Digital CommunicationHardQuestion 20322
Question
The bit error rate (BER) of BPSK in AWGN is given by Q(√(2Eb/N0)). If Eb/N0 = 9 dB (≈ 7.94), BER is approximately:
- A10⁻²
- B10⁻³
- C10⁻⁴
- D10⁻⁵Correct
Correct answer
10⁻⁵
Explanation
At Eb/N0 = 9 dB: Q(√(2×7.94)) = Q(√15.88) = Q(3.985) ≈ Q(4) ≈ 3.17×10⁻⁵ ≈ 10⁻⁵. This is a standard design target for voice (10⁻³) is acceptable; data (10⁻⁶) needed before FEC. After turbo/LDPC coding, 10⁻⁵ uncoded BER becomes effectively zero.