Constellation constrained channel capacity with additive white Gaussian noise
Consider the following channel model,
Y = sqrt(snr)X + N,
where X is the (discrete) channel input such as E[X^2]<1, N is the noise with density function N(0,1) and snr the signal-to-noise ratio (linear scale). The function computes the capacity associated to any constellation in one or two dimension(s) with a given probability density function for the channel inputs. It enables to evaluate the capacity of any possible input distributions, especially classical modulation schemes (QAM, PSK, etc) with uniform inputs.
I rely on the quad2d function but it is also possible to use Monte Carlo methods to evaluate the integral that appears in the mutual information computation.
Cite As
Hugo (2024). Constellation constrained channel capacity with additive white Gaussian noise (https://www.mathworks.com/matlabcentral/fileexchange/50531-constellation-constrained-channel-capacity-with-additive-white-gaussian-noise), MATLAB Central File Exchange. Retrieved .
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