Radio Receivers
In a broadcast superheterodyne receiver, the

Local oscillator frequency is normally double the IF
Local oscillator operates below the signal frequency
Mixer input must be tuned to the signal frequency
RF amplifier normally works at 455 kHz above the carrier frequency

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Radio Receivers
The local oscillator of a broadcast receiver is tuned to a frequency higher than the incoming frequency

To permit easier tracking
To allow adequate frequency coverage without switching
To help the image frequency rejection
Because otherwise an intermediate frequency could not be produced

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