Radio Receivers
The frequency generated by each decade in a direct frequency synthesizer is much higher than the frequency shown; this is done to

Reduce the number of decades
Reduce the number of crystals required
Reduce the spurious frequency problem
Increase the frequency stability of the synthesizer

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

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

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Radio Receivers
If a FET is used as the first AF amplifier in a transistor receiver, this will have the effect of

Reducing the effect of negative-peak clipping
Improving the effectiveness of the AGC
Reducing the effect of noise at low modulation depths
Improving the selectivity of the receiver

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