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.
If the intrinsic noise of the network is not cor- related to the process that drives the signal, the power spectrum of the network output obeys the spectral ad- dition rule [36]
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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.