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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

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

It is shown why the discriminant of a maximal order within a cyclic division algebra must be minimized in order to get the densest possible matrix lattices with a prescribed nonvanishing minimum determinant. Using results from class field…

Information Theory · Computer Science 2009-08-19 C. Hollanti , J. Lahtonen , K. Ranto , R. Vehkalahti

This work considers normalized inverse determinant sums as a tool for analyzing the performance of division algebra based space-time codes for multiple antenna wireless systems. A general union bound based code design criterion is obtained…

Information Theory · Computer Science 2014-03-26 Laura Luzzi , Roope Vehkalahti

It is known that, for transmission over quasi-static MIMO fading channels with n transmit antennas, diversity can be obtained by using an inner fully diverse space-time block code while coding gain, derived from the determinant criterion,…

Information Theory · Computer Science 2010-08-10 Frederique Oggier , Patrick Sole , Jean-Claude Belfiore

The differential encoding/decoding setup introduced by Kiran et al, Oggier-Hassibi and Jing-Jafarkhani for wireless relay networks that use codebooks consisting of unitary matrices is extended to allow codebooks consisting of scaled unitary…

Information Theory · Computer Science 2011-11-10 G. Susinder Rajan , B. Sundar Rajan

We describe families of nonassociative finite unital rings that occur as quotients of natural nonassociative orders in generalized nonassociative cyclic division algebras over number fields. These natural orders have already been used to…

Rings and Algebras · Mathematics 2021-04-13 Susanne Pumpluen

A customary solution to reduce the energy consumption of wireless communication devices is to periodically put the radio into low-power sleep mode. A relevant problem is to schedule the wake-up of nodes in such a way as to ensure proper…

Networking and Internet Architecture · Computer Science 2011-06-09 Francesco De Pellegrini , Karina Gomez , Daniele Miorandi , Imrich Chlamtac

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. A design criterion based on the normalized minimum determinant is proposed…

Information Theory · Computer Science 2015-07-28 Laura Luzzi , Roope Vehkalahti

In a wireless storage system, having to communicate over a fading channel makes repair transmissions prone to physical layer errors. The first approach to combat fading is to utilize the existing optimal space-time codes. However, it was…

Information Theory · Computer Science 2014-05-20 Amaro Barreal , Camilla Hollanti , David Karpuk , Hsiao-feng Lu

Space-time codes leverage the availability of multiple antennas to enhance the reliability of communication over wireless channels. While space-time codes have initially been designed with a focus on open-loop systems, recent technological…

Information Theory · Computer Science 2016-11-17 Che Lin , Vasanthan Raghavan , Venu Veeravalli

A novel coding scheme applicable in networks with single antenna nodes is proposed. This scheme converts a single antenna system to an equivalent Multiple Input Multiple Output (MIMO) system with fractional dimensions. Interference can be…

Information Theory · Computer Science 2009-08-12 Abolfazl S. Motahari , Shahab Oveis Gharan , Amir K. Khandani

Algebraic space-time coding allows for reliable data exchange across fading multiple-input multiple-output channels. A powerful technique for decoding space-time codes in Maximum-Likelihood (ML) decoding, but well-performing and widely-used…

Information Theory · Computer Science 2015-01-28 Amaro Barreal , Camilla Hollanti , David Karpuk

We consider a downlink 1-bit quantized multiuser (MU) multiple-input-multiple-output (MIMO) system, where 1-bit digital-to-analog (DACs) and analog-to-digital converters (ADCs) are used at the transmitter and the receiver for economical and…

Information Theory · Computer Science 2017-06-28 Hela Jedda , Amine Mezghani , Jawad Munir , Fabian Steiner , Josef A. Nossek

Normed division and Clifford algebras have been extensively used in the past as a mathematical framework to accommodate the structures of the standard model and grand unified theories. Less discussed has been the question of why such…

High Energy Physics - Theory · Physics 2020-11-18 R. Vilela Mendes

We propose a full-rate iterated space-time code construction, to design 2n-dimensional codes from n-dimensional cyclic algebra based codes. We give a condition to determine whether the resulting codes satisfy the full-diversity property,…

Information Theory · Computer Science 2013-03-12 Nadya Markin , Frederique Oggier

We consider a wireless network with a set of transmitter-receiver pairs, or links, that share a common channel, and address the problem of emptying finite traffic volume from the transmitters in minimum time. This, so called, minimum-time…

Networking and Internet Architecture · Computer Science 2016-11-18 Qing He , Vangelis Angelakis , Anthony Ephremides , Di Yuan

An efficient analog network coding transmission protocol is proposed in this letter for a MIMO two way cellular network. Block signal alignment is first proposed to null the inter-user interference for multi-antenna users, which makes the…

Information Theory · Computer Science 2013-08-19 Ming Gan , Zhiguo Ding , Xuchu Dai

The number of wireless devices which are connected to a single Wireless Local Area Network continues to grow each year. As a result, the orchestration of so many devices becomes a daunting, resource--consuming task, especially when the…

Information Theory · Computer Science 2023-01-19 George Vershinin , Asaf Cohen , Omer Gurewitz

We survey the recent use of division algebras in wireless communication.

Rings and Algebras · Mathematics 2009-06-09 B. A. Sethuraman
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