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Vector perturbation (VP) precoding is a promising technique for multiusercommunication systems operating in the downlink. In this work, we introduce ahybrid framework to improve the performance of lattice reduction (LR) aidedprecoding in VP. First, we perform a simple precoding using zero forcing (ZF)or successive interference cancellation (SIC) based on a reduced lattice basis.Since the signal space after LR-ZF or LR-SIC precoding can be shown to bebounded to a small range, then along with sufficient orthogonality of thelattice basis guaranteed by LR, they collectively pave the way for thesubsequent application of an approximate message passing (AMP) algorithm, whichfurther boosts the performance of any suboptimal precoder. Our work shows thatthe AMP algorithm can be beneficial for a lattice decoding problem whose datasymbols lie in integers $\mathbb{Z}$ and entries of the lattice basis may botbe i.i.d. Gaussian. Numerical results confirm the low-complexity AMP algorithmcan improve the symbol error rate (SER) performance of LR aided precodingsignificantly. Lastly, the hybrid scheme is also proved effective when solvingthe data detection problem of massive MIMO systems without using LR.

Hybrid Vector Perturbation Precoding: The Blessing of Approximate Message Passing