More Related Content Similar to Filter Design Using MATLAB (FDA Tool) (20) Filter Design Using MATLAB (FDA Tool)1. 1. Design FIR Windowing
a. LPF
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-2
-4
-6
-8
-10
-12
-14
-16
-18
Frequency (kHz)
Phase (radians)
Phase Response
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB) and Phase Response
-0.0644
-2.5724
-5.0804
-7.5884
-10.0964
-12.6044
-15.1124
-17.6204
Phase (radians)
Ossy Anita P ( 1203 1210 )
Jatayu Aghar ( 1203 1210 )
Yahya Rais ( 1203 1210 )
Ahmad A’an N ( 1203 1210 )
2. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.4
0.35
0.3
0.25
0.2
0.15
0.1
0.05
0
-0.05
Time (mseconds)
Amplitude
Impulse Response
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
1
0.8
0.6
0.4
0.2
0
Time (mseconds)
Amplitude
Step Response
-1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5
1
0.5
0
-0.5
-1
Real Part
Imaginary Part
16
Pole/Zero Plot
3. Numerator :
b. HPF
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
2
0
-2
-4
-6
-8
-10
-12
-14
-16
-18
Frequency (kHz)
Phase (radians)
Phase Response
4. 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB) and Phase Response
1.5967
-1.3979
-4.3925
-7.3871
-10.3816
-13.3762
-16.3708
-19.3654
Phase (radians)
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.6
0.5
0.4
0.3
0.2
0.1
0
-0.1
-0.2
-0.3
Time (mseconds)
Amplitude
Impulse Response
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.3
0.2
0.1
0
-0.1
-0.2
-0.3
Time (mseconds)
Amplitude
Step Response
5. Pole/Zero Plot
-4 -3 -2 -1 0 1 2 3 4
2
1.5
1
0.5
0
-0.5
-1
-1.5
-2
Numerator :
c. BPF
Real Part
Imaginary Part
16
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB)
6. 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
2
0
-2
-4
-6
-8
-10
-12
-14
-16
-18
Frequency (kHz)
Phase (radians)
Phase Response
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB) and Phase Response
1.6948
-1.3444
-4.3835
-7.4227
-10.4618
-13.501
-16.5402
-19.5793
Phase (radians)
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.4
0.3
0.2
0.1
0
-0.1
-0.2
Time (mseconds)
Amplitude
Impulse Response
7. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
2
1.5
1
0.5
0
-0.5
-1
-1.5
Numerator :
Time (mseconds)
Amplitude
Step Response
Pole/Zero Plot
-4 -3 -2 -1 0 1 2 3 4
-2
Real Part
Imaginary Part
16
8. 2. Design FIR Least Square
a. LPF
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-2
-4
-6
-8
-10
-12
-14
-16
-18
Frequency (kHz)
Phase (radians)
Phase Response
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB) and Phase Response
-0.1636
-2.8531
-5.5425
-8.232
-10.9214
-13.6109
-16.3004
Phase (radians)
9. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.6
0.5
0.4
0.3
0.2
0.1
0
-0.1
Time (mseconds)
Amplitude
Impulse Response
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
1.2
1
0.8
0.6
0.4
0.2
0
Time (mseconds)
Amplitude
Step Response
-1 0 1 2 3 4 5 6 7
1.5
1
0.5
0
-0.5
-1
-1.5
Real Part
Imaginary Part
16
Pole/Zero Plot
10. Numerator :
b. HPF
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
4
2
0
-2
-4
-6
Frequency (kHz)
Phase (radians)
Phase Response
11. 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB) and Phase Response
4.3205
2.7525
1.1846
-0.3834
-1.9514
-3.5193
-5.0873
-6.6552
Phase (radians)
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.3
0.2
0.1
0
-0.1
-0.2
-0.3
Time (mseconds)
Amplitude
Impulse Response
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
Time (mseconds)
Amplitude
Step Response
12. 2
1.5
1
0.5
0
-0.5
-1
-1.5
Numerator :
c. BPF
-1 0 1 2 3 4 5 6 7
-2
16
Real Part
Imaginary Part
Pole/Zero Plot
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB)
13. 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-2
-4
-6
-8
-10
-12
-14
-16
Frequency (kHz)
Phase (radians)
Phase Response
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB) and Phase Response
0.3022
-2.3885
-5.0792
-7.77
-10.4607
-13.1514
-15.8421
Phase (radians)
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.5
0.4
0.3
0.2
0.1
0
-0.1
-0.2
Time (mseconds)
Amplitude
Impulse Response
14. Pole/Zero Plot
-3 -2 -1 0 1 2 3
1
0.5
0
-0.5
-1
Numerator :
3. Design IIR
a. Butterworth
Real Part
Imaginary Part
16
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-50
-100
-150
-200
-250
-300
-350
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB)
15. 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-2
-4
-6
-8
-10
-12
-14
-16
-18
-20
Frequency (kHz)
Phase (radians)
Phase Response
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-50
-100
-150
-200
-250
-300
-350
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB) and Phase Response
-0.2215
-2.9526
-5.6838
-8.415
-11.1462
-13.8774
-16.6085
-19.3397
Phase (radians)
0 0.5 1 1.5 2 2.5 3
0.08
0.06
0.04
0.02
0
-0.02
Time (mseconds)
Amplitude
Impulse Response
16. 0 0.5 1 1.5 2 2.5 3
0.35
0.3
0.25
0.2
0.15
0.1
0.05
0
Time (mseconds)
Amplitude
Step Response
-2 -1.5 -1 -0.5 0 0.5 1 1.5 2
1
0.8
0.6
0.4
0.2
0
-0.2
-0.4
-0.6
-0.8
-1
14
Real Part
Imaginary Part
Pole/Zero Plot
17. b. Analog Prototype Chebychev
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-50
-100
-150
-200
-250
-300
-350
-400
-450
-500
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-5
-10
-15
-20
-25
Frequency (kHz)
Phase (radians)
Phase Response
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-50
-100
-150
-200
-250
-300
-350
-400
-450
-500
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB) and Phase Response
-0.711
-3.1984
-5.6858
-8.1732
-10.6606
-13.148
-15.6354
-18.1229
-20.6103
-23.0977
-25.5851
Phase (radians)
18. 0 20 40 60 80 100
0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
Time (mseconds)
Amplitude
Impulse Response
0 20 40 60 80 100
1.2
1
0.8
0.6
0.4
0.2
0
Time (mseconds)
Amplitude
Step Response
-2 -1.5 -1 -0.5 0 0.5 1 1.5 2
1
0.8
0.6
0.4
0.2
0
-0.2
-0.4
-0.6
-0.8
-1
Real Part
Imaginary Part
16
Pole/Zero Plot
19. c. Elliptical
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
-80
-90
-100
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB)
20. 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-5
-10
-15
-20
Frequency (kHz)
Phase (radians)
Phase Response
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
-10
-20
-30
-40
-50
-60
-70
-80
-90
-100
Frequency (kHz)
Magnitude (dB)
Magnitude Response (dB) and Phase Response
0.29
-2.0707
-4.4313
-6.7919
-9.1525
-11.5131
-13.8737
-16.2343
-18.5949
-20.9556
-23.3162
Phase (radians)
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
Time (seconds)
Amplitude
Impulse Response
21. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
1
0.8
0.6
0.4
0.2
0
Time (seconds)
Amplitude
Step Response
-2 -1.5 -1 -0.5 0 0.5 1 1.5 2
1
0.8
0.6
0.4
0.2
0
-0.2
-0.4
-0.6
-0.8
-1
Real Part
Imaginary Part
Pole/Zero Plot