Title :
Communication Over MIMO Broadcast Channels Using Lattice-Basis Reduction
Author :
Taherzadeh, Mahmoud ; Mobasher, Amin ; Khandani, Amir K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Waterloo, Waterloo, ON
Abstract :
A new viewpoint for adopting the lattice reduction in communication over multiple-input multiple-output (MIMO) broadcast channels is introduced. Lattice basis reduction helps us to reduce the average transmitted energy by modifying the region which includes the constellation points. The new viewpoint helps us to generalize the idea of lattice-reduction-aided (LRA) preceding for the case of unequal-rate transmission, and obtain analytic results for the asymptotic behavior (signal-to-noise ratio (SNR) rarr infin) of the symbol error rate for the LRA precoding and the perturbation technique. Also, the outage probability for both cases of fixed-rate users and fixed sum rate is analyzed. It is shown that the LRA method, using the Lenstra-Lenstra-Lovasz (LLL) algorithm, achieves the optimum asymptotic slope of symbol error rate (called the precoding diversity).
Keywords :
MIMO communication; broadcast channels; channel coding; precoding; Lenstra-Lenstra-Lovasz; MIMO broadcast channels; lattice-basis reduction; lattice-reduction-aided; multiple-input multiple-output; optimum asymptotic slope; outage probability; precoding; signal-to-noise ratio; symbol error rate; unequal-rate transmission; Broadcasting; Error analysis; Fading; Information theory; Lattices; MIMO; Matrix decomposition; Perturbation methods; Receiving antennas; Transmitters; Lattice precoding; Lenstra–Lenstra–LovÁsz (LLL) lattice-basis reduction; MIMO fading channel; multiple-input multiple-output (MIMO) broadcast channel;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.909095