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Laporan Sementara Praktikum ISISUnit 5
Fadrian Jatmiko (32625)Rozi Akbar Permana (34568)
PERCOBAAN 1
Dengan b nilai negatif
close allclear all A=[1 0];B1=[1 -0.5];B2=[1 -0.7];B3=[1 -0.9];sysz1=tf(A, B1, 1)sysz2=tf(A, B2, 1)sysz3=tf(A, B3, 1) figure()axis squarepzplot(sysz1, sysz2, sysz3) figure()impz(A,B1,15)figure()impz(A,B2,15)figure()impz(A,B3,15)figure()freqz(A,B1)figure()freqz(A,B2)figure()freqz(A,B3)
Pole-Zero Map
Real Axis
Imag
inar
y A
xis
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-30
-20
-10
0
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-5
0
5
10
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-60
-40
-20
0
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-5
0
5
10
15
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-80
-60
-40
-20
0
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-10
0
10
20
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Dengan b nilai positif
close allclear all A=[1 0];B1=[1 0.5];B2=[1 0.7];B3=[1 0.9];sysz1=tf(A, B1, 1)sysz2=tf(A, B2, 1)sysz3=tf(A, B3, 1) figure()axis squarepzplot(sysz1, sysz2, sysz3) figure()impz(A,B1,15)figure()impz(A,B2,15)figure()impz(A,B3,15)figure()freqz(A,B1)figure()freqz(A,B2)figure()freqz(A,B3)
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 14-0.5
0
0.5
1
n (samples)
Am
plitu
deImpulse Response
0 2 4 6 8 10 12 14-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
n (samples)
Am
plitu
de
Impulse Response
0 2 4 6 8 10 12 14-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
n (samples)
Am
plitu
deImpulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
10
20
30
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-5
0
5
10
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
20
40
60
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-5
0
5
10
15
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
20
40
60
80
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-10
0
10
20
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Percobaan 2
Dengan b nilai negatif
close allclear all B=[1 0];A1=[1 -0.5];A2=[1 -0.7];A3=[1 -0.9];sysz1=tf(B, A1, 1)sysz2=tf(B, A2, 1)sysz3=tf(B, A3, 1) figure()axis squarepzplot(sysz1, sysz2, sysz3) figure()impz(B,A1,15)figure()impz(B,A2,15)figure()impz(B,A3,15)figure()freqz(B,A1)figure()freqz(B,A2)figure()freqz(B,A3)
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-30
-20
-10
0
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-5
0
5
10
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-60
-40
-20
0
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-5
0
5
10
15
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-80
-60
-40
-20
0
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-10
0
10
20
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Dengan b nilai positif
close allclear all B=[1 0];A1=[1 0.5];A2=[1 0.7];A3=[1 0.9];sysz1=tf(B, A1, 1)sysz2=tf(B, A2, 1)sysz3=tf(B, A3, 1) figure()axis squarepzplot(sysz1, sysz2, sysz3) figure()impz(B,A1,15)figure()impz(B,A2,15)figure()impz(B,A3,15)figure()freqz(B,A1)figure()freqz(B,A2)figure()
freqz(B,A3)
0 2 4 6 8 10 12 14-0.5
0
0.5
1
n (samples)
Am
plitu
de
Impulse Response
0 2 4 6 8 10 12 14-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
n (samples)
Am
plitu
deImpulse Response
0 2 4 6 8 10 12 14-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
10
20
30
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-5
0
5
10
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
20
40
60
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-5
0
5
10
15
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
20
40
60
80
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-10
0
10
20
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Percobaan 3
close allclear all B1=[1 -(2/sqrt(2)) 1];A=[1];sysz1=tf(B1, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B1,A,15) figure()freqz(B1,A) B2=[1 0 1]A=[1];sysz1=tf(B2, A, 1) figure()axis squarepzplot(sysz1) figure()
impz(B2,A,15) figure()freqz(B2,A) B3=[1 (2/sqrt(2)) 1]A=[1];sysz1=tf(B3, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B3,A,15) figure()freqz(B3,A)
Gambar keadaan 1
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 14-1.5
-1
-0.5
0
0.5
1
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-50
0
50
100
150
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-400
-200
0
200
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Gambar keadaan 2
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-100
-50
0
50
100
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-40
-20
0
20
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Gambar Keadaan 3
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 140
0.5
1
1.5
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-150
-100
-50
0
50
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-400
-200
0
200
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Percobaan 3b
close allclear all B1=[1 0 1];A=[1];sysz1=tf(B1, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B1,A,15) figure()freqz(B1,A) B2=[1 0 0.2]A=[1];sysz1=tf(B2, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B2,A,15) figure()freqz(B2,A) B3=[1 0 0.25]A=[1];sysz1=tf(B3, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B3,A,15) figure()freqz(B3,A)
Gambar Keadaan 1
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-100
-50
0
50
100
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-40
-20
0
20
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Gambar Keadaan 2
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-40
-20
0
20
40
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-10
-5
0
5
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Gambar Keadaan 3
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 140
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-20
-10
0
10
20
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-4
-2
0
2
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
Percobaan 4
close allclear all B1=[1];A=[1 -(2/sqrt(2)) 1];sysz1=tf(B1, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B1,A,15) figure()freqz(B1,A) B2=[1]A=[1 0 1];sysz1=tf(B2, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B2,A,15) figure()freqz(B2,A) B3=[1]A=[1 (2/sqrt(2)) 1];sysz1=tf(B3, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B3,A,15) figure()freqz(B3,A)
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 14-1.5
-1
-0.5
0
0.5
1
1.5
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
100
200
300
400
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-200
0
200
400
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 14-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
n (samples)
Am
plitu
deImpulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-100
-50
0
50
100
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-20
0
20
40
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 14-1.5
-1
-0.5
0
0.5
1
1.5
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
100
200
300
400
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-200
0
200
400
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
PERCOBAAN 4B
close allclear all B1=[1];A=[1 0 1];sysz1=tf(B1, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B1,A,15) figure()freqz(B1,A) B2=[1]A=[1 0 0.5];sysz1=tf(B2, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B2,A,15) figure()freqz(B2,A) B3=[1]A=[1 0 0.25];sysz1=tf(B3, A, 1) figure()axis squarepzplot(sysz1) figure()impz(B3,A,15) figure()freqz(B3,A)
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 14-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
n (samples)
Am
plitu
deImpulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-100
-50
0
50
100
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-20
0
20
40
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 14-0.5
0
0.5
1
n (samples)
Am
plitu
de
Impulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-40
-20
0
20
40
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-5
0
5
10
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
-1 -0.5 0 0.5 1-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1Pole-Zero Map
Real Axis
Imag
inar
y A
xis
0 2 4 6 8 10 12 14-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
n (samples)
Am
plitu
deImpulse Response
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-20
-10
0
10
20
Normalized Frequency ( rad/sample)
Pha
se (
degr
ees)
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-2
0
2
4
Normalized Frequency ( rad/sample)
Mag
nitu
de (
dB)
