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We consider the compound memoryless quantum multiple-access channel (QMAC) with two sending terminals. In this model, the transmission is governed by the memoryless extensions of a completely positive and trace preserving map which can be…

Quantum Physics · Physics 2019-06-25 Holger Boche , Gisbert Janßen , Sajad Saeedinaeeni

In this paper, we first introduce the concept of elementary linear subspace, which has similar properties to those of a set of coordinates. Using this new concept, we derive properties of maximum rank distance (MRD) codes that parallel…

Information Theory · Computer Science 2007-07-13 Maximilien Gadouleau , Zhiyuan Yan

We examine regular and irregular repeat-accumulate (RA) codes with repetition degrees which are all even. For these codes and with a particular choice of an interleaver, we give an upper bound on the decoding error probability of a…

Information Theory · Computer Science 2010-02-22 Idan Goldenberg , David Burshtein

Channel coding for discrete memoryless channels (DMCs) with mean and variance cost constraints has been recently introduced. We show that there is an improvement in coding performance due to cost variability, both with and without feedback.…

Information Theory · Computer Science 2025-07-10 Adeel Mahmood , Aaron B. Wagner

This paper considers error probabilities of random codes for memoryless channels in the fixed-rate regime. Random coding is a fundamental scheme to achieve the channel capacity and many studies have been conducted for the asymptotics of the…

Information Theory · Computer Science 2017-07-17 Junya Honda

We consider the classic joint source-channel coding problem of transmitting a memoryless source over a memoryless channel. The focus of this work is on the long-standing open problem of finding the rate of convergence of the smallest…

Information Theory · Computer Science 2019-08-27 Yuval Kochman , Or Ordentlich , Yury Polyanskiy

This paper provides comprehensive coding and outer bound for the half-duplex multiple access channel with generalized feedback (MAC-GF). Two users communicate with one destination over a discrete memoryless channel using time division. Each…

Information Theory · Computer Science 2011-08-02 Ahmad Abu Al Haija , Mai Vu

We consider ensembles of channel codes that are partitioned into bins, and focus on analysis of exact random coding error exponents associated with optimum decoding of the index of the bin to which the transmitted codeword belongs. Two main…

Information Theory · Computer Science 2016-11-18 Neri Merhav

Transmission of a Gaussian source over a time-varying multiple-input multiple-output (MIMO) channel is studied under strict delay constraints. Availability of a correlated side information at the receiver is assumed, whose quality, i.e.,…

Information Theory · Computer Science 2015-05-27 Iñaki Estella Aguerri , Deniz Gündüz

How well can we approximate a quantum channel output state using a random codebook with a certain size? In this work, we study the quantum soft covering problem. Namely, we use a random codebook with codewords independently sampled from a…

Quantum Physics · Physics 2022-02-23 Hao-Chung Cheng , Li Gao

We consider channel coding for discrete memoryless channels (DMCs) with a novel cost constraint that constrains both the mean and the variance of the cost of the codewords. We show that the maximum (asymptotically) achievable rate under the…

Information Theory · Computer Science 2025-01-23 Adeel Mahmood , Aaron B. Wagner

The reliability function of a channel is the maximum achievable exponential rate of decay of the error probability as a function of the transmission rate. In this work, we derive bounds on the reliability function of discrete memoryless…

Information Theory · Computer Science 2023-06-13 Mohsen Heidari , Achilleas Anastasopoulos , S. Sandeep Pradhan

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

Coding and testing schemes for binary hypothesis testing over noisy networks are proposed and their corresponding type-II error exponents are derived. When communication is over a discrete memoryless channel (DMC), our scheme combines…

Information Theory · Computer Science 2018-06-15 Sadaf Salehkalaibar , Michele Wigger

In this paper, the analysis of excess distortion exponent for joint source-channel coding (JSCC) in semantic-aware communication systems is presented. By introducing an unobservable semantic source, we extend the classical results by…

Information Theory · Computer Science 2023-01-16 Yuxuan Shi , Shuo Shao , Yongpeng Wu , Wenjun Zhang , Xiang-Gen Xia , Chengshan Xiao

The identification capacity is developed without randomization at neither the encoder nor the decoder. In particular, full characterization is established for the deterministic identification (DI) capacity for the Gaussian channel and for…

Information Theory · Computer Science 2021-10-11 Mohammad J. Salariseddigh , Uzi Pereg , Holger Boche , Christian Deppe

This work studies the deviations of the error exponent of the constant composition code ensemble around its expectation, known as the error exponent of the typical random code (TRC). In particular, it is shown that the probability of…

Information Theory · Computer Science 2019-12-23 Ran Tamir , Neri Merhav , Nir Weinberger , Albert Guillen i Fabregas

In practical communication systems, knowledge of channel models is often absent, and consequently, transceivers need be designed based on empirical data. In this work, we study data-driven approaches to reliably choosing decoding metrics…

Information Theory · Computer Science 2024-04-23 Jiakun Liu , Wenyi Zhang , H. Vincent Poor

We introduce a random coding technique for transmission over discrete memoryless channels, reminiscent of the basic construction attaining the Gilbert-Varshamov bound for codes in Hamming spaces. The code construction is based on drawing…

Information Theory · Computer Science 2019-03-15 Anelia Somekh-Baruch , Jonathan Scarlett , Albert Guillén i Fàbregas

This paper tackles two problems that fall under the study of coding for insertions and deletions. These problems are motivated by several applications, among them is reconstructing strands in DNA-based storage systems. Under this paradigm,…

Information Theory · Computer Science 2025-06-23 Omer Sabary , Daniella Bar-Lev , Yotam Gershon , Alexander Yucovich , Eitan Yaakobi