LLL Reduction Achieves the Receive Diversity in MIMO Decoding

Abstract

Diversity order is an important measure for the performance of communication systems over MIMO fading channels. In this paper, 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.

Submitted to IEEE Trans. on Info. Theory (Jan. 15, 2006), Revised (Mar. 5, 2007)

References in corpus (1)

• Communication Over MIMO Broadcast Channels Using Lattice-Basis Reduction

Cited by in corpus (27)

• Fifty Years of MIMO Detection: The Road to Large-Scale MIMOs
• Low-Complexity Design of Generalized Block Diagonalization Precoding Algorithms for Multiuser MIMO Systems
• On the Proximity Factors of Lattice Reduction-Aided Decoding
• DMT Optimality of LR-Aided Linear Decoders for a General Class of Channels, Lattice Designs, and System Models
• Decoding by Sampling: A Randomized Lattice Algorithm for Bounded Distance Decoding
• The Equivalence of Semidefinite Relaxation MIMO Detectors for Higher-Order QAM
• Achieving a vanishing SNR-gap to exact lattice decoding at a subexponential complexity
• On Complex LLL Algorithm for Integer Forcing Linear Receivers
• On Low-complexity Lattice Reduction Algorithms for Large-scale MIMO Detection: the Blessing of Sequential Reduction
• Applications of Tauberian Theorem for High-SNR Analysis of Performance over Fading Channels
• Variants of the LLL Algorithm in Digital Communications: Complexity Analysis and Fixed-Complexity Implementation
• Sphere Decoding Revisited
• Algorithms and Bounds for Complex and Quaternionic Lattices With Application to MIMO Transmission
• Algebraic reduction for space-time codes based on quaternion algebras
• LR-aided MMSE lattice decoding is DMT optimal for all approximately universal codes
• Finite Lattice-Size Effects in MIMO Detection
• Closed-Form Word Error Rate Analysis for Successive Interference Cancellation Decoders
• Deterministic Sampling Decoding: Where Sphere Decoding Meets Lattice Gaussian Distribution
• Integer-Forcing MIMO Linear Receivers Based on Lattice Reduction
• Notes on Lattice-Reduction-Aided MMSE Equalization
• Multi-User Flexible Coordinated Beamforming using Lattice Reduction for Massive MIMO Systems
• Coordinate Tomlinson-Harashima Precoding Design for Overloaded Multi-user MIMO Systems
• Systolic Arrays for Lattice-Reduction-Aided MIMO Detection
• Channel State Feedback over the MIMO-MAC
• Effects of Some Lattice Reductions on the Success Probability of the Zero-Forcing Decoder
• Modulus Zero-Forcing Detection for MIMO Channels
• Markov chain Monte Carlo Methods For Lattice Gaussian Sampling: Lattice Reduction and Decoding Optimization