Transcript BE-6

Active Filter
Part : 2
สุริยา วิทยา
ประดิษฐ์
[email protected]
วัตถุประสงค์
Copyright © S.Witthayapradit 2012
 รู้จกั ชนิดของวงจรกรองความถี่ทางอิเล็กทรอนิ ก์
 ์ามารถเลือกใช้วงจรกรองถี่ได้เหมาะ์มกับงาน
 ์ามารถออกแบบวงจรกรองความถี่ทางการแพทยได้
Idealized Filter Response
Copyright © S.Witthayapradit 2012
High Pass Filter
|H(jw)|
|H(jw)|
Low Pass Filter
w
wC
0
0
Band Stop Filter
|H(jw)|
|H(jw)|
Band Pass Filter
w
wC
0 wL
wH
w
0
wL
wH
w
Ideal & Practical Response
Copyright © S.Witthayapradit 2012
Stop Band
Pass Band
Stop Band
|H(jw)|
Pass Band ripple
Ideal
Practical
Transition Band
Stop Band ripple
wL
wH
w
Magnitude Response
Copyright © S.Witthayapradit 2012
Low Pass Filter
wC = wH
Input
wC = w L
Output
0
0
-20
-20
-40
1.0Hz
High Pass Filter
Low Pass
Filter
High Pass
Filter
Band
Pass
Filter
10Hz
100Hz
1.0KHz 10KHz100KHz
Frequency
Wide Band
Narrow Band
-40
10Hz
100Hz
1.0kHz
10KHz 100KHz
Frequency
Magnitude Response
Copyright © S.Witthayapradit 2012
0
-1
3dB
-2
Band Width(BW)
-3
fL = 300Hz
-4
fH = 4KHz
-5
-6
Copyright © S.Witthayapradit.2009
100Hz
1.0KHz
Frequency
10KHz
Response Filter
Copyright © S.Witthayapradit 2012
C2
47pF
40
(11.007kHz)
R2
220k
VCC
2.2k
30
8
R1
U1
2 -
1
3 +
LF353
4
Vs
0
VEE
VDB
20
100Hz
1.0KHz
10KHz
Frequency
100KHz
Response Filter
Copyright © S.Witthayapradit 2012
C2
47pF
40
R2
220k
C1
R1
20
2 -
22nF 2.2k
1
3 +
LF353
4
Vs
U1
8
VCC
0
VEE
VDB
0
100Hz
1.0KHz
10KHz
Frequency
100KHz
Band Pass Filter
Copyright © S.Witthayapradit 2012
SallenKey
Multip
le
Feedba
ck
Sallen-Key Band Pass Filter
Copyright © S.Witthayapradit 2012
C2
10n
0
3
R3
30K
+
4
-
U1
0
EUK
MA X4130
1
OU T
VC C
R4
0
VDB
V+
Vin
C1
10n
5
R1
15K
2
R2
15K
V-
R1  R2  R
R3  2R
C1  C2  C
1
fM 
2  R  C
VE E
R5
Sallen-Key Band Pass Filter
Copyright © S.Witthayapradit 2012
C2
10n
0
3
R3
30K
+
4
-
U1
0
EUK
MA X4130
1
OU T
VC C
R4
0
VDB
V+
Vin
C1
10n
5
R5
Inner
Gain
(G ) 1
R4
G
AM 
3 G
1
Q
3 G
R1
15K
V-
R2
15K
2
VE E
R5
Multiple Feedback BPF
Copyright © S.Witthayapradit 2012
R2
300k
U1A
R1
2 15k
C1
3.3nF
3 +
LF353
4
R3
15k
1
V-
VS
VCC
V+ 8
C2
3.3nF
0
0
0
VEE
C1 = C2 =C
VDB
Q
R2 
  fM  C
R2
R1 
 2AM
 AM R1
R3 
2
2Q  AM
Multiple Feedback BPF
Copyright © S.Witthayapradit 2012
20
10
C1  C2  C  3.3nF
(7.8674kHz)
(12.711kHz)
0
fM = 10kHz
