2 problems

Let $D(R,\beta)$ denote the asymptotic MMSE at measurement rate $R$ and inverse noise variance (SNR) parameter $\beta$, and let $m_a$ be the a-priori magnetization. In the low-nois…

Let $X$ and $Z$ be zero-mean random variables, and for $\rho\in[0,\infty)$ let ${\mathsf{mmse}}(X,\rho)$ denote the minimum mean-square error in estimating $X$ from a Gaussian-nois…