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In a single hop broadcast packet erasure network, we demonstrate that it is possible to provide multirate packet delivery outside of what is given by the network min-cut. This is achieved by using a deterministic non-block-based network…

Information Theory · Computer Science 2014-01-06 Amy Fu , Parastoo Sadeghi , Muriel Medard

We consider the on-time transmissions of a sequence of packets over a fading channel.Different from traditional in-time communications, we investigate how many packets can be received $\delta$-on-time, meaning that the packet is received…

Information Theory · Computer Science 2022-02-18 Yan Li , Yunquan Dong , Byonghyo Shim

This article considers the performance of digital communication systems transmitting messages over finite-state erasure channels with memory. Information bits are protected from channel erasures using error-correcting codes; successful…

Information Theory · Computer Science 2013-09-10 Santhosh Kumar , Jean-Francois Chamberland , Henry D. Pfister

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

Path diversity works by setting up multiple parallel connections between the end points using the topological path redundancy of the network. In this paper, \textit{Forward Error Correction} (FEC) is applied across multiple independent…

Networking and Internet Architecture · Computer Science 2008-05-16 Shervan Fashandi , Shahab Oveis Gharan , Amir K. Khandani

This paper concerns the maximum coding rate at which data can be transmitted over a noncoherent, single-antenna, Rayleigh block-fading channel using an error-correcting code of a given blocklength with a block-error probability not…

Information Theory · Computer Science 2020-03-31 Alejandro Lancho , Tobias Koch , Giuseppe Durisi

In this work, we consider the problem of transmission rate selection for a discrete time point-to-point block fading wireless communication link. The wireless channel remains constant within the channel coherence time but can change rapidly…

Networking and Internet Architecture · Computer Science 2021-08-24 Haoyue Tang , Xinyu Hou , Jintao Wang , Jian Song

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

This paper studies the tradeoff between channel coding and ARQ (automatic repeat request) in Rayleigh block-fading channels. A heavily coded system corresponds to a low transmission rate with few ARQ re-transmissions, whereas lighter coding…

Information Theory · Computer Science 2015-03-13 Peng Wu , Nihar Jindal

In this paper, we propose a methodology to compute the optimal finite-length coding rate for random linear network coding schemes over a line network. To do so, we first model the encoding, reencoding, and decoding process of different…

Networking and Internet Architecture · Computer Science 2018-05-16 Tan Do-Duy , M. Ángeles Vázquez-Castro

This paper presents new FEC codes for the erasure channel, LDPC-Band, that have been designed so as to optimize a hybrid iterative-Maximum Likelihood (ML) decoding. Indeed, these codes feature simultaneously a sparse parity check matrix,…

Information Theory · Computer Science 2009-01-23 Alexandre Soro , Mathieu Cunche , Jerome Lacan , Vincent Roca

The question whether RM codes are capacity-achieving is a long-standing open problem in coding theory that was recently answered in the affirmative for transmission over erasure channels [1], [2]. Remarkably, the proof does not rely on…

Information Theory · Computer Science 2016-07-12 Shrinivas Kudekar , Santhosh Kumar , Marco Mondelli , Henry D. Pfister , Rüdiger Urbanke

This paper investigates low-latency streaming codes for a three-node relay network. The source transmits a sequence of messages (streaming messages) to the destination through the relay between them, where the first-hop channel from the…

Information Theory · Computer Science 2022-03-14 Silas L. Fong , Ashish Khisti , Baochun Li , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

We study the repair problem of distributed storage systems in erasure networks where the packets transmitted from surviving nodes to the new node might be lost. The fundamental storage-bandwidth tradeoff is calculated by multicasting…

Information Theory · Computer Science 2013-01-30 Majid Gerami , Ming Xiao

We study a variant of unequal error protection in channel coding, where the message bit string is divided into a finite number of blocks and the maximization objective is a weighted sum of per-block decoding success probabilities. The…

Information Theory · Computer Science 2026-04-09 Adeel Mahmood

One pervasive challenge in providing a high quality-of-service for live communication is to recover lost packets in real-time. Streaming codes are a class of erasure codes that are designed for such strict, low-latency streaming…

Information Theory · Computer Science 2023-02-28 Michael Rudow , K. V. Rashmi

The problem of channel coding with the erasure option is revisited for discrete memoryless channels. The interplay between the code rate, the undetected and total error probabilities is characterized. Using the information spectrum method,…

Information Theory · Computer Science 2015-10-22 Masahito Hayashi , Vincent Y. F. Tan

Coded computation is a framework which provides redundancy in distributed computing systems to speed up largescale tasks. Although most existing works assume an error-free scenarios in a master-worker setup, the link failures are common in…

Information Theory · Computer Science 2019-01-14 Dong-Jun Han , Jy-yong Sohn , Jaekyun Moon

We study near optimal error correction codes for real-time communication. In our setup the encoder must operate on an incoming source stream in a sequential manner, and the decoder must reconstruct each source packet within a fixed playback…

Information Theory · Computer Science 2013-05-16 Ahmed Badr , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

In this paper, we present an extension of the semidefinite programming formulation of the optimal rate code design in single link Binary Erasure Channel (BEC) proposed by the authors to the Binary Erasure Multiple Access Channel (BE-MAC)…

Information Theory · Computer Science 2014-09-18 Hassan Tavakoli