Precoded Integer-Forcing Universally Achieves the MIMO Capacity to Within a Constant Gap

TL;DR

This paper demonstrates that a specific precoded integer-forcing scheme can universally achieve the capacity of any MIMO channel within a constant gap, regardless of channel conditions.

Contribution

The authors introduce a precoded integer-forcing approach that guarantees near-capacity performance for MIMO channels with a universal constant gap.

Findings

Achieves MIMO capacity within a constant gap

Applicable to any Gaussian MIMO channel

Uses linear precoding with perfect space-time codes

Abstract

An open-loop single-user multiple-input multiple-output communication scheme is considered where a transmitter, equipped with multiple antennas, encodes the data into independent streams all taken from the same linear code. The coded streams are then linearly precoded using the encoding matrix of a perfect linear dispersion space-time code. At the receiver side, integer-forcing equalization is applied, followed by standard single-stream decoding. It is shown that this communication architecture achieves the capacity of any Gaussian multiple-input multiple-output channel up to a gap that depends only on the number of transmit antennas.