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 :
±§
Read more about this topic: Bit Error Rate
Famous quotes containing the words mathematical and/or draft:
“It is by a mathematical point only that we are wise, as the sailor or the fugitive slave keeps the polestar in his eye; but that is sufficient guidance for all our life. We may not arrive at our port within a calculable period, but we would preserve the true course.”
—Henry David Thoreau (1817–1862)
“Why not draft executive and management brains to prepare and produce the equipment the $21-a-month draftee must use and forget this dollar-a-year tommyrot? Would we send an army into the field under a dollar-a-year General who had to be home Mondays, Wednesdays and Fridays?”
—Lyndon Baines Johnson (1908–1973)