Operational Definition
Voltage output from this circuit remains proportional to the time rate of change of the input signal. An analog differentiator performs the mathematical operation of differentiation through the use of an operational amplifier coupled with a series capacitor and a feedback resistor. The gain of the circuit increases linearly with frequency, which causes the output signal to amplify high frequency noise alongside the desired signal content.
Designers mitigate this instability by adding a small resistor in series with the input capacitor to create a dominant pole at high frequencies. This correction forces the circuit to behave as a low pass filter above a set frequency threshold. Calibration of the device requires precise verification of the time constant formed by the resistance and capacitance values.
Signal Precision
Thermal drift in the feedback components directly alters the slope of the conversion curve. Variations in the dielectric constant of the input capacitor introduce phase shifts that depart from ideal mathematical performance.
Component Calibration
Laboratory standards require the use of low leakage capacitors to maintain signal integrity during slow voltage transitions. Verification of the slope involves applying a linear ramp input and measuring the resulting constant voltage offset at the output terminal.
Circuit Limitation
Internal bandwidth constraints of the operational amplifier restrict the maximum rate of change the circuit can process accurately. Output saturation occurs when input slopes exceed the slew rate capability of the semiconductor device.