An algebraic look into MAC-DMT of lattice space-time codes

Details An algebraic look into MAC-DMT of lattice space-time codes An algebraic look into MAC-DMT of lattice space-time codes

2011-05-11

arxiv.org/abs/1105.2114v2

Computer Science

Information Theory

Will appear in ISIT 2011. Missing proof and some clarification added on 18th of May

Scientific paper

In this paper we are concentrating on the diversity-multiplexing gain trade-off (DMT) of some space-time lattice codes. First we give a DMT bound for lattice codes having restricted dimension. We then recover the well known results of the DMT of algebraic number field codes and the Alamouti code by using the union bound and see that these codes do achieve the previously mentioned bound. During our analysis interesting connections to the Dedekind's zeta-function and to the unit group of algebraic number fields are revealed. Finally we prove that both the number field codes and Alamouti code are in some sense optimal codes in the multiple access channel (MAC).

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