Even in almost-Gaussian discrete signaling systems, the Gaussian approximation underestimates the true information rate, and for nonlinear continuous systems its accuracy depends on how it is applied.
The independent Gaussian white noise process ηs(t) sum- marizes all reactions that contribute to fluctuations in S
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Mutual Information Rate -- Linear Noise Approximation and Exact Computation
Even in almost-Gaussian discrete signaling systems, the Gaussian approximation underestimates the true information rate, and for nonlinear continuous systems its accuracy depends on how it is applied.