n 8 l ; 0 > 8 5 e 5 b 5 f 3 0 g ; 0 g 8 @ 0 h o a · e f c ? c 3 c g h r t t r x { r { x x v r s...
TRANSCRIPT
–
–
COMPUTER SCIENCE, ENGINEERING, INFORMATICS DEVELOPMENT
COURSES for Undergraduate Students, Scientists & Engineers Email: [email protected], [email protected] Website: www.ceid-courses.gr Facebook: www.facebook.com/Ceid.Courses.Patra
2
........................................................................ 8
1 – ............................................................................................. 9
2 – .............................. 11
2.1 .................................................................................................... 11
2.1.1 MF ........................................................................ 12
2.1.2 Shannon ........................................................................................ 13
2.2 .................................................................................................... 14
3 – FOURIER
........................................................................................................... 16
3.1 ....................................................................................... 16
3.2 DFT ........................................................................................................................... 17
3.3 Fourier .............................................................................................. 18
3.3.1 ....................................................................................................... 18
3.3.2 ................................................................................................ 19
3.4 .......................................................................................................... 19
3.4.1 ................................................................................................................... 19
3.4.2 ..................................................................................................................... 20
3.4.3 .............................................................................................. 21
3.5 ............................................................................ 22
3.5.1 ........................................................................................ 22
3.5.2 .................................................................................... 22
4 – ........................................................................ 23
4.1 ................................................................................................................ 23
4.1.1 .............................................................................................. 23
4.2 ............................................................................................. 24
4.2.1 ............................................................................................ 25
4.3 ..................................................................................... 26
4.3.1 ..................................................................................................................... 28
3
4.3.2 ............................................................................................................. 28
4.3.3 ........................................................................................................... 29
5 – FIR ........................................................................................ 30
5.1 FIR ............................................................................................. 31
5.1.1 2L .............................................. 31
5.1.2 ................................................................................... 31
5.1.3 Min – – ........................................................................................... 33
6 – IIR ......................................................................................... 36
6.1 ....................................................................................... 36
6.2 ................................................................................................................. 36
6.3 Chebyshev 1 ................................................................................................... 37
6.4 Chebyshev 2 ................................................................................................... 38
6.5 .............................................................. 39
6.5.1 .......................................................................................... 39
6.5.2 ......................................................................................... 39
6.5.3 ..................................................................................... 40
6.6 IIR ......................................................................................... 40
6.6.1 ............................................................................................... 41
6.6.2 .................................................................................. 41
6.7 IIR ............................................................................................................ 42
7 – ........................................................... 47
7.1 ....................................................................................................................... 47
7.2 ............................................................................................................ 47
7.3 .......................................................................................................... 49
8 – ......................................................................... 50
8.1 .................................................................................................... 50
8.2 ........................................................................................ 53
8.3 ................................................................................................. 54
8.4 .......................................................................................................... 54
8.5 ....................................................................................................... 56
8.6 ...................................................................................................... 56
– .......................................................... 57
1 – ................................................................................. 58
4
1.1 ..................................................................................... 58
1.2 – ......................................................... 59
1.3 ............................................................................................................................ 60
1.4 ........................................................................................................................ 61
1.5 ...................... 61
1.6 .............................................. 61
2 – FOURIER
........................................................................................................... 63
2.1 .................................................................................................................................... 63
2.2 DFT .......................................................................................................................... 63
2.3 .......................................................................................................... 63
2.4 ........................................................................................................... 63
