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the center frequency set the values and both the i

The center frequency set the values and both the integrators

660 Chapter 17

Vin

R 2C R
C C

C

C1 C2

R1
Vin OP-AMP Vout

Figure 17.36 : Active circuit (twin-T)

This is the frequency at which the signals passing along the two branches appear to be in antiphase and hence cancel. This cancellation effect causes a sharp dip in the response at and close to the resonant frequency.

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Filter Design

661
R1 R2 Vout

HP

C1 Vout
R3 R4 Vout LP
OP-AMP
OP-AMP

OP-AMP

R6

For signals above the critical frequency the low-pass response disappears and prevents the input signal from passing through the integrators. This results in the bandpass output peaking sharply at the critical frequency.

The Q factor or selectivity of the fi lter is determined by R5 and R6 in Figure 17.37 and may be calculated from the expression:

Q 1 ⎛⎜⎜ R 5
(1727)
3 ⎜⎜⎝ R 6
(1727)
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