Statistical comparison between max-dmin, max-SNR and MMSE precoders

Baptiste Vrigneau (1) , Jonathan Letessier (1) , Phillipe Rostaing (2) , Ludovic Collin (2) , Gilles Burel (2)

1 Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (UMR 3192)
2 Lab-STICC_UBO_CACS_COM

In this study, we considered a MIMO system with available channel state information at the transmitter side and compared three known precoders based on different and pertinent criteria: the post processing signal-to-noise ratio (max-SNR), the mean square error between transmitted and received symbols (MMSE) and the minimum distance of the received constellation (max-dmin). We demonstrate that, alike the max-SNR and contrarily to the MMSE, the max-dmin gives the maximum diversity order for a Rayleigh channel. An upper- bound of the MMSE diversity order is given. On the other hand, dmin of the three precoders will be statistically studied as a function of the number of antennas. In addition, BER simulations showed that the best precoder is the max-dmin.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Baptiste Vrigneau, Jonathan Letessier, Phillipe Rostaing, Ludovic Collin, Gilles Burel. Statistical comparison between max-dmin, max-SNR and MMSE precoders. Fortieth Asilomar Conference on Signals, Systems and Computers, Oct 2006, United States. pp.1611 - 1614. ⟨hal-00476798⟩