AM = -2
Q = 2
-10
-20
1.0KHz
3.0KHz
VDB(U1A:OUT)
10KHz
Frequency
30KHz
100KHz
Multiple Feedback BPF
Copyright © S.Witthayapradit 2012
R2
300k VCC
8
C2
3.3nF
15k
3
+
1
OUT
LF353/NS
VDB
4
R3
15k
C1
3.3nF
-
V-
2
V+
U1A
R1
VS
Q
R2 
  fM  C
2
R2 
  10kHz 3.3nF
0
0
0
VEE
 AM R1
R3 
2Q 2  AM
 (2)5k
R3 
2  22  (2)
R2
R1 
 2AM
20k
R1 
 2(2)
Multiple Feedback BPF
Copyright © S.Witthayapradit 2012
R1  R3
1
fM 
2  C R1 R2  R3
R2
180k
U1A
R1
2 68k
C1
10nF
3 +
LF353
4
R3
2.7k
1
V-
VS
VCC
V+ 8
C2
10nF
0
0
0
VEE
VDB
R2
AM  
2  R1
Q    fM  R2  C
fM
1
BW  
Q   R2  C
C1 = C2 =C
fM = 736Hz , AM =-1.32 , Q = 4.16 , BW
Magnitude & Phase Response
Copyright © S.Witthayapradit 2012
100d
MFB-BPF
10
0
-10
-20
100Hz
Sallen-Key
1.0KHz
Frequency(Hz)
10KHz
Phase(degree)
Magnitude(dB)
20
Sallen-Key
0d
-100d
MFB-BPF
-200d
-300d
100Hz
1.0KHz
Frequency(Hz)
10KHz
Phono - Cardigraphy
Copyright © S.Witthayapradit 2012
Pre-Microphone
[MAX4465-69]
Band Pass Filter
MAX4130
Class D Amplifier
MAX9700
Mic
C2
1nF
4
U1
-
C1
0.1uF 3 +
Vin
R1
330K
0
VDB
VCC
15
5
0
20
R3
82K
1
2
R2
9.1K
VEE
MAX4130
10
5
1.0Hz
10Hz
100Hz
1.0KHz10KHz
Frequency
Maximum Heart Rate(MHR)
Copyright © S.Witthayapradit 2012
MHR  220 age
USA    206.9  (0.67xAge
)
UK  M  202 (0.55xAge
)
 F  216 (1.09xAge
)
Heart Rate Monitoring
Copyright © S.Witthayapradit 2012
http://rick.mollprojects.com/
Band Pass Filter
Av = 101
Peak Detectot &
Level Shift
Band Pass Filter
Av = 100
Band Pass Filter
Av = 10
RX
Handy-Board
&
Display
Heart Rate
Monitoring
Copyright © S.Witthayapradit 2012
www.maximintregrated.com
Copyright © S.Witthayapradit 2012
Idealized & Practical of BSF
Copyright © S.Witthayapradit 2012
Pass Band
Stop Band
Pass Band
|H(jw)|
Pass Band ripple
Ideal
Practical
Transition Band
Stop Band ripple
wL
wH
w
Wide Band : Band Stop Filter
Copyright © S.Witthayapradit 2012
Low Pass Filter
wC = wL
Summing
INPUT
OUTPUT
High Pass Filter
wC = wH
C2
10n
R2
5.6K
-5
RF
20K
-10
RB
20K
5
C1
100n
Vin
RA
20K
U3
4 -
VCC
-15
1
3 +
MAX4130
2
VDB
R1
5.6K
VDB
-0
VEE
BSF
VDB
-20
100Hz
1.0KHz
Frequency
10KHz
Characteristic : Band Stop Filter
Copyright © S.Witthayapradit.2009
Copyright © S.Witthayapradit 2012
0
-6
Bandwidth
fH = 2KHz
fL = 500Hz
-12
-18
-24
-30
-36
100Hz
t©
h
r ig
y
p
Co
S.W
it
09
0
2
it .
