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AB-071

更新时间： 2024-11-22 23:26:55

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AB-071 - Design a 60Hz Notch Filter with the UAF42

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DESIGN A 60Hz NOTCH FILTER WITH THE UAF42

by Johnnie Molina, (602) 746-7592

DESIGN A 60HZ NOTCH FILTER WITH THE UAF42

where,

A_LP= gain from input to low-pass out at f = 0Hz.

The UAF42 is a monolithic, time-continuous, 2nd-order

active filter building block for complex and simple filter

designs. It uses the classical state-variable analog architec-

ture with a summing amplifier plus two integrators. This

topology offers low sensitivity of filter design parameters f_O

(natural frequency) and Q to external component variations

along with simultaneous high-pass, low-pass and band-pass

outputs. An auxiliary high performance operational ampli-

fier is also provided which can be used for buffering, gain,

real pole circuits, or for summing the high-pass and low-pass

outputs to create a band reject (notch) filter (see Figure 1).

A_HP= gain from input to high-pass out of f >> f_O.

Typically, A_LP/A_HP• R_Z2/R_Z1is equal to one. This simplifies

f_NOTCHto be,

f_NOTCH= f_O

f_Ois given by, f_O=

R_F• C • 2π

where, R_F= R_F1= R_F2and C = C₁= C₂

A notch filter is easily realized with the UAF42 and six

external resistors. Figure 2 shows the UAF42 configured

into a 60Hz notch filter. The auxiliary operational amplifier

is used to sum both the high-pass and low-pass outputs. At

f = f_NOTCH, both of these outputs times their respective gain

at the summing circuit are equal in magnitude but 180° out

of phase. Hence, the output goes to zero. Figure 3 shows the

response plot for the circuit shown in Figure 2 where

f_O= 60Hz and Q = 6.

Note that the notch frequency can be modified by simply

changing the R_Fresistors and/or adding external capacitors.

NPO ceramic, mica or a good film capacitor with low

dissipation factor characteristics is recommended.

The –3dB bandwidth, as shown in Figure 3, can be set by the

following calculations.

BW_–3dB= f_NOTCH/Q

where, BW_–3dB= f_H– f_L

The notch frequency for the notch filter is set by the

following calculations:

The filter Q can be determined by setting R_Qto a value given

by,

25kΩ

f_NOTCH

/ A_HP• R_Z2/ R_Z1• f

(

)

R_Q=

Q –1

High-pass

Out

Band-pass

Out

Low-pass

Out

R₁

50kΩ

C₂

R₂

1000pF

50kΩ

In₁

R₃

R₄

50kΩ

In₃

UAF42

In₂

FIGURE 1. UAF42 Universal Active Filter with High-pass, Band-pass and Low-pass Outputs.

AB-071

Printed in U.S.A. January, 1994

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