®
VCA610
10
STABILIZED WEIN-BRIDGE OSCILLATOR
Adding Wein-bridge feedback to the above AGC amplifier
produces an amplitude-stabilized oscillator. Shown in
Figure 8, this alternative requires the addition of just two
resistors (R
W1
, RW2) and two capacitors (CW1, CW2).
Connecting the feedback network to the amplifier’s
noninverting input introduces positive feedback to induce
oscillation. The feedback factor displays a frequency dependence due to the changing impedances of the C
W
capacitors.
As frequency increases, the decreasing impedance of the
CW2 increases the feedback factor. Simultaneously, the decreasing impedance of the C
W1
decreases this factor.
Analysis shows that the maximum factor occurs at f =
1/2πR
WCW
, making this the frequency most conducive to
oscillation. At this frequency the impedance magnitude of
CW equals RW and inspection of the circuit shows that this
condition produces a feedback factor of 1/3. Thus, selfsustaining oscillation requires a gain of three through the
amplifier. The AGC circuitry establishes this gain level.
Following initial circuit turn on, R1 begins charging C
H
negative, increasing the amplifier gain from its minimum.
When this gain reaches three, oscillation begins at f =
1/2πRWCW and R1’s continued charging effect makes the
oscillation amplitude grow. This growth continues until that
amplitude reaches a peak value equal to VR. Then, the AGC
circuit counteracts the R
1
effect, controlling the peak ampli-
tude at V
R
by holding the amplifier gain at a level of three.
Making V
R
an AC signal, rather than a DC reference,
produces amplitude modulation of the oscillator output.
LOW-DRIFT WIDEBAND LOG AMP
The VCA610 can be used to provide a 250kHz (–3dB) log
amp with low offset voltage and low gain drift.
The exponential gain control characteristic of the VCA610
permits simple generation of a temperature-compensated
logarithmic response. Enclosing the exponential function in
an op amp feedback path inverts this function, producing the
log response. Figure 9 shows the practical implementation
of this technique. A DC reference voltage, V
R
, sets the
VCA610 inverting input voltage. This makes the amplifier’s
output voltage VOA = – GVR where G = 10
-2 (Vc + 1)
.
A second input voltage also influences V
OA
through control
of gain G. The feedback op amp forces V
OA
to equal the
input voltage V
IN
connected at the op amp inverting input.
Any difference between these two signals drops across R
3
,
producing a feedback current that charges C
C
. The resulting
change in V
OL
adjusts the gain of the VCA610 to change
V
OA
. At equilibrium, VOA = VIN = –VR10
-2 (Vc +1)
. The op
amp forces this equality by supplying the gain control
voltage VC = R1 V
OL
/(R1 + R2). Combining the last two
expressions and solving for V
OL
yields the circuit’s logarith-
mic response.
V
OL
= – (1 + R2/R1) [1 + 0.5LOG (–V
IN /VR
)]
Examination of this result illustrates several circuit characteristics. First, the argument of the Log term, –V
IN/VR
,
reveals an option and a constraint. In Figure 9, V
R
represents
a DC reference voltage. Optionally, making this voltage a
second signal produces log-ratio operation. Either way, the
Log term’s argument constrains the polarities of V
R
and VIN.
These two voltages must be of opposite polarities to ensure
a positive argument. This polarity combination results when
V
R
connects to the inverting input of the VCA610. Alter-
nately, switching V
R
to this amplifier’s noninverting input
removes the minus sign of the log term’s argument. Then,
both voltages must be of the same polarity to produce a
positive argument. In either case, the positive polarity requirement of the argument restricts VIN to a unipolar range.
The above V
OL
expression reflects a circuit gain introduced
by the presence of R
1
and R2. This feature adds a convenient
scaling control to the circuit. However, a practical matter
sets a minimum level for this gain. The voltage divider
formed by R
1
and R2 attenuates the voltage supplied to the
V
C
terminal by the op amp. This attenuation must be great
enough to prevent any possibility of an overload voltage at
the VC terminal. Such an overload saturates the VCA610’s
gain control circuitry, reducing the amplifier’s gain. For the
feedback connection of Figure 9, this overload condition
permits a circuit latch. To prevent this, choose R
1
and R2 to
ensure that the op amp can not possibly deliver more than
2.5V to the VC terminal.
FIGURE 9. Driving the Gain Control Pin of the VCA610 with
a Feedback Amplifier Produces a TemperatureCompensated Log Response.
R
1
470Ω
VCA610
R
2
330Ω
V
OL
V
R
–10mV
OPA620
V
IN
VOA = –G V
R
C
C
50pF
R
3
100Ω
VOL = – 1 +
1 + 0.5 Log (–VIN/VR)
R
1
R
2
( )
V
C
LOW-DRIFT WIDEBAND EXPONENTIAL AMP
A common use of the Log amp above involves signal
companding. The inverse function, signal expanding, requires an exponential transfer function. The VCA610 produces this latter response directly as shown in Figure 10. DC
reference V
R
again sets the amplifier’s input voltage and the
input signal V
IN
now drives the gain control point. Resistors
R
1
and R2 attenuate this drive to prevent overloading the
gain control input. Setting these resistors at the same values
as in the preceding Log amp produces an exponential amplifier with the inverse function of the Log amp.