Minimum Mean Square Error Detector

A linear detection approach that chooses a linear filter (matrix) mapping the received vector to symbol estimates by minimizing the mean squared error between transmitted symbols and estimates under an additive‑noise model; in the standard linear model the solution is the regularized inverse (Ĥ^H Ĥ + σ^2 I)^{-1} Ĥ^H r and it balances interference suppression against noise amplification.