiy GIL@ZIF@nr.


11/36

8>8 5

. . . .

9. ( )

9.9.

tj^tjatyatx

85)()( ==

85 )()( ==

.

9.9.9. 9() = (5) 9() 4

9.9.5. 5() = 5()

5() 4

9.5.O F@

.

9.5.9. 9);()(

,9);(..),()5(7)(>)( )9(

;5

5

====+=

9.5.5. 9);()(

,;);(..),()(1)(5)(

5)( )9(

;5

5

====++=

9.5.8. ;);()(

9);()(

,5);(..),(5)(

5)()( )5(

;5

5)9(

;5

5

8

8

=====+===

9.8. I = ;

. 6 ; () = ;. E ,

9.8.9.(;) = 4

9.8.5. ; () = ; () = ()

() = 4

9.9. = = = = = =

9.9.9. = hds5 = = = +

= hds8 .


12/36

9.9.5. = hds 5 = hds5 9= = ..

= +

= = hds8 9

9.5.9. + > = 7 s`b5 , ;

+ > = ; C.N.

+ > = ; = 5 , = 5

= hds 5 + s`b5 = hds 5 + s`b 5

= hds 5 + s`b 5 + 5s`b5 +5hds5 = > s`b 5 + > hds5 + >hds5 >s`b5

N 3

> s`b5 + >hds 5 + >hds5 >s`b5 + > 5 + 5= 7 s`b 5 > = 7 = 5 = 5 5 > = ; = ; = +

= hds 5 + s`b5 5hds5 = 5 s`b 5 + 5 hds 5 5 hds5 + > s`b 5

E.C. ;= = 9 = 5 5 = 9 = = hds5 + s`b5 5 hds5 , ;


13/36

9.5.5. + 5 + 5 = 1 hds , ;

E :

G :

+ 5

+ 5 = ;

C.N. + 5 + 5 = ; = 9 , = 9 + = hds + s`b :

= hds + s`b+ s`b + hds;= = ; = + = 9 = 9 O : = s`b

,

.

= hds + s`b

= s`b + hds

= hds s`b N 3

hds s`b 5 s`b + 5 hds + 5 hds + 5 s`b = 1hds + 5 hds + 5 s`b = 1hds

1 ;

= 9 , = 5

= hds + 5 s`b O : = + = hds + s`b+ hds + 5 s`b O .

= hds + s`b + s`b + hds s`b + 5 hds E.C. ;= + 9 = ; = 9 = + + 5 = ; = 8 . , 3

= hds + 8 s`b + hds + 5 s`b


14/36

.

= + = s`b hds 8 s`b + hds + 5 s`b = 5 s`b hds + hds + 5 s`b

= 9 hds + 5 s`b , ;

.

9.5.8. 5 = 5 + , ;

5 = ; (G )

C.N. 5 = ; 5 = ; = ; , = 5 , = 9

= + +

= 9 = ; = + +

= + + + = + 5 +

= + 5

= 5

+

+ 5

= = 8 N 3

8 + 5 5 5 + 5 > 5 = 5 + 8 > 5 5 = 5 +

8 = 5 =

> = 9 = = + 5 5 = ; =


15/36

= + = + + + + = 5 + +

= >

+

+

E.C. ;= + + = 5

= 5 + + = 5 + = 9 9 9 9; 5 9; > 9

= 558/9599/<

= > + = > + = ;

= 9/79/?59?/0

= + + + , ;9.8.9. 6 ; 3

= + = +

I 6 ; . E3= = 9 + ,

= = = + , . C , = ; ( ) . 3

;= ;= + , 9.8.5. ; . E 3

+ = .

9 5

H 9+

9 5

H

()

9+

()() H


16/36

= ; + = ; + = ; = /

E.C. ;= = = / (C )

=

= 9 ; 3

+ = 9 + 9 = 9 = / = = = 9 = / + 9 E.C.

;= + 9 = =

= 9 / (C )5. ( )

5.9.I F@

55

99

5

85 +=++++

. 9 = >/8 5 = 9/8 ,

5.9.9. = .

5.9.5. = (;.1) .

5.9.8. () .

5.5.E F@

9 = 9 5 = 9 .

5.5.9. .

5.5.5. ( ) .

5.5.8. .

5.9. + 5 + + 9 + = + 5 5 3

+ 9 +

5= 5

.


17/36

5.9.9. = 3 + 85 9+ 95 5= 5

:

.

= ;3

; + 9 + 5= ; 5

;=

9 ; = 93 9 + ; + 9= 9 9 9=

9 ; 5 3

+85 9 +

95 5= ;

C.N. + + = ; + 9 + = ; = 9 , =

= 9 + .

= 9

+

E.C. ;= + = = 8 , = 9= = = 8 9 + , 5 3

= 9 8 , = 5> 8 , = 9 ?


18/36

. + 9 + 5= 5 = 9 + E.C. y9= C 5C =

C = 8 , C =

y5= C + >C = = 8 9 + , ; . N (F@) 5 , .

