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This chapter investigates the properties of (linear) codes in $ A_n $ lattices, the practical motivation for which is found in several communication scenarios, such as asymmetric channels, sticky-insertion channels, bit-shift channels, and…

Combinatorics · Mathematics 2019-11-18 Mladen Kovačević

We study the error probability performance of rotated lattice constellations in frequency-flat Nakagami-$m$ block-fading channels. In particular, we use the sphere lower bound on the underlying infinite lattice as a performance benchmark.…

Information Theory · Computer Science 2007-07-13 Albert Guillen i Fabregas , Emanuele Viterbo

This paper addresses point-to-point communication over block-fading channels with independent fading blocks. When both channel state information at the transmitter (CSIT) and receiver (CSIR) are available, most achievable schemes use…

Information Theory · Computer Science 2018-08-28 Ahmed Hindy , Aria Nosratinia

This paper studies Gaussian Two-Way Relay Channel where two communication nodes exchange messages with each other via a relay. It is assumed that all nodes operate in half duplex mode without any direct link between the communication nodes.…

Information Theory · Computer Science 2016-11-17 Sinda Smirani , Mohamed Kamoun , Mireille Sarkiss , Abdellatif Zaidi , Pierre Duhamel

We construct integer error-correcting codes and covering codes for the limited-magnitude error channel with more than one error. The codes are lattices that pack or cover the space with the appropriate error ball. Some of the constructions…

Information Theory · Computer Science 2020-06-01 Hengjia Wei , Xin Wang , Moshe Schwartz

A simple scheme for communication over MIMO broadcast channels is introduced which adopts the lattice reduction technique to improve the naive channel inversion method. Lattice basis reduction helps us to reduce the average transmitted…

Information Theory · Computer Science 2016-11-15 Mahmoud Taherzadeh , Amin Mobasher , Amir K. Khandani

The index coding problem involves a sender with K messages to be transmitted across a broadcast channel, and a set of receivers each of which demands a subset of the K messages while having prior knowledge of a different subset as side…

Information Theory · Computer Science 2016-11-17 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

Based on algebraic number theory we construct some families of rotated Dn-lattices with full diversity which can be good for signal transmission over both Gaussian and Rayleigh fading channels. Closed-form expressions for the minimum…

Number Theory · Mathematics 2011-11-17 Grasiele Cristiane Jorge , Agnaldo José Ferrari , Sueli Irene Rodrigues Costa

We discuss the performance of polar codes, the capacity-achieving channel codes, on wireless communication channel in this paper. By generalizing the definition of Bhattacharyya Parameter in discrete memoryless channel, we present the…

Information Theory · Computer Science 2012-04-30 Peng Shi , Shengmei Zhao , Bei Wang

In the decades following Shannon's work, the quest to design codes for the additive white Gaussian noise (AWGN) channel led to the development of a rich theory, revealing a number of beautiful connections between information theory and…

Information Theory · Computer Science 2017-12-21 Laura Luzzi , Roope Vehkalahti

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

Consider a pair of correlated Gaussian sources (X1,X2). Two separate encoders observe the two components and communicate compressed versions of their observations to a common decoder. The decoder is interested in reconstructing a linear…

Information Theory · Computer Science 2007-07-25 D. Krithivasan , S. S. Pradhan

In this exploratory study, near-threshold scattering of $D$ and $\bar{D}^*$ meson is investigated using lattice QCD with $N_f=2+1+1$ twisted mass fermion configurations. The calculation is performed within the coupled-channel L\"uscher's…

High Energy Physics - Lattice · Physics 2020-01-08 Ting Chen , Ying Chen , Ming Gong , Chuan Liu , Liuming Liu , Yu-Bin Liu , Zhaofeng Liu , Jian-Ping Ma , Markus Werner , Jian-Bo Zhang

Lattice coding techniques may be used to derive achievable rate regions which outperform known independent, identically distributed (i.i.d.) random codes in multi-source relay networks and in particular the two-way relay channel. Gains stem…

Information Theory · Computer Science 2016-11-17 Yiwei Song , Natasha Devroye , Huai-Rong Shao , Chiu Ngo

Recent results have shown that lattice codes can be used to construct good channel codes, source codes and physical layer network codes for Gaussian channels. On the other hand, for Gaussian channels with secrecy constraints, efforts to…

Information Theory · Computer Science 2009-05-19 Xiang He , Aylin Yener

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

For many wiretap channel models asymptotically optimal coding schemes are known, but less effort has been put into actual realizations of wiretap codes for practical parameters. Bounds on the mutual information and error probability when…

Information Theory · Computer Science 2016-11-02 Oliver Wilhelm Gnilke , Ha Thanh Nguyen Tran , Alex Karrila , Camilla Hollanti

The fundamental and natural connection between the infinite constellation (IC) dimension and the best diversity order it can achieve is investigated in this paper. In the first part of this work we develop an upper bound on the diversity…

Information Theory · Computer Science 2015-03-19 Yair Yona , Meir Feder

The Compute-and-Forward protocol in quasi-static channels normally employs lattice codes based on the rational integers $\mathbb{Z}$, Gaussian integers $\mathbb{Z}\left[i\right]$ or Eisenstein integers $\mathbb{Z}\left[\omega\right]$, while…

Information Theory · Computer Science 2019-05-13 Shanxiang Lyu , Antonio Campello , Cong Ling

In this article, the design of secure lattice coset codes for general wireless channels with fading and Gaussian noise is studied. Recalling the eavesdropper's probability and information bounds, a variant of the latter is given from which…

Information Theory · Computer Science 2016-08-02 Amaro Barreal , Alex Karrila , David Karpuk , Camilla Hollanti