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In this article, the first general constructions of fast-decodable, more specifically (conditionally) $g$-group decodable, space-time block codes for the Nonorthogonal Amplify and Forward (NAF) Multiple-Input Multiple-Output (MIMO) relay…

Information Theory · Computer Science 2015-12-11 Amaro Barreal , Camilla Hollanti , Nadya Markin

Multiple-input double-output (MIDO) codes are important in the near-future wireless communications, where the portable end-user device is physically small and will typically contain at most two receive antennas. Especially tempting is the 4…

Information Theory · Computer Science 2016-11-15 Roope Vehkalahti , Camilla Hollanti , Frédérique Oggier

We propose a coding scheme that achieves the capacity of the compound MIMO channel with algebraic lattices. Our lattice construction exploits the multiplicative structure of number fields and their group of units to absorb ill-conditioned…

Information Theory · Computer Science 2017-01-11 Antonio Campello , Cong Ling , Jean-Claude Belfiore

A new design method for high rate, fully diverse ('spherical') space frequency codes for MIMO-OFDM systems is proposed, which works for arbitrary numbers of antennas and subcarriers. The construction exploits a differential geometric…

Information Theory · Computer Science 2016-11-17 Oliver Henkel

"Extended Clifford algebras" are introduced as a means to obtain low ML decoding complexity space-time block codes. Using left regular matrix representations of two specific classes of extended Clifford algebras, two systematic algebraic…

Information Theory · Computer Science 2016-11-17 G. Susinder Rajan , B. Sundar Rajan

In the near future, the $5^{th}$ generation (5G) wireless systems will be established. They will consist of an integration of different techniques, including distributed antenna systems and massive multiple-input multiple-output systems,…

Information Theory · Computer Science 2017-10-17 Amaro Barreal , Camilla Hollanti

Fast-decodable distributed space-time codes are constructed by adapting the iterative code construction introduced in [1] to the N -relay multiple-input multiple-output channel, leading to the first fast-decodable distributed space-time…

Information Theory · Computer Science 2015-04-21 Amaro Barreal , Camilla Hollanti , Nadya Markin

We consider compound multi-input multi-output (MIMO) wiretap channels where minimal channel state information at the transmitter (CSIT) is assumed. Code construction is given for the special case of isotropic mutual information, which…

Information Theory · Computer Science 2019-10-09 Antonio Campello , Cong Ling , Jean-Claude Belfiore

In this work, we extend the non-orthogonal amplify-and-forward (NAF) cooperative diversity scheme to the MIMO channel. A family of space-time block codes for a half-duplex MIMO NAF fading cooperative channel with N relays is constructed.…

Information Theory · Computer Science 2007-07-16 Sheng Yang , Jean-Claude Belfiore

This work addresses the question of achieving capacity with lattice codes in multi-antenna block fading channels when the number of fading blocks tends to infinity. In contrast to the standard approach in the literature which employs random…

Information Theory · Computer Science 2015-01-28 Laura Luzzi , Roope Vehkalahti

Multiple Input Double Output (MIDO) asymmetric space-time codes for 4 transmit antennas and 2 receive antennas can be employed in the downlink from base stations to portable devices. Previous MIDO code constructions with low Maximum…

Information Theory · Computer Science 2015-03-19 Laura Luzzi , Frédérique Oggier

We construct explicit rate-one, full-diversity, geometrically dense matrix lattices with large, non-vanishing determinants (NVD) for four transmit antenna multiple-input single-output (MISO) space-time (ST) applications. The constructions…

Information Theory · Computer Science 2016-11-17 Camilla Hollanti , Jyrki Lahtonen , Hsiao-feng Francis Lu

Lattice codes are elegant and powerful structures that not only can achieve the capacity of the AWGN channel but are also a key ingredient to many multiterminal schemes that exploit linearity properties. However, constructing lattice codes…

Information Theory · Computer Science 2019-05-07 Paulo Ricardo Branco da Silva , Danilo Silva

This paper considers the multi-antenna multiple access relay channel (MARC), in which multiple users transmit messages to a common destination with the assistance of a relay. In a variety of MARC settings, the dynamic decode and forward…

Information Theory · Computer Science 2013-01-08 Chung-Pi Lee , Shih-Chun Lin , Hsuan-Jung Su , H. Vincent Poor

Low-complexity precoding {algorithms} are proposed in this work to reduce the computational complexity and improve the performance of regularized block diagonalization (RBD) {based} precoding {schemes} for large multi-user {MIMO} (MU-MIMO)…

Information Theory · Computer Science 2013-04-25 Keke Zu , Rodrigo C. de Lamare , Martin Haardt

This paper introduces a novel framework for constructing algebraic lattices based on Construction-D, leveraging nested linear codes and prime ideals from algebraic number fields. We focus on the application of these lattices in block-fading…

Information Theory · Computer Science 2025-04-16 Maryam Sadeghi , Hassan Khodaiemehr , Chen Feng

Let $K/F$ and $K/L$ be two cyclic Galois field extensions and $D=(K/F,\sigma,c)$ a cyclic algebra. Given an invertible element $d\in D$, we present three families of unital nonassociative algebras over $L\cap F$ defined on the direct sum of…

Information Theory · Computer Science 2021-04-13 Susanne Pumpluen , Andrew Steele

We demonstrate a decoding scheme for nested lattice codes which is able to decode a list of a particular size which contains the transmitted codeword with high probability. This list decoder is analogous to that used in random coding…

Information Theory · Computer Science 2010-10-04 Yiwei Song , Natasha Devroye

Block-fading channel (BF) is a useful model for various wireless communication channels in both indoor and outdoor environments. The design of lattices for BF channels offers a challenging problem, which differs greatly from its…

Information Theory · Computer Science 2020-07-13 Hassan Khodaiemehr , Daniel Panario , Mohammad-Reza Sadeghi

The problem of designing physical-layer network coding (PNC) schemes via nested lattices is considered. Building on the compute-and-forward (C&F) relaying strategy of Nazer and Gastpar, who demonstrated its asymptotic gain using…

Information Theory · Computer Science 2015-03-19 Chen Feng , Danilo Silva , Frank R. Kschischang
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