Fig. 10
From: On the achievable rate of bandlimited continuous-time AWGN channels with 1-bit output quantization
Properties of the original distribution \(p_{\mathsf {S}}(s)\) (50) and the Gaussian approximation \(p_{\mathsf {S},\text {Gauss}}(s)\) (51). a Normalized variances \(\sigma ^2_{\mathsf {S},\text {orig}}\) of \(p_{\mathsf {S}}(s)\) and \(\sigma ^2_{\mathsf {S}}\) of \(p_{\mathsf {S},\text {Gauss}}(s)\) and b \(\Pr (|\mathsf {S}_k|<{\beta }/{2}) = \int_{-{\beta }/{2}}^{{\beta }/{2}} p_{\mathsf {S}}(s)\hbox {d}s\) for \(p_{\mathsf {S}}(s)\) and \(p_{\mathsf {S},\text {Gauss}}(s)\)