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We establish the capacity region for a class of discrete memoryless cognitive interference channel (DM-CIC) called cognitive-more-capable channel, and we show that superposition coding is the optimal encoding technique. This is the largest…

Information Theory · Computer Science 2014-01-21 Mojtaba Vaezi

We study the performance of nonbinary low-density parity-check (LDPC) codes over finite integer rings over two channels that arise from the Lee metric. The first channel is a discrete memory-less channel (DMC) matched to the Lee metric. The…

Information Theory · Computer Science 2022-10-19 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

The exact order of the optimal sub-exponentially decaying factor in the classical bounds on the error probability of fixed-length codes over a Gallager-symmetric discrete memoryless channel with and without ideal feedback is determined.…

Information Theory · Computer Science 2019-09-02 Yücel Altuğ , Aaron B. Wagner

The two-user Gaussian interference channel (G-IC) is revisited, with a particular focus on practically amenable discrete input signalling and treating interference as noise (TIN) receivers. The corresponding deterministic interference…

Information Theory · Computer Science 2021-03-18 Min Qiu , Yu-Chih Huang , Jinhong Yuan

The cognitive interference channel (C-IFC) consists of a classical two-user interference channel in which the message of one user (the "primary" user) is non-causally available at the transmitter of the other user (the "cognitive" user). We…

Information Theory · Computer Science 2016-11-18 Stefano Rini , Daniela Tuninetti , Natasha Devroye

Huffman coding finds an optimal prefix code for a given probability mass function. Consider situations in which one wishes to find an optimal code with the restriction that all codewords have lengths that lie in a user-specified set of…

Information Theory · Computer Science 2008-01-03 Michael B. Baer

Molecular communication (MC) enables information transfer through molecules at the nano-scale. This paper presents new and optimized source coding (data compression) methods for MC. In a recent paper, prefix source coding was introduced…

Information Theory · Computer Science 2024-10-08 Melih Şahin , Beyza E. Ortlek , Ozgur B. Akan

For the polar codes introduced by Arikan in 2009, the first code family achieving the capacity of binary-input discrete memoryless channels (BIDMCs) with low-complexity encoding and decoding, it is crucial to evaluate the reliability of the…

Information Theory · Computer Science 2026-04-29 Yadong Jiao , Xiaoyan Cheng , Yuansheng Tang , Ming Xu

We study memoryless, discrete time, matrix channels with additive white Gaussian noise and input power constraints of the form $Y_i = \sum_j H_{ij} X_j + Z_i$, where $Y_i$ ,$X_j$ and $Z_i$ are complex, $i=1..m$, $j=1..n$, and $H$ is a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Anirvan Mayukh Sengupta , Partha Pratim Mitra

We develop the notion of a locally homomorphic channel and prove an approximate equivalence between those and codes for computing functions. Further, we derive decomposition properties of locally homomorphic channels which we use to analyze…

Information Theory · Computer Science 2024-04-23 Johannes Rosenberger , Holger Boche , Juan A. Cabrera , Christian Deppe

In this paper, we consider the problem of evaluating capacity expression of a multiple access channel (MAC) with noiseless feedback. So far, the capacity expression for this channel is known through a multi letter directed information by…

Information Theory · Computer Science 2022-02-08 Deepanshu Vasal

A two-user discrete memoryless compound multiple access channel with a common message and conferencing decoders is considered. The capacity region is characterized in the special cases of physically degraded channels and unidirectional…

Information Theory · Computer Science 2016-11-18 O. Simeone , D. Gunduz , H. V. Poor , A. Goldsmith , S. Shamai

We consider a new fundamental question regarding the point-to-point memoryless channel. The source-channel separation theorem indicates that random codebook construction for lossy source compression and channel coding can be independently…

Information Theory · Computer Science 2011-10-04 Paul Cuff , Curt Schieler

Computing capacity of Gaussian Interference Channel (GIC) is complex since knowledge of input distributions is needed to find the mutual information terms in closed forms, which should be optimized over input distributions and associated…

Information Theory · Computer Science 2020-12-09 Amir K. Khandani

Several applications of molecular communications (MC) feature an alarm-prompt behavior for which the prevalent Shannon capacity may not be the appropriate performance metric. The identification capacity as an alternative measure for such…

Information Theory · Computer Science 2022-12-07 Mohammad Javad Salariseddigh , Vahid Jamali , Uzi Pereg , Holger Boche , Christian Deppe , Robert Schober

Gaussian channels with memory and with noiseless feedback have been widely studied in the information theory literature. However, a coding scheme to achieve the feedback capacity is not available. In this paper, a coding scheme is proposed…

Information Theory · Computer Science 2007-07-13 Jialing Liu , Nicola Elia

In this paper, the Dynamic-Assignment Blahut-Arimoto (DAB) algorithm identifies finite-support probability mass functions (PMFs) with small cardinality that achieve capacity for amplitude-constrained (AC) Additive White Gaussian Noise…

Information Theory · Computer Science 2020-06-02 Derek Xiao , Linfang Wang , Richard D. Wesel

Calculating the capacity (with or without feedback) of channels with memory and continuous alphabets is a challenging task. It requires optimizing the directed information (DI) rate over all channel input distributions. The objective is a…

Information Theory · Computer Science 2020-05-19 Ziv Aharoni , Dor Tsur , Ziv Goldfeld , Haim Henry Permuter

The operational capacity of Gaussian MIMO channels with memory was obtained by Brandenburg and Wyner in [9] under certain mild assumptions on the channel impulse response and its noise covariance matrix, which essentuially require channel…

Information Theory · Computer Science 2022-05-11 Sergey Loyka , Charalambos D. Charalambous

This work introduces the particle-intensity channel (PