On the relevancy of the perfect reconstruction property when minimizing the mean square error in FIR MIMO filter systems
Are Hjørungnes, Paulo S. R. Diniz · 2003
Under the assumption that the transmitter FIR multiple-input multiple-output (MIMO) filter is given and FIR left invertible, conditions are derived for when the minimum minimum mean square error (MSE) FIR MIMO filter system does possess the perfect reconstruction (PR) or zero forcing (ZF) property. In most cases, examples using common models for both source coding and communication systems show that constraining the system to have the PR or ZF property is suboptimal in the minimum MSE sense.