The process of returning a fraction of the output energy of an energy-converting device to the input. The circuit that transmits the feedback signal to the input is the beta circuit; the circuit containing the active device, which generates the output signal, is the mu circuit.
In the case of an active device, such as a transistor, that introduces a gain A in the absence of feedback, voltage feedback is employed if a fraction β of the output voltage is returned to the input (Fig. a). The effective output voltage is given by
The overall gain of the combination is then
If β is negative the feedback voltage opposes the input voltage and the process is termed negative feedback. The overall gain of the device is reduced but there is a corresponding reduction in the amount of noise and distortion in the output. If the term (–βA) is made large compared with unity the overall gain reduces to 1/β and is independent of the elements in the mu circuit. An amplifier operated in this manner is very stable and is independent of minor variations in the operating conditions.
If β is positive the feedback voltage reinforces the input voltage and the process is termed positive feedback. The overall gain of the device is increased and if the factor (–βA) becomes equal to or greater than unity the output voltage becomes independent of any input signal and oscillations occur. The point at which the term (–βA) just becomes unity for any given circuit is termed the singing point. The overall combination can then be considered to have an effective negative resistance (see also oscillator).
Current feedback is a form of feedback in which a fraction of the current output to the load is fed back to the input (Fig. b). The effective output current is given by
and the overall gain is given by
An analysis similar to that of voltage feedback can then be applied.
In a multistage amplifier, feedback may be applied to each individual amplifier stage (local feedback) or across the composite device (multistage feedback). The phase of the feedback at the input is maintained in the correct relationship to the input by introducing a reactance in the feedback circuit. Capacitive feedback uses one or more capacitors and inductive feedback uses a self-inductance or a mutual inductance.
Feedback is also used in control systems when a fraction of the controlled parameter is fed back in order to produce any necessary correcting signals (see feedback control loop).