 ##  [Minimum Mean Square Error Detector](/index.php/minimum-mean-square-error-detector) 

  ##  [Minimum Mean Square Error Detector](https://information.quantumdictionary.io/minimum-mean-square-error-detector-0) 

  
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**Information &amp; Communication Dictionary**

 
Definition

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.