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Precise Performance Characterization of Precoded Integer Forcing Applied to Two Parallel Channels
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DOI：10.1109/TWC.2021.3088758.png)
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Abstract
En 中文
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 cyclo(2). It is shown that this scheme achieves capacity up to a gap bounded by log(2)(9/5) bits per complex channel use when the standard integer-forcing receiver is used, and the gap is reduced to log(2)(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
lattice reduction
integerforcing
unitary precoding
Journal
IF:
10.7
Papers:
1.3W
Citations:
5.3W