Local oscillators are used in the
superheterodyne receiver, the most common type of
radio receiver circuit. In this application, the frequency of the local oscillator (LO) is chosen to be similar to the radio frequency (RF) received on the antenna, such that the difference between them is much smaller than the RF. Either high-side injection (where the LO frequency is greater than the RF) or low-side injection (where the LO frequency is less than the RF) may be employed. The difference can then be filtered from the sum to extract the intermediate frequency (IF). • For high-side injection, f_\mathrm{IF} = f_\mathrm{LO} - f_\mathrm{RF}. • For low-side injection, f_\mathrm{IF} = f_\mathrm{RF} - f_\mathrm{LO}. So the frequency chosen for the local oscillator should be f_\mathrm{LO} = f_\mathrm{RF} \pm f_\mathrm{IF}. They are also used in many other communications circuits such as
modems,
cable television set top boxes,
frequency division multiplexing systems used in telephone
trunklines,
microwave relay systems,
telemetry systems,
atomic clocks,
radio telescopes, and military
electronic countermeasure (antijamming) systems. In
satellite television reception, the
microwave frequencies used from the satellite down to the receiving antenna are converted to lower frequencies by a local oscillator and mixer mounted at the antenna. This allows the received signals to be sent over a length of cable that would otherwise have unacceptable signal loss at the original reception frequency. In this application, the local oscillator is of a fixed frequency and the down-converted signal frequency is variable. ==Performance requirements==