How to derive Q-factor from BER?

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Alina Lekerova
Alina Lekerova on 13 May 2020
Commented: Niki Erlando on 29 Jun 2023
I have BER = 0.5 * Erfc(Q / sqrt(2))
How can I derive Q from this formula? I tried solve command, but get {Empty sym: 0-by-1} error?

Answers (1)

Priyanshu Mishra
Priyanshu Mishra on 19 May 2020
Hi Alina,
Since I do not have your code, I have written a small code. You may refer to it:
ber = 2*10^-4
syms ber Q
eqn = 0.5*erfc(Q/sqrt(2))
Q = vpasolve(eqn,Q)
For more information, visit documentation of vpasolve.
  1 Comment
Niki Erlando
Niki Erlando on 29 Jun 2023
Hi Priyanshu,
I tried to follow your simple code, but somehow i kept getting the same answer eventhough i use a different value of BER ..
the answer is 2.254e+11184
Please help me

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