Minimum mean square error vector precoding

David A. Schmidt, Michael Joham, Wolfgang Utschick

Research output: Contribution to journalArticlepeer-review

65 Scopus citations


We derive the minimum mean square error (MMSE) solution to vector precoding for frequency flat multiuser scenarios with a centralised multi-antenna transmitter. The receivers employ a modulo operation, giving the transmitter the additional degree of freedom to choose a perturbation vector. Similar to existing vector precoding techniques, the optimum perturbation vector is found with a closest point search in a lattice. The proposed MMSE vector precoder does not, however, search for the perturbation vector resulting in the lowest unsealed transmit power, as proposed in all previous contributions on vector precoding, but finds an optimum compromise between noise enhancement and residual interference. We present simulation results showing that the proposed technique outperforms existing vector precoders, as well as the MMSE Tomlinson-Harashima precoder, and compare the turbo-coded performance to the capacity of the broadcast channel.

Original languageEnglish
Pages (from-to)219-231
Number of pages13
JournalEuropean Transactions on Telecommunications
Issue number3
StatePublished - Apr 2008


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