What is the Difference between noise margin and signal to noise ratio?

Answer:
SNR = Signal Power / Noise Power, which is an indication of how well a receiver can distinquish a signal from random noise (non signal).

The Noise margin is the measure in Db of how much better the SNR is than the SNR required for proper operation of a receiver. To a user this may be more valuable information, since the user may not know what an acceptable SNR is for his equipment.
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