+ 85 9 + 95 5= : = + + = 9 = O : = + = 9 + + E :E.C. y9= C 5C + = ; C = 9 , C = y5= C + >C + = ; E

3

= 9 98 95 + 98 5 , F@ 3

= 9 98 95 + 98 5

. E 5 3

= = 9 98 95 + 98 9 >8 95 + 98 5.


19/36

= + = 89 + + 9 + 9 + 5

= 59 +

+ 9

+ 5

. E , .

;= 5 + + = 9= 5 + = 5= 5 + + 9 + =

5.9.5.

=

+ 9+ 5= > 5

+ 9 + 5= ; E 5.9.5 . 3

= 8 9 + 1

< 9

5

.

= , = .E ; 3 + 9+ 5= + 9 + 5 = 8 +8 +5 > = = 9 = 9 = O 3 = 9 + , ; E.C. y9= C 5C 5 = ;

C = > , C = 8

y5= C + >C + 7 = ;


20/36

E = 3= > 9 8 95

95

= 5 , F@ 3= 5= > 9 8 95 5 95 5

= >9 > > 5. , 3

= = > 9 8 95 95

>9 > 95

> 95

5

= + = 9 + 98 9 + 9 95 5

5.9.8. A , F@

CIBDBC OAACFAMA .

]Sbx ]Sby

5

8

5

9 9

]S]}S{s cbybyc

=


21/36

5.5.

]Sbx ]Sby

5

9

>

9

]Sbl

5.5.9. = = =

= 9

= s= 3

+ 9> 5= 95 9.

5.5.5. = . E = . + 9> 5= 95 9 .

= ; 3 ; + 5= ; 9 ;= 9 ; 9 ;

= 9 3

9 + 9= 9

; 9=

; ; 9 5 . 3 + 9> 5= ; , 5

C.N. + = ; = = / , = = /G :

=

hds

+

s`b

: .


22/36

O : = hds + s`b E.C. ;= = 9

9= = = 9

= 95

hds 5 s`b 5 5.5.8. .

+ 5= 9

G : +

5= ; C.N. + = ; = = / , = = /= hds + s`b E .

9= = 9 =

5=

= 9

=

= hds + s`b , F@ , = 9 .

= 3 = N 3

+ = 9 = = hds + s`b + = . 39= + = ; = 5= + = ; = = hds + s`b +


23/36

= 9 F@ 3= 9= hds 9 + s`b 9+ 9

= s`b hds + 9

= s`b hds + 9 3

= = hds + s`b + s`b hds + 9

. E 3

= + = hds + s`b + s`b hds + 9

.


24/36

8>8 8

. . . .

9. ()

.

9.9.= 5 , = 58 = =4 9.5.

t-9 9

9

;

a-ta

t

g(t)

t9;

x(t)

8

-9

5

= =4 9.8.

b-9 9;

xSb]

b1 ?

55

9

-9

5 >8

9

;

-5

9

5

9

= =4 9.>. = 9 , = = =4 :9.9.

= = = 9>

+

= 9 + .


25/36

8 + ; 8 + = 9 , 8 . = 5 , 5 1 .

= 5 97

, 1 .

6 1,

= >

9

8 + = 9.

= 5

9

8 + = 9 . = 5 6 1 8 + = 9 .

= 5 97

, 6 1 .

= 5 97

, 1

5 97 , 6 1 ,

1 = 5 = . . 6 1 = 5 = 5. .,

= 5

. 91 . 7? , 1

.

9.5.

9 .= ; .

= 5 = 5 = 5 9 ;


26/36

-9

9

;

a-a

x() g(t-)

t

t-8 t-9

9

-9

5

-9

9

;

a-a

x() g(t-)

t

t-8 t-9

9

-9

5

5

-9

9

;

a-a

x() g(t-)

t

t-8 t-9

9

-9

5

5 8

-9

9

;

a-a

x() g(t-)

t

t-8 t-9

9

-9

5

5 8 >

-9

9

;

a-a

x() g(t-)

t

t-8 t-9

9

-9

5

5 8 > 1

= 9. + 5. + 5. = + = + + +

= + + >

; 9

= 9. + 9.

+ .

= +

= 9 +

+

9

+

= +

9

= 9. + 9.

= +

= 9 +

+

9

= + +

= 9. =

=

>

> .= ; .


27/36

=; 9 9 ; + + > ; 9 + 9 + +

>; >

.

9.8.= 5, 9,9, ;, ;, 5 , = ;,5,9, ;, ;, 5, 9 , = =4 > 9 ; 9 9 9 ; ; ; 9 > 1 ; 9 ; ; 9 > 9 ; 9 > 1

; > ; ; > ; 9 ; ; 9

; 9 ; ; 9; ; ; ; ; ; ;

; ; ; ; ; ; ;; > ; ; > ; > ; 9 > ; 9 9 ; > = > ; 9 > ; 9 9 ; >

9.>.

