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In this paper, we first propose a redundant radix based number (RBN) representation for encoding the data to be transmitted in a wireless network. This RBN encoding uses three possible values - 0, 1 and $\bar 1$, for each digit to be…

Networking and Internet Architecture · Computer Science 2016-06-16 Koushik Sinha

Although the representation of the real numbers in terms of a base and a set of digits has a long history, new questions arise even in simple situations. This paper concerns binary radix systems, i.e., positional number systems with digits…

Combinatorics · Mathematics 2013-05-29 Andrew Vince

Contemporary lossy image and video coding standards rely on transform coding, the process through which pixels are mapped to an alternative representation to facilitate efficient data compression. Despite impressive performance of…

Image and Video Processing · Electrical Eng. & Systems 2023-02-21 Lyndon R. Duong , Bohan Li , Cheng Chen , Jingning Han

Erasure codes are widely used in today's storage systems to cope with failures. Most of them use the finite field arithmetic. In this paper, we propose an implementation and a coding speed evaluation of an original method called PYRIT…

Information Theory · Computer Science 2017-09-04 Jonathan Detchart , Jérôme Lacan

In this paper, we propose \textit{binary radiance fields} (BiRF), a storage-efficient radiance field representation employing binary feature encoding that encodes local features using binary encoding parameters in a format of either $+1$ or…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Seungjoo Shin , Jaesik Park

In this paper, we study the performance of network-coded cooperative diversity systems with practical communication constraints. More specifically, we investigate the interplay between diversity, coding, and multiplexing gain when the relay…

Information Theory · Computer Science 2016-11-17 Michela Iezzi , Marco Di Renzo , Fabio Graziosi

Binary embedding of high-dimensional data aims to produce low-dimensional binary codes while preserving discriminative power. State-of-the-art methods often suffer from high computation and storage costs. We present a simple and fast…

Information Theory · Computer Science 2016-01-26 Sung-Hsien Hsieh , Chun-Shien Lu , Soo-Chang Pei

We consider a time division duplex (TDD) $n_t \times n_r$ multiple-input multiple-output (MIMO) system with channel state information (CSI) at both the transmitter and receiver. We propose X- and Y-Codes to achieve high multiplexing and…

Information Theory · Computer Science 2009-12-11 Saif Khan Mohammed , Emanuele Viterbo , Yi Hong , Ananthanarayanan Chockalingam

Array codes have been widely employed in storage systems, such as Redundant Arrays of Inexpensive Disks (RAID). The row-diagonal parity (RDP) codes and EVENODD codes are two popular double-parity array codes. As the capacity of hard disks…

Information Theory · Computer Science 2018-03-12 Hanxu Hou , Yunghsiang S. Han , Kenneth W. Shum , Hui Li

This paper proposes a novel entropy encoding technique for lossless data compression. Representing a message string by its lexicographic index in the permutations of its symbols results in a compressed version matching Shannon entropy of…

Information Theory · Computer Science 2017-03-24 Abu Bakar Siddique

We study multi-user multi-way relay networks where $N$ user nodes exchange their information through a single relay node. We use network coding in the relay to increase the throughput. Due to the limitation of complexity, we only consider…

Information Theory · Computer Science 2013-03-20 Ang Yang , Zesong Fei , Chengwen Xing , Ming Xiao , Jinhong Yuan , Jingming Kuang

A characterization of systematic network coding over multi-hop wireless networks is key towards understanding the trade-off between complexity and delay performance of networks that preserve the systematic structure. This paper studies the…

Networking and Internet Architecture · Computer Science 2016-11-18 Giuliano Giacaglia , Xiaomeng Shi , MinJi Kim , Daniel E. Lucani , Muriel Medard

A method for encoding and decoding spectrum shaped binary run-length constrained sequences is described. The binary sequences with predefined range of exponential sums are introduced. On the base of Cover's enumerative scheme, recurrence…

Information Theory · Computer Science 2010-01-26 Oleg F. Kurmaev

A new coding scheme for image transmission over noisy channel is proposed. Similar to standard image compression, the scheme includes a linear transform followed by successive refinement scalar quantization. Unlike conventional schemes, in…

Information Theory · Computer Science 2012-10-03 Ozgun Y. Bursalioglu , Giuseppe Caire , Dariush Divsalar

In this work we present some results that allow to improve the decoding radius in solving polynomial linear systems with errors in the scenario where errors are additive and randomly distributed over a finite field. The decoding radius…

Information Theory · Computer Science 2020-03-05 Eleonora Guerrini , Romain Lebreton , Ilaria Zappatore

In this paper, a multi-source multi-relay cooperative wireless network with binary modulation and binary network coding is studied. The system model encompasses: i) a demodulate-and-forward protocol at the relays, where the received packets…

Information Theory · Computer Science 2012-04-24 Marco Di Renzo , Michela Iezzi , Fabio Graziosi

Relative entropy coding (REC) algorithms encode a random sample following a target distribution $Q$, using a coding distribution $P$ shared between the sender and receiver. Sadly, general REC algorithms suffer from prohibitive encoding…

Information Theory · Computer Science 2024-10-30 Jiajun He , Gergely Flamich , José Miguel Hernández-Lobato

We consider the design and analysis of coding schemes for the binary input two way relay channel with erasure noise. We are particularly interested in reliable physical layer network coding in which the relay performs perfect error…

Information Theory · Computer Science 2016-11-17 Brett Hern , Krishna Narayanan

This paper considers the multiple-access relay channel in a setting where two source nodes transmit packets to a destination node, both directly and via a relay node, over packet erasure channels. Intra-session network coding is used at the…

Information Theory · Computer Science 2022-03-08 Amjad Saeed Khan , Ioannis Chatzigeorgiou

Recent advancements in deep learning-based image compression are notable. However, prevalent schemes that employ a serial context-adaptive entropy model to enhance rate-distortion (R-D) performance are markedly slow. Furthermore, the…

Applications · Statistics 2024-03-25 Haisheng Fu , Feng Liang , Jie Liang , Zhenman Fang , Guohe Zhang , Jingning Han