Mathematical Draft
The BER is the likelihood of a bit misinterpretation due to electrical noise . Considering a bipolar NRZ transmission, we have
for a "1" and for a "0". Each of and has a period of .
Knowing that the noise has a bilateral spectral density ,
is
and is .
Returning to BER, we have the likelihood of a bit misinterpretation .
and
where is the threshold of decision, set to 0 when .
We can use the average energy of the signal to find the final expression :
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Read more about this topic: Bit Error Rate
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