@article{cbcc7a5406c44ca5895386a8ecf04cb6,
title = "Precise Performance Characterization of Precoded Integer Forcing Applied to Two Parallel Channels",
abstract = "Precoded integer-forcing equalization is a low-complexity transmission and reception scheme, primarily designed for open-loop communication. The data is encoded into independent streams, all using the same linear code, after which linear precoding is applied, while integer-forcing equalization is applied at the receiver side. Previous works have established that this architecture achieves channel capacity up to a finite gap for general multiple-input multiple-output Gaussian channels, as well as obtained tighter bounds for the special case of diagonal (parallel) channels. The present work provides a precise performance characterization when integer-forcing equalization is applied to two parallel channels and where precoding is done using the full-diversity rotation matrix cyclo2. It is shown that this scheme achieves capacity up to a gap bounded by log2(9/5) bits per complex channel use when the standard integer-forcing receiver is used, and the gap is reduced to log2(5/4) bits per complex channel use when its successive decoding variant is applied. In addition, a full characterization of the basis transformation matrices used by the integer-forcing receiver is derived. These turn out to consist only of Fibonacci numbers and are explicitly determined as a function of the condition number. The results obtained are also highly relevant to lattice-reduction detection schemes.",
keywords = "Equalization, MIMO, integer-forcing, lattice reduction, unitary precoding",
author = "Yarden Regev and Uri Erez",
note = "Publisher Copyright: IEEE",
year = "2021",
month = dec,
day = "1",
doi = "10.1109/TWC.2021.3088758",
language = "אנגלית",
volume = "20",
pages = "7920--7931",
journal = "IEEE Transactions on Wireless Communications",
issn = "1536-1276",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "12",
}