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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

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

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 proves that a family of number field lattice codes simultaneously achieves a constant gap to capacity in Rayleigh fast fading and Gaussian channels. The key property in the proof is the existence of infinite towers of Hilbert…

Information Theory · Computer Science 2015-01-20 Roope Vehkalahti , Laura Luzzi

For ergodic fading, a lattice coding and decoding strategy is proposed and its performance is analyzed for the single-input single-output (SISO) and multiple-input multiple-output (MIMO) point-to-point channel as well as the multiple-access…

Information Theory · Computer Science 2017-02-28 Ahmed Hindy , Aria Nosratinia

Despite several works on secrecy coding for fading and MIMO wiretap channels from an error probability perspective, the construction of information-theoretically secure codes over such channels remains an open problem. In this paper, we…

Information Theory · Computer Science 2018-06-27 Laura Luzzi , Roope Vehkalahti , Cong Ling

We consider a fading wiretap channel model where the transmitter has only statistical channel state information, and the legitimate receiver and eavesdropper have perfect channel state information. We propose a sequence of non-random…

Information Theory · Computer Science 2016-11-18 Laura Luzzi , Cong Ling , Roope Vehkalahti

This paper investigates the maximal achievable rate for a given blocklength and error probability over quasi-static multiple-input multiple-output (MIMO) fading channels, with and without channel state information (CSI) at the transmitter…

Information Theory · Computer Science 2014-04-17 Wei Yang , Giuseppe Durisi , Tobias Koch , Yury Polyanskiy

In this paper we consider a channel model that is often used to describe the mobile wireless scenario: multiple-antenna additive white Gaussian noise channels subject to random (fading) gain with full channel state information at the…

Information Theory · Computer Science 2018-06-28 Austin Collins , Yury Polyanskiy

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 consider explicit constructions of multi-level lattice codes that universally approach the capacity of the compound block-fading channel. Specifically, building on algebraic partitions of lattices, we show how to construct codes with…

Information Theory · Computer Science 2017-05-09 Antonio Campello , Ling Liu , Cong Ling

This paper considers space-time coding over several independently Rayleigh faded blocks. In particular we will concentrate on giving upper bounds for the coding gain of lattice space-time codes as the number of blocks grow. This problem was…

Information Theory · Computer Science 2014-08-21 Benjamin Linowitz , Matthew Satriano , Roope Vehkalahti

A multiple-input multiple-output (MIMO) version of the dirty paper channel is studied, where the channel input and the dirt experience the same fading process and the fading channel state is known at the receiver (CSIR). This represents…

Information Theory · Computer Science 2017-06-22 Ahmed Hindy , Aria Nosratinia

This work aims at providing new bounds for the diversity multiplexing gain trade-off of a general class of division algebra based lattice codes. In the low multiplexing gain regime, some bounds were previously obtained from the high…

Information Theory · Computer Science 2015-09-29 Laura Luzzi , Roope Vehkalahti , Alexander Gorodnik

We investigate the maximal achievable rate for a given blocklength and error probability over quasi-static single-input multiple-output (SIMO) fading channels. Under mild conditions on the channel gains, it is shown that the channel…

Information Theory · Computer Science 2013-05-17 Wei Yang , Giuseppe Durisi , Tobias Koch , Yury Polyanskiy

In this paper, new probability bounds are derived for algebraic lattice codes. This is done by using the Dedekind zeta functions of the algebraic number fields involved in the lattice constructions. In particular, it is shown how to upper…

Information Theory · Computer Science 2013-04-19 Camilla Hollanti , Emanuele Viterbo , David Karpuk

We discuss the problem of designing channel access architectures for enabling fast, low-latency, grant-free and uncoordinated uplink for densely packed wireless nodes. Specifically, we study random-access codes, previously introduced for…

Information Theory · Computer Science 2019-07-23 Suhas S Kowshik , Kirill Andreev , Alexey Frolov , Yury Polyanskiy

The outage probability limit is a fundamental and achievable lower bound on the word error rate of coded communication systems affected by fading. This limit is mainly determined by two parameters: the diversity order and the coding gain.…

Information Theory · Computer Science 2012-10-05 Dieter Duyck , Joseph Jean Boutros , Marc Moeneclaey

In this paper we show that any sequence of infinite lattice constellations which is good for the unconstrained Gaussian channel can be shaped into a capacity-achieving sequence of codes for the power-constrained Gaussian channel under…

Information Theory · Computer Science 2018-06-26 Antonio Campello , Daniel Dadush , Cong Ling

Explicit codes are constructed that achieve the diversity-multiplexing gain tradeoff of the cooperative-relay channel under the dynamic decode-and-forward protocol for any network size and for all numbers of transmit and receive antennas at…

Information Theory · Computer Science 2007-07-13 Petros Elia , P. Vijay Kumar
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