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AGC circuit uses an analog multiplier

This automatic gain control works over the audio-frequency range.

Steve Lubs, Department of Defense, Washington, DC -- EDN, November 3, 2011

Design Ideas Classics

  Originally published in the September 4, 1986, issue of
EDN


In the AGC circuit of Fig 1, a 4-quadrant analog multiplier (IC1), an amplifier stage (IC2), an active, full-wave rectifier (D1, D2, R4-R7, and IC3), and an integrator (IC4) accomplish automatic gain control of VIN’s amplitude variations in the audio-frequency range.

AGC circuit uses an analog multiplier figure 1

The multiplier’s output is −VINVY/10, where VY is a negative voltage generated by the integrator IC4. Together, the integrator and the rectifier extract the dc component (VY) of VOUT for use as a feedback signal to the multiplier. The integrator sums signal current from the rectifier and control current from potentiometer R9, which lets you adjust VOUT’s signal level.
Design Ideas Classics book
Circuit analysis yields the frequency-response equation

AGC circuit uses an analog multiplier equation 1

or, in the time domain,

AGC circuit uses an analog multiplier equation 2

In both equations, K1 is the gain of amplifier IC2, A is the peak amplitude of VIN, and R is the resistance between the integrator input and the rectifier output. (For this circuit, R equals R6 in parallel with R7.)

Read more design ideasThis AGC circuit is suitable for controlling the long-term variations of amplitude within a limited range. It doesn’t respond uniformly over a wide dynamic range, however, because the time response is inversely proportional to input-signal amplitude.
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