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.
(A5) We define the activation level a(s) to be a Hill function, a(s) = s(t)n K n + s(t)n
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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.