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LTC1164MJ 查看數據表(PDF) - Linear Technology

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LTC1164MJ Datasheet PDF : 16 Pages
First Prev 11 12 13 14 15 16
U
ODES OF OPERATIO
Mode 3A
This is an extension of Mode 3 where the highpass and
lowpass output are summed through two external resis-
tors RH and RL to create a notch. This is shown in Figure
10. Mode 3A is more versatile than Mode 2 because the
notch frequency can be higher or lower than the center
frequency of the 2nd order section. The external op amp of
Figure 10 is not always required. When cascading the
sections of the LTC1164, the highpass and lowpass
LTC1164
outputs can be summed directly into the inverting input of
the next section. The topology of Mode 3A is useful for
elliptic highpass and notch filters with clock to cutoff
frequency ratios higher than 100:1. This is often required
to extend the allowed input signal frequency range and to
avoid premature aliasing.
When the internal clock-to-center frequency ratio is set at
50:1, the design equations for Q and bandpass gain are
different from the 100:1 case.
R1
VIN
R4
R3
R2
+
N
S
+–
Σ
1/4 LTC1164
MODE 2 (100:1):
fo
=
fCLK
100
1 + R2
R4
;
fn
=
fCLK
50
;Q=
R3
R2
1
+ R2
R4
;
HOLP
=
1
– R2/R1
+ (R2/R4)
( ) HOBP =
–R3/R1; HON1 (f
0)
=
1
– R2/R1
+ (R2/R4)
;
HON2
f
fCLK
2
= – R2/R1
BP
LP MODE 2 (50:1):
fo
=
fCLK
50
1 + R2
R4
;
fn
=
fCLK
50
;Q=
1.005 (1 + R2/R4)
(R2/R3) – (R2/16R4)
;
HOLP
=
– R2/R1
1 + (R2/R4)
HOBP
=
1
(RR33//R116R4);
HON1(f
0)
=
1
– R2/R1
+ (R2/R4)
( ) HON2
f
fCLK
2
= – R2/R1
NOTE: THE 50:1 EQUATIONS FOR MODE 2 ARE DIFFERENT FROM THE EQUATIONS
FOR MODE 2 OPERATION OF THE LTC1059, LTC1060 AND LTC1061. START WITH
fo, CALCULATE R2/R4, SET R4; FROM THE Q VALUE, CALCULATE R3:
R3 = 1.005
Q
R2
; THEN CALCULATE R1 TO SET THE DESIRED GAIN
1 + R2 + R2
R4 16R4
LTC1164 • MOO04
Figure 9. Mode 2: 2nd Order Filter Providing Notch, Bandpass, Lowpass
R1
VIN
R4
R3
R2
+
AGND
CC
HP S
BP
+–
Σ
1/4 LTC1164
RH
MODE 3A (100:1):
fo
=
fCLK
100
R2
R4
;
fn
=
fCLK
100
RRHL ; HOHP = – R2/R1; HOBP = – R3/R1
( ) HOLP
=
– R4/R1; HON1(f
0)
=
RG
RL
×
R4;
R1
HON2
f fCLK
2
=
RG
RH
×
R2
R1
( ) HON (f = fo) = Q
RG
RL
HOLP
RG
RH
HOHP
;
Q
=
R3
R2
R2
R4
LP
MODE 3A (50:1):
fo
=
fCLK
50
R2
R4
;
fn
=
fCLK
50
( ) RH;
RL
HOHP
f fCLK
2
= –R2/R1
HOBP = –
1 – (RR33//R116R4); HOLP(f = 0) = – R4/R1; Q =
1.005 (R2/R4)
(R2/R3) – (R2/16R4)
RG
RL
NOTE: THE 50:1 EQUATIONS FOR MODE 3A ARE DIFFERENT FROM THE EQUATIONS
FOR MODE 3A OPERATION OF THE LTC1059, LTC1060 AND LTC1061. START WITH
fo, CALCULATE R2/R4, SET R4; FROM THE Q VALUE, CALCULATE R3:
R3 = 1.005
NOTCH Q
R2
; THEN CALCULATE R1 TO SET
R2 + R2 THE DESIRED GAIN
R4 16R4
+
EXTERNAL OP AMP OR
INPUT OP AMP OF THE
LTC1164, SIDE A, B, C, D
LTC1164 • MOO05
Figure 10. Mode 3A: 2nd Order Filter Providing Highpass, Bandpass, Lowpass, Notch
1164fa
11

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