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tài liệu khoa điện trường đh Bách khoa tphcm. hcmut
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7/18/2019 Tn hiu h thngLecture 04
1/18
Signal & Systems- Tran Quang Viet FEEE, HCMUT Semester: 02/09!0
Lecture-4
"0"00! T#n $i%u ' $% t$(ng
Phn tch h thng LTIC trongPhn tch h thng LTIC trongmin thi gianmin thi gian
)i*i t$i%u)i*i t$i%u+- .ng *i ng ' 1ng 3$4ng+- .ng *i ng ' 1ng 3$4ng+- .ng 5ung 67n 8+- .ng 5ung 67n 8 tt+- .ng *i ng ' 1;t 3
7/18/2019 Tn hiu h thngLecture 04
2/18
Signal & Systems- Tran Quang Viet FEEE, HCMUT Semester: 02/09!0
+- .ng *i ng ' 1;t 3$ >$@- >nlutin
Tnh cht c'! tch chp
Tnh cht k$t h5p ./t tch chp c'! ,(t)3 g(t) v h(t)( ) [ ( ) ( )] [ ( ) ( )] ( ) [ ( ) ( )] ( ) ...f t g t h t f t g t h t f t h t g t = = =
4m 1 1 1 1( ) [ ( ) ( )] ( )[ ( ) ( )]f t g t h t f g t h t d
=
1 2 1 2 2 1( ) ( ) ( )f g h t d d
= 0t 3 1 2 3 2d d = + =
1 3 1 3 3 1( ) [ ( ) ( )] ( ) ( ) ( )f t g t h t f g h t d d
=
1 3 1 1 3 3( ) ( ) ( )f g d h t d
= [ ( ) ( )] ( )f t g t h t=
7/18/2019 Tn hiu h thngLecture 04
11/18
Signal & Systems- Tran Quang Viet FEEE, HCMUT Semester: 02/09!0
T#>$ >$@- >nlutin
Tnh cht c'! h6 th2ng tch chp
76 th2ng tch chp l tu+$n tnh
1 1 2 2 1 1 2 2( ) [ ( ) ( )] ( ) ( ) ( ) ( )h t a f t a f t a h t f t a h t f t + = +
76 th2ng tch chp l bt bi$n ( ) ( )f t T y t T
8h/p n2i ti$p 9 h6 th2ng tch chp
1( )h t 2 ( )h t
( )f t ( )y t1( )y t
1 2( ) ( )h t h t ( )f t ( )y t
7/18/2019 Tn hiu h thngLecture 04
12/18
Signal & Systems- Tran Quang Viet FEEE, HCMUT Semester: 02/09!0
T#>$ >$@- >nlutin
Tnh cht c'! h6 th2ng tch chp
: ;< v= o p ng .ung c'! h6 th2ng tch chp
( )h t
( )h t
7/18/2019 Tn hiu h thngLecture 04
13/18
Signal & Systems- Tran Quang Viet FEEE, HCMUT Semester: 02/09!0
+- .ng *i t#n $i%u $'m mA -$.>
Dch 1i vE .i+u i-n tn hiu + tnh p ng cF4 h thngGchi ti!t
vE cch .i-u i-n tn hiu th7o Hng h1 1 phc (chuIiJouri7r,
.i!n Ki Jouri7r) 8L 9c E cp nhNng ch9Ong 84u
56t p ng vi h1 1 78t, 8: .i!n phc
( )( ) ( ) ( )st s ty t h t e h e d
= = ( ) ( )
st sy t e h e d
=
PQt: ( ) ( ) sH s h e d
= ( ) ( ) sty t H s e =
R1 tru@En: ( ) stinput signal e
output signalH sinput signal =
=
( )( )
( )
P sH s
Q s=( ) ( ) ( ) stQ D y t P D e=
= (
7/18/2019 Tn hiu h thngLecture 04
14/18
Signal & Systems- Tran Quang Viet FEEE, HCMUT Semester: 02/09!0
T#n$ =n 68n$ >?a $% t$(ng
Snh Kn ;nh cF4 h thng phC thu
7/18/2019 Tn hiu h thngLecture 04
15/18
Signal & Systems- Tran Quang Viet FEEE, HCMUT Semester: 02/09!0
T#n$ =n 68n$ >?a $% t$(ng
Pp ng cF4 h thng vi ngW vo .; gii hHn:
( ) ( ) ( ) ( ) ( )y t h t f t h f t d
= = ( ) ( ) ( )y t h f t d
1( )f t K < < 1( ) . ( )y t K h d
2( )h d K
< <
1 2( )y t K K <
56t p ng cF4 RS >SXD vi tn hiu vo (t)
!u (t) .; gii hHn:
BIBO
!u h thng Kn ;nh:
!u h thng 2hng Kn ;nh hoQc Kn ;nh .iAn @(t) 2hng .;gii hHn vi 1
7/18/2019 Tn hiu h thngLecture 04
16/18
Signal & Systems- Tran Quang Viet FEEE, HCMUT Semester: 02/09!0
T#n$ =n 68n$ >?a $% t$(ng
Zng Cng [4 vo tnh Kn ;nh
Sh[c t! h thng x\ l] tn hiu c^n ph$i Kn ;nhY R thng2hng Kn ;nh g"@ r4 ngW r4 2hng .; gii hHn (thc t: .$o h_4) vi 1
7/18/2019 Tn hiu h thngLecture 04
17/18
Signal & Systems- Tran Quang Viet FEEE, HCMUT Semester: 02/09!0
T#n$ =n 68n$ >?a $% t$(ng
'( )y t
''( )y t
( )y t
2 2
0 0''( ) ( ) ( )y t y t t + =
Zng Cng [4 vo tnh Kn ;nh
M
''( ) ( ) ( )K K
y t y t x tM M
+ =
0
K
M = 2 2
0 0''( ) ( ) ( )y t y t x t + =
0 0( ) ( ) ( ) ( ) .sin( ) ( )x t t y t h t t u t = = =
= (
7/18/2019 Tn hiu h thngLecture 04
18/18
Signal & Systems Tran Quang Viet FEEE HCMUT Semester: 02/09!0
T#n$ =n 68n$ >?a $% t$(ng
Zng Cng [4 vo tnh Kn ;nh:
1 2 1 2;C C C R R R= = = =
Bi(t)
2
2 2 2
( ) ( )3 1( )o o o
d v t dv t Kv t
dt RC RC dt R C
+ +
2
2 2 2
( ) ( )3 1( )i i i
d v t dv t K v t
dt RC dt R C
= + +
3
4
1 R
KR
= + 3K=Dhan: PQt: 01
RC =
2 2 2 2
0 0 0( ) ( ) 3( 3 ) ( )o iD v t D v t + = + +