Fig. 4
From: On the achievable rate of bandlimited continuous-time AWGN channels with 1-bit output quantization
Numerically obtained distribution of \(\tilde{\mathsf {x}}(t_k)\) for a \(t_k = t_{k,\text {TI}}\) and b \(t_k = t_{k,\text {HP}}\) (solid lines) and bounds on the distribution (dashed and dashdotted lines) for different \(\kappa\). For lower-bounding the mutual information rate, a Gaussian distribution with the obtained upper bound on the variance of \(\tilde{\mathsf {x}}(t_k)\) is suitable for κ ≲ 3