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:
“What is history? Its beginning is that of the centuries of systematic work devoted to the solution of the enigma of death, so that death itself may eventually be overcome. That is why people write symphonies, and why they discover mathematical infinity and electromagnetic waves.”
—Boris Pasternak (1890–1960)
“If violence is wrong in America, violence is wrong abroad. If it is wrong to be violent defending black women and black children and black babies and black men, then it is wrong for America to draft us, and make us violent abroad in defense of her. And if it is right for America to draft us, and teach us how to be violent in defense of her, then it is right for you and me to do whatever is necessary to defend our own people right here in this country.”
—Malcolm X (1925–1965)