optic.comm.metrics.theoryBER

theoryBER(M, EbN0, constType)

Theoretical (approx.) bit error probability for PAM/QAM/PSK in AWGN channel.

Parameters:

• M (int) – Modulation order.

• EbN0 (scalar) – Signal-to-noise ratio (SNR) per bit in dB.

• constType (string) – Modulation type: ‘pam’, ‘qam’ or ‘psk’

Returns:

Pb – Theoretical probability of bit error.

Return type:

scalar

Notes

The values of error probability obtained with this function are good approximations for moderate to high SNR regime (see [1]). All cases assume Gray mapped constellations. For low SNR values and high constellation cardinalities (\(P_b\)>1e-1), the results should underestimate the real error probability.

References

[1] Proakis, J. G., & Salehi, M. Digital Communications (5th Edition). McGraw-Hill Education, 2008.