Integer-Forcing MIMO Linear Receivers Based on Lattice Reduction

• Published in: IEEE transactions on wireless communications Vol. 12; no. 10; pp. 4905 - 4915
• Main Authors: Sakzad, Amin, Harshan, J., Viterbo, Emanuele
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.10.2013; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Applied sciences; Codes; Coding, codes; complex Lenstra-Lenstra-Lovasz lattice reduction; Complexity theory; Decoding; Detectors; Exact sciences and technology; Hermite-Korkine-Zolotareff reduction; Information, signal and communications theory; integer-forcing; lattice reduction; Lattices; linear receivers; Mean square errors; MIMO; Minkowski reduction; Receivers; Signal and communications theory; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Vectors; Fading channels; Performance evaluation; MIMO system; Lower bound; Block code; linear receivers; Bit error rate; Hermite interpolation; complex Lenstra-Lenstra-Lovasz lattice reduction; Measurement sensor; Ergodicity; lattice reduction; Decoding; Algorithm; Block error rate; Minkowski reduction; Mean square error; Linear combination; Simulation; Diversity reception; Intermediate frequency; MIMO; Hermite-Korkine-Zolotareff reduction; integer-forcing
• ISSN: 1536-1276; 1558-2248
• DOI: 10.1109/TWC.2013.090513.121465

A new architecture called integer-forcing (IF) linear receiver has been recently proposed for multiple-input multiple-output (MIMO) fading channels, wherein an appropriate integer linear combination of the received symbols has to be computed as a part of the decoding process. In this paper, we propose a method based on Hermite-Korkine-Zolotareff (HKZ) and Minkowski lattice basis reduction algorithms to obtain the integer coefficients for the IF receiver. We show that the proposed method provides a lower bound on the ergodic rate, and achieves the full receive diversity. Suitability of complex Lenstra-Lenstra-Lovasz (LLL) lattice reduction algorithm (CLLL) to solve the problem is also investigated. Furthermore, we establish the connection between the proposed IF linear receivers and lattice reduction-aided MIMO detectors (with equivalent complexity), and point out the advantages of the former class of receivers over the latter. For the 2 × 2 and 4× 4 MIMO channels, we compare the coded-block error rate and bit error rate of the proposed approach with that of other linear receivers. Simulation results show that the proposed approach outperforms the zero-forcing (ZF) receiver, minimum mean square error (MMSE) receiver, and the lattice reduction-aided MIMO detectors.