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We consider a cognitive radio network scenario where a primary transmitter and a secondary transmitter, respectively, communicate a message to their respective primary receiver and secondary receiver over a packet-based wireless link, using…

Information Theory · Computer Science 2015-12-11 Nan Li , Lars K. Rasmussen , Ming Xiao

We propose a modified iterative bounded distance decoding of product codes. The proposed algorithm is based on exchanging hard messages iteratively and exploiting channel reliabilities to make hard decisions at each iteration. Performance…

Information Theory · Computer Science 2018-05-15 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

Traditional channel coding with feedback constructs and transmits a codeword only after all message bits are available at the transmitter. This paper joins Guo & Kostina and Lalitha et. al. in developing approaches for causal (or…

Information Theory · Computer Science 2021-04-30 Amaael Antonini , Rita Gimeshein , Richard D. Wesel

In this paper, new index coding problems are studied, where each receiver has erroneous side information. Although side information is a crucial part of index coding, the existence of erroneous side information has not yet been considered.…

Information Theory · Computer Science 2019-09-19 Jae-Won Kim , Jong-Seon No

A memoryless state-dependent multiple-access channel (MAC) is considered, where two transmitters wish to convey their messages to a single receiver while simultaneously sensing (estimating) the respective states via generalized feedbacks.…

Information Theory · Computer Science 2022-04-01 Mehrasa Ahmadipour , Michele Wigger , Mari Kobayashi

We present simple coding strategies, which are variants of the Schalkwijk-Kailath scheme, for communicating reliably over additive white noise channels in the presence of corrupted feedback. More specifically, we consider a framework…

Information Theory · Computer Science 2007-07-13 Nuno C Martins , Tsachy Weissman

Interference alignment (IA) is a joint-transmission technique that achieves the capacity of the interference channel for high signal-to-noise ratios (SNRs). Most prior work on IA is based on the impractical assumption that perfect and…

Information Theory · Computer Science 2015-05-28 Sungyoon Cho , Kaibin Huang , Dongku Kim , Vincent K. N. Lau , Hyukjin Chae , Hanbyul Seo , Byounghoon Kim

Motivated by applications in distributed storage and distributed computation, we introduce embedded index coding (EIC). EIC is a type of distributed index coding in which nodes in a distributed system act as both senders and receivers of…

Information Theory · Computer Science 2019-11-01 Alexandra Porter , Mary Wootters

We propose a hybrid protocol combining a rectangular error-correcting code - paired with an error-detecting code - and a backward error correction in order to send packages of information over a noisy channel. We depict a linear-time…

Networking and Internet Architecture · Computer Science 2019-04-04 Binh-Minh Bui-Xuan , Pierre Meyer , Antoine Roux

We construct error correcting codes for jointly transmitting a finite set of independent messages to an 'informed receiver' which has prior knowledge of the values of some subset of the messages as side information. The transmitter is…

Information Theory · Computer Science 2016-04-08 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

An interactive error correcting code ($\mathsf{iECC}$) is an interactive protocol with the guarantee that the receiver can correctly determine the sender's message, even in the presence of noise. This generalizes the concept of an error…

Data Structures and Algorithms · Computer Science 2022-01-31 Meghal Gupta , Rachel Zhang

This paper is motivated by the problem of error control in network coding when errors are introduced in a random fashion (rather than chosen by an adversary). An additive-multiplicative matrix channel is considered as a model for random…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang , Ralf Kötter

Various spacecraft have sensors that repeatedly perform a prescribed scanning maneuver, and one may want high precision. Iterative Learning Control (ILC) records previous run tracking error, adjusts the next run command, aiming for zero…

Systems and Control · Electrical Eng. & Systems 2023-08-01 Richard W. Longman , Shuo Liu , Tarek A. Elsharhawy

Index coding is a source coding problem in which a broadcaster seeks to meet the different demands of several users, each of whom is assumed to have some prior information on the data held by the sender. If the sender knows its clients'…

Information Theory · Computer Science 2016-07-20 Eimear Byrne , Marco Calderini

An error correcting code ($\mathsf{ECC}$) allows a sender to send a message to a receiver such that even if a constant fraction of the communicated bits are corrupted, the receiver can still learn the message correctly. Due to their…

Data Structures and Algorithms · Computer Science 2021-11-09 Meghal Gupta , Yael Tauman Kalai , Rachel Zhang

A random access code (RAC) is a communication task in which the sender encodes a random message into a shorter one to be decoded by the receiver so that a randomly chosen character of the original message is recovered with some probability.…

Quantum Physics · Physics 2023-10-23 Gabriel Pereira Alves , Nicolas Gigena , Jędrzej Kaniewski

The index coding problem is a fundamental transmission problem arising in content distribution and wireless networks. Traditional approach to solve this problem is to find heuristic/ approximation minimum clique partition solution on an…

Networking and Internet Architecture · Computer Science 2016-11-15 Jalaluddin Qureshi

We introduce a convergent iterative algorithm for finding the optimal coding and decoding operations for an arbitrary noisy quantum channel. This algorithm does not require any error syndrome to be corrected completely, and hence also finds…

Quantum Physics · Physics 2007-07-26 M. Reimpell , R. F. Werner

A limited feedback-based interference alignment (IA) scheme is proposed for the interfering multi-access channel (IMAC). By employing a novel performance-oriented quantization strategy, the proposed scheme is able to achieve the minimum…

Information Theory · Computer Science 2015-03-04 Hui Gao , Tiejun Lv , Di Fang , Shaoshi Yang , Chau Yuen

We propose a novel multipath multi-hop adaptive and causal random linear network coding (AC-RLNC) algorithm with forward error correction. This algorithm generalizes our joint optimization coding solution for point-to-point communication…

Information Theory · Computer Science 2020-10-27 Alejandro Cohen , Guillaume Thiran , Vered Bar Bracha , Muriel Médard