An attempt at doing low SNR analysis of MSE which is UB of Probability of error via the Verdu-Estimation-marries-Info theory route.

Result: MSE in terms of the graph spectra. Or rather spectra of the covariance matrix!

Trick: Approximate the GMRF via a common Gaussian.

Result: MSE in terms of the graph spectra. Or rather spectra of the covariance matrix!

Trick: Approximate the GMRF via a common Gaussian.