= = = 9

= 9

= 9= 9 9= 9 9 9


28/36

5. ( )

,

. .

= + 9> 5: = = + 9> 5

/: 5 . : 6 ; = ; 5= ; . 6 ; = ;

.

: .

6 + 9> 5

= 9 + 9> . 9 = 1>6 .

: = .

+9> 5 =

+ 9> 5 = + 9> 5= = . = ;. = ;. , .

= ;.

6 ;

= ;

.


29/36

= ;

= ; ; + 5= ; ;= 9 = 9 9= ; = 5 5= = 8 8= ; = > >= = 1 1= ; =


30/36

8>8 >

. . . .

9. ( () )

9.9.() () L .

() = >. L

. C () .

9 () = 5(+ 9) 5( 9) ,

=

=+=

5

5)9(5)9(5

>

9 559

9

5

==

5)()(

,...5,9,5

5

5

9=

=

=

() . E ! ,;= ;.

() L :

=

=

==

555

)(

() = 8 ; = 5/8. O , () L

,

=

=

==

85

8

>

8

5

5

5

55

8

9 85

8

5

9

9

8

5

() L :

=

=

==

8

5

8

5

8

5

8

>)(

9.5.() () 56 6 5 .

() = > ;= /5 ,

>>55 ; 6666

5

5;

==


31/36

;;;; ;,;; ===

;99

;999 ;,/53;,/5/5 =====

;55

;555 ;,;3;,;; =====

;88

;888 97;,8/5397;,8/58/5 =====

() = 8 ;= 5/8 ,

8855 ; 6666

;;;; ;,8/>8/> ===

;99

;999 ;,/?8.93;,/?8.9/?8.9 =====

;55

;555 97;,/7

58

55

59

5;

5=+++++== =

,9>

9)(

>

9 8

9

8

9

5

===


32/36

,()

89.08%9

0889.;==

. , .

() ,

,8

7>

8

9)(

8

9 9

9

5

9

5

===

;88

;888 ;,;3;,;; =====

;>>

;>>> ;,/>88.;3;,/>88.;/>88.; =====

;11

;111 97;,/8>.;397;,/8>.;/8>.; =====

() ,

,1071.55 1

1

51

5>

58

55

59

5;

5=+++++== =

, ()

>1.0?%8/7

1071.5==

. , ()

.

9.>.() () () ()

.

() ,


33/36

,...5,9,8

5

59(55)( 8

9==

+9 1 > ;)( =

5. ( () )

5.9. L .

= >.

9>

9

>

95

8

58

;

5

=

+== 3 = ;, 9, 5, 8

9 L )9(5

93;)39(

5

93; 859; +====

= 5.

5959

59 9

;

=

== 3 = ;, 9

9 L 5

83

5

99; ==

9 ()


34/36

5.5. .

L .

;8

;9 >1

885>1

99;5

53;3

5

53; ======

5

83

5

9 9

97;;;

;; ===

5.8. .

L

.

== ==== 9

;

58

;

5 ,1.55

9,9

>

9

== ==== 9

;

58

;

5 ,1.5,9

5.>. =* L .

. E

.

= (>, 5) = >

==

,

)'(8,5,9,;,8

;

=== =

;885599;;;8

;

=+++===

;5895;99;998

;

=+++===

;98;5995;558

;

=+++===

;;895598;88

8

;

=+++===

, = ; . I ,

==


35/36

. I ; = 5/>

. E

. . I .

;)35

5(5

83;3

5

98;59; ======

. E(= ;, 9, 5, 8)

;>3;>3;>3;> 888555999;;; ========

.

. ,

=+=

>8>5>9>

==

5955

=

=

=

=

++=

++

+=

=

>5>585>55>895>5>

59>8559>5559>9559>5

5>85>55>95>

,

; = 9 8 + 5 = ;3 9 = 9 + 9 = ;3 5 = 9 8 + 5 = ;3 8 = 9 + 9 = ;

.

5.1. = L .

.

==

. N

5.> /5 . , = >

)39(1.;3;)39(1.;3; 859; +==== ;31.93;31.; 859; ====

. , L

= = 8

;

:

;985589;;8

;; =+++== =

+=+++== = 1.;5885;99;8

; 99

;88;5995;8

; 55 =+++== =

=+++== = 1.;;895598;8

; 88

L

+=++=+++==

= ;555

8

855

9;

8

;

5 >8>0.


36/36

. E , 9 = ;, 9, 5, 8

.

( )

( )

( )

( ) 5>8>0.88818

9>8>0.5>815

5>8>0.91819

9>8>0.

.

59>8559>5559>9559>5

5>85>55>95>

++

+=

=

=

=

= ;, 9, 5, 8 . E

:

Documents

İşaret Ve Sistemler - Pamukkale Üniversitesi Uygulamalar Ve Örnek Soru Çözümeri