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because it allows to filter much more noise on the site of the receiver

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All electromagnetic waveforms that are broadcast into space can pick up noise on their amplitude through algebraic summing at your antenna. For AM format, when the signal is received on your radio, the carrier is demodulated back into its original intelligence by monitoring the amplitude of the carrier. Since noise effects the amplitude of incoming signals; the noise is demodulated, coupled through the audio amplifier stages, and sent to the output stage along with the intended signal.

In FM, the intelligence is impressed on the carrier by shifting its frequency proportional to amplitude of the input modulation intelligence. This makes your FM receiver immune to amplitude summed noise on the antenna. This does not include close proximity lightning, as you will hear some static in step with the strike. This is because the plasma channel of the strike is broadcasting across the entire EM spectrum; from DC past light. If you're close enough to the plasma channel, the power propagated in the EM wave can stimulate input stages past the demodulator.

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