LLL Reduction Achieves the Receive Diversity in MIMO Decoding
- 17 December 2007
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 53 (12) , 4801-4805
- https://doi.org/10.1109/tit.2007.909169
Abstract
Diversity order is an important measure for the performance of communication systems over multiple-input-multiple-output (MIMO) fading channels. In this correspondence, we prove that in MIMO multiple- access systems (or MIMO point-to-point systems with V-BLAST transmission), lattice-reduction-aided decoding achieves the maximum receive diversity (which is equal to the number of receive antennas). Also, we prove that the naive lattice decoding (which discards the out-of-region decoded points) achieves the maximum diversity.Keywords
All Related Versions
This publication has 10 references indexed in Scilit:
- Communication Over MIMO Broadcast Channels Using Lattice-Basis ReductionIEEE Transactions on Information Theory, 2007
- Approximate Lattice Decoding: Primal Versus Dual Basis ReductionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2006
- Lattice Coding and Decoding Achieve the Optimal Diversity–Multiplexing Tradeoff of MIMO ChannelsIEEE Transactions on Information Theory, 2004
- Low-complexity near-maximum-likelihood detection and precoding for MIMO systems using lattice reductionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2004
- Universal lattice decoding: principle and recent advancesWireless Communications and Mobile Computing, 2003
- Layered space-time architecture for wireless communication in a fading environment when using multi-element antennasBell Labs Technical Journal, 2002
- Lattice code decoder for space-time codesIEEE Communications Letters, 2000
- Space-time codes for high data rate wireless communication: performance criterion and code constructionIEEE Transactions on Information Theory, 1998
- A generalization of the LLL-algorithm over euclidean rings or ordersJournal de Théorie des Nombres de Bordeaux, 1996
- Factoring polynomials with rational coefficientsMathematische Annalen, 1982