optic.comm.metrics.theoryMI

theoryMI(M, constType, SNR, pX=None, symmetry=True, lim=inf, tol=0.001)

Calculate mutual information for discrete input continuous output the memoryless AWGN channel (DCMC).

Parameters:

  • M (int) – Number of symbols in the constellation.

  • constType (str) – Type of constellation (‘qam’, ‘psk’).

  • SNR (float) – Signal-to-noise ratio in dB.

  • pX (array_like, optional) – Probability of each transmitted symbol (default is None).

  • symmetry (bool, optional) – Flag to exploit rotational symmetry of the constellation (default is True).

  • lim (int, optional) – Limit for numerical integration (default is np.inf).

  • tol (float, optional) – Tolerance for numerical integration error (default is 1e-3).

Returns:

Mutual information for the given parameters.

Return type:

float

References

[1] A. Alvarado, T. Fehenberger, B. Chen, e F. M. J. Willems, “Achievable Information Rates for Fiber Optics: Applications and Computations”, Journal of Lightwave Technology, vol. 36, nº 2, p. 424–439, jan. 2018, doi: 10.1109/JLT.2017.2786351.