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We derive a new upper bound on the reliability function for channel coding over discrete memoryless channels. Our bounding technique relies on two main elements: (i) adding an auxiliary genie-receiver that reveals to the original receiver a…

Information Theory · Computer Science 2022-09-05 Anelia Somekh-Baruch

An improved Singleton-type upper bound is presented for the list decoding radius of linear codes, in terms of the code parameters [n,k,d] and the list size L. L-MDS codes are then defined as codes that attain this bound (under a slightly…

Information Theory · Computer Science 2021-12-30 Ron M. Roth

The application of precoding algorithms in multi-user massive multiple-input multiple-output (MU-Massive-MIMO) systems is restricted by the dimensionality constraint that the number of transmit antennas has to be greater than or equal to…

Information Theory · Computer Science 2014-12-24 K. Zu , R. C. de Lamare

We investigate two types of boundedness criteria for bilinear Fourier multiplier operators with symbols with bounded partial derivatives of all (or sufficiently many) orders. Theorems of the first type explicitly prescribe only a certain…

Classical Analysis and ODEs · Mathematics 2020-09-22 Lenka Slavíková

This paper studies on the cardinality of perfect multi deletion binary codes. The lower bound for any perfect deletion code with the fixed code length and the number of deletions, and the asymptotic achievable of Levenshtein's upper bound…

Combinatorics · Mathematics 2019-10-16 Takehiko Mori , Manabu Hagiwara

It is a fundamental problem to analyse the performance bound of multiple-input multiple-output (MIMO) dual-functional radar-communication (DFRC) systems. To this end, we derive a performance bound on the communication function under a…

Information Theory · Computer Science 2022-11-15 Ziheng Zheng , Xiang Liu , Tianyao Huang , Yimin Liu , Yonina C. Eldar

The optical fiber multiple-input multiple-output (MIMO) channel with intensity modulation and direct detection (IM/DD) per spatial path is treated. The spatial dimensions represent the multiple modes employed for transmission and the…

Information Theory · Computer Science 2022-01-28 Metodi P. Yankov , Francesco Da Ros , Søren Forchhammer , Lars Gruner-Nielsen

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

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 decomposition theory of matroids initiated by Paul Seymour in the 1980's has had an enormous impact on research in matroid theory. This theory, when applied to matrices over the binary field, yields a powerful decomposition theory for…

Discrete Mathematics · Computer Science 2016-11-18 Navin Kashyap

Diversity-Multiplexing tradeoff (DMT) is a coarse high SNR approximation of the fundamental tradeoff between data rate and reliability in a slow fading channel. In this paper, we characterize the fundamental DMT of the two user single…

Information Theory · Computer Science 2009-09-08 Adnan Raja , Pramod Viswanath

In this work, a MIMO detection problem is considered. At first, we derive the Generalized Likelihood Ratio Test (GLRT) for arbitrary transmitted signals and arbitrary time-correlation of the disturbance. Then, we investigate design criteria…

Other Computer Science · Computer Science 2022-03-09 Antonio De Maio , Marco Lops , Luca Venturino

We analyze two-user single-antenna fading interference channels with perfect receive channel state information (CSI) and no transmit CSI. For the case of very strong interference, we prove that decoding interference while treating the…

Information Theory · Computer Science 2009-05-04 Cemal Akçaba , Helmut Bölcskei

This paper investigates the diversity order of the minimum mean squared error (MMSE) based optimal transceivers in multiple-input multiple-output (MIMO) amplify-and-forward (AF) relaying systems. While the diversity-multiplexing tradeoff…

Information Theory · Computer Science 2013-12-17 Changick Song , Cong Ling

In this thesis, we investigate the problem of efficient data detection in large MIMO and high order MU-MIMO systems. First, near-optimal low-complexity detection algorithms are proposed for regular MIMO systems. Then, a family of…

Information Theory · Computer Science 2021-10-26 Hadi Sarieddeen

In this paper, we extend the diversity and multiplexing tradeoff (DMT) analysis from point-to-point channels to cellular systems to evaluate the impact of inter-cell interference on the system reliability and efficiency. Fundamental…

Information Theory · Computer Science 2012-03-29 Xiaoshi Song , Changchuan Yin , Danpu Liu

Many practical wireless communications systems select their transmit rate from a finite set of modulation and coding schemes, which correspond to a set of discrete rates. In this paper, we therefore formulate a joint coordinated precoding…

Information Theory · Computer Science 2016-04-20 Rasmus Brandt , Mats Bengtsson

In this work we investigate unions of lifted MRD codes of a fixed dimension and minimum distance and derive an explicit formula for the cardinality of such codes. This will then imply a lower bound on the cardinality of constant dimension…

Information Theory · Computer Science 2013-01-10 Anna-Lena Trautmann

New bounds on the cardinality of permutation codes equipped with the Ulam distance are presented. First, an integer-programming upper bound is derived, which improves on the Singleton-type upper bound in the literature for some lengths.…

Information Theory · Computer Science 2015-04-21 Faruk Göloğlu , Jüri Lember , Ago-Erik Riet , Vitaly Skachek

In this paper upper and lower bounds on the probability of decoding failure under maximum likelihood decoding are derived for different (nonbinary) Raptor code constructions. In particular four different constructions are considered; (i)…

Information Theory · Computer Science 2021-01-08 Francisco Lázaro , Gianluigi Liva , Gerhard Bauch , Enrico Paolini