Universal MAP estimator MSE conjecture
Let x∈RNx\in\mathbb{R}^Nx∈RN be the signal, y=Φx+zy=\Phi x+zy=Φx+z the measurement vector, and xMAPUx^U_{MAP}xMAPU the universal MAP estimator. Assume that Φ∈RM×N\Phi\in\mathbb{R}^{M\times N}Φ∈RM×N is an i.i.d. Gau…