Bit Error Rate (BER)
Estimate coherent BPSK or QPSK bit error rate in additive white Gaussian noise from Eb/N0. This is a baseline digital-link result before coding, fading, interference, or implementation losses.
Bit error rate
3.872e-6
Coherent AWGN detection
Symbol error rate
3.872e-6
1 bits per symbol
Eb/N0 linear
10.000
Power ratio
Modulation
BPSK
1 bits per symbol
Expected spacing
1 / 258,257
bits per expected error
Error probability falls quickly as Eb/N0 rises
The curve shows how bit errors collapse as energy per bit rises; the constellation sketch shows the noise spread that must stay away from the decision boundary.
Bit error probability vs Eb/N0
log scale, lower is better
10.00 dB
3.87e-6
Decision space
1 bits per symbol
shrinks as Eb/N0 rises
noise crosses a decision boundary
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