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For multi-input multi-output (MIMO) interference channels, we study the precoder design for interference alignment (IA) that enables the use of low complexity detectors for joint detection. It is shown that the IA over lattices (IA-L) becomes possible for two receivers (where joint detection can be performed by a low complexity detector), while one receiver has the interfering signals over a certain...
In this paper, we present a unified view of the role of sorting in lattice reduction. In particular, we show that V-BLAST sorting is a relative of the LLL algorithm. More precisely, we discover that if a lattice basis is sorted in the sense closely related to V-BLAST and is size-reduced, then it is reduced in the sense of LLL with deep insertion (LLL-deep). This discovery leads to two useful consequences...
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