d
pra
a
y
t ha
fO
1.0KHz
Frequency
10KHz
Band Stop Filter
Copyright © S.Witthayapradit.2009
Copyright © S.Witthayapradit 2012
Twin-T
Wien
Robinson
Twin-T Band Stop Filter
5
VC C
+
2
3
V-
R2
R1
1
OU T
MA X4130
VE E
V+
VC C
5
C3
R3
C2
R4
1
OU T
MA X4130
V-
C1
-
U2
4
+
3
R5
2
Vi n
V+
U1
4 -
VD B
Copyright © S.Witthayapradit 2012
VE E
0
1
fO 
2  R  C
1
Q
4(1 k)
R5
k
R 4  R5
Twin-T Band Stop Filter
Copyright © S.Witthayapradit 2012
fO=50Hz , Q = 2.75 and C =
68nF
+
2
3
V-
R2
R1
1
OU T
MA X4130
VE E
V+
VC C
5
C3
R3
C2
R4
1
OU T
MA X4130
V-
C1
-
U2
4
Define
: R5  100k
+
3
R5
2
Vi n
V+
U1
4 -
1
2  fO  C
1
R
 47k
2  50Hz 68nF
R
VD B
5
VC C
VE E
0
1
K  1
4 Q
R5
k
R 4  R5
R4  ______
Twin-T Band Stop Filter
Copyright © S.Witthayapradit 2012
100d
0
5
VC C
+
-20
Phase Response
2
3
V-
R2
47K
0d
1
OU T
MA X4130
VE E
VC C
5
C3
136nF
V+
R3
23.5K
-
U2
4
R4
10K
-100d
-30
10Hz
30Hz
50Hz
C1
68nF
C2
68nF
OU T
MA X4130
V-
1
2
Vi n
R1
47K
-10
V+
U1
4 -
VD B
Magnitude Response
VE E
+
Frequency
3
R5
100K
0
90Hz
Twin-T Band Stop Filter
Copyright © S.Witthayapradit 2012
1.0V
0.5V
0V
-0.5V
Input Signal
1.0V
0.5V
-0.5V
0s
2.0s
Output Signal
Time
4.0s
Twin-T Band Stop Filter
Copyright © S.Witthayapradit 2012
Spectrum Magnitude (dB)
Amplitude
1.5
1
0.5
0
1
2
3
Time(Sec)
4
Amplitude
1
0.5
0
-0.5
0
0
-50
-100
-150
0
Spectrum Magnitude (dB)
-0.5
0
50
50
Frequency(Hz)
100
50
Frequency(Hz)
100
50
0
-50
-100
1
2
Time(Sec)
3
4
-150
0
Wien Robinson BSF
Copyright © S.Witthayapradit 2012
R3
R1
5
R2
U1
4 -
VCC
CA
RA
1
RB
VEE
R2

R3

R2
R4
VCC
1
3 +
CB
2
3 +
U2
4 -
2
R4
5
Vin
R5
VEE
1
fO 
2  R  C
1 
Q
3

AO 
1 
Wien Robinson BSF
Copyright © S.Witthayapradit 2012
Specify BW or Q and Determine 
Define fO and C and calculate R with:
  3Q-1
1
R
2  fO  C
Specify AO and Determine 
R3 and R4
R3 = R2 / 
And
R4 = R2 / 
And
R5 = 2 R1
U1
4
U2
4
VCC
CA
68nF
-
RA
47K
1
3
R5
2K
5
R2
18K
5
Define R2 and calculate
R4
1K
R1
1K
VCC
VDB
1
3
CB
68nF
+
+
VEE
2
Vin
R3
2.2K
2
  AO x 3Q
VEE
RB
47K
Wien Robinson BSF
Copyright © S.Witthayapradit 2012
300d
10
Magnitude Response
-0
200d
Phase Response
-10
100d
-20
>>
0d -30
10Hz
30Hz
Frequency
50Hz
70Hz
Reference
Copyright © S.Witthayapradit 2012
[1] Sergio Franco , “Design with Operational
Amplifiers and Analog Integrated Circuits” ,
Third edition , McGraw-Hill , 2002.
[2] Ron Mancini , “ Op Amps for Everyone” ,
Texas Instruments ,2002.
[3] James W.Nilsson , Susan A.Riedel , “Electric
Circuits” , 8th Edition , Prentice Hall , 2008.
[4] Thomas L.Floyd , “Electronic Devices” , 7th
Edition , Prentice Hall Inc. , 2005.
[5] http://rick.mollprojects.com/ , HRM Receiver
, 2009.
EEET0470
Biomedical
Electronics
Active Filter
Part : 2
The End
Q & A
สุริยา วิทยา
ประดิษฐ์
[email protected]
Exercises
Copyright © S.Witthayapradit 2012
Power Spectrum Magnitude (dB)
ให้ออกแบบวงจรกรองความถีห่ ยุดผ่าน เพือ่ ขจัดคลืน่ ไฟฟ้ าสอดแทรก(Interference)
ในคลืน่ ไฟฟ้าหัวใจจากสเปกตรัมทีว่ ดั ได้
0
-20
-40
-60
-80
-100
-120
0
20
40
60 80 100 120
Frequency
  BW 2 
AdB  10 log
1  3dB  
  BWdBx  