3 – FIR ........................................................................................ 65
3.1 ........................................................................................................................ 65
3.2 – .................................................................................. 65
3.3 ............................................................................................................... 65
3.4 ............................................................................................................ 66
4 – ........................................................... 67
4.1 ....................................................................................................................... 67
4.2 ............................................................................................................................ 67
4.3 ........................................................................................................................... 67
5 – IIR ......................................................................................... 68
5.1 orth ................................................................................................................. 68
5.2 1 .................................................................................................. 69
5.3 2 .................................................................................................. 69
5.4 IIR ......................................................................... 70
5.5 IIR ....................................................................................... 70
5.6 IIR ....................................................................................... 71
6 – ......................................................................... 72
6.1 X – .................................................................................. 72
6.2 – – ............................................................... 72
6.3 – .................................................................................... 73
6.4 ........................................................................................ 73
6.5 ......................................................................................................................... 73
5
................................................ 75
1 – .............................. 76
2 – FOURIER
........................................................................................................... 80
3 – ........................................................................ 82
4 – FIR ........................................................................................ 83
5 – IIR ......................................................................................... 85
6 – ........................................................... 88
7 – .............................................. 91
.......................................................... 95
....................................................................... 193
1 ........................................................................................................ 194
2 ........................................................................................................ 194
3 ........................................................................................................ 194
4 ........................................................................................................ 195
5 ........................................................................................................ 195
6 ........................................................................................................ 195
7 ........................................................................................................ 196
8 ........................................................................................................ 196
9 ........................................................................................................ 197
10 ...................................................................................................... 197
11 ...................................................................................................... 198
12 ...................................................................................................... 198
13 ...................................................................................................... 199
14 ...................................................................................................... 199
15 ...................................................................................................... 199
16 ...................................................................................................... 200
6
17 ...................................................................................................... 200
18 ...................................................................................................... 201
19 ...................................................................................................... 201
20 ...................................................................................................... 202
21 ...................................................................................................... 202
22 ...................................................................................................... 203
23 ...................................................................................................... 203
24 ...................................................................................................... 203
25 ...................................................................................................... 204
...................................................................................... 205
7
8
–
( Fourier )
x t j tX j x t e dt
( )X j
s t n t
MFx t s t n t X j S j N j
(
9
&
10
…
–
57
–
1.1
–
f t f t f t f t
y y
· ·
· · f t 0a
a
f t dt
f t g t dt f t g t f t g t dtb b
b
aa a
f t g t dt f t g t f t g t dt
N
0
11
i
i
c cc
1 1i
i
cc cc
1
0
11
NNi
i
cc cc
p –
1
1 p
n n1p1p
Re{ } Im{ }z a jb z j z2 22 2 Re{ } Im{ }z a b z z
cos sinjz re r j z r
Im{z}
Re{z}
b
2
2
za
b
Im(z)
Re(z)
|z|=r
58
1.2 –
f t t T f t t T
2f at at T 2f at at T
2cosf cos cos2f
1. cos 0 1
2. 2cos 4 2
3. cos 024. cos 1
5. 3cos 026. cos 2 1
1. sin 0 0
2. 2sin 4 2
3. sin 124. sin 0
5. 3sin 126. sin 2 0
1. tan 0 0
2. tan 14
3. tan 24. tan 0
5. 3tan 26. tan 2 0
59
…
75
–
cos 2nkx nm
k m
ax t t t
a)b) nx ax t 1sT nx
3
a) 8sf KHzb) sT
3
h t H s
nh h t sf H z MZ nh a) H s s H z z
b) 2 H s H z
nx X z MZ ( )ax t
ML ( )ax t X z
sT
a) b)
ax t t t1sT
12sT
76
…
95
…………………………………………………………………………………………………………………………….....97
FOURIER
……………………………………………………………………………………………………………………………...115
……………………………………………………………………………………………………………………………...126
FIR
……………………………………………………………………………………………………………………………...127
5: IIR
……………………………………………………………………………………………………………………………...142
……………………………………………………………………………………………………………………………...161
……………………………………………………………………………………………………………………………...171
96
97
98
…
193
1
a – IIR
– IIR
ax t20KHz
2
–
a) – IIRb) – IIRc) c – FIR
x(n)H1(z) 2 3 H2(t)
y(n)
3
c – IIR
– IIR
6b – FIR
–
194
4
b –
– IIR
b –
,
a)
b) MF nx M
nx MF
01
0
1 s tL e u ts s
u t
5
–
a –
b –
– IIR
6
e – IIR
a b –
3
195
…
1998
J R Schafer Yoder
A Oppenheim R Schafer
-
Cons
Discrete-Brooks/Cole
Digit
Cambri
- -entice-
Wiley-
Discrete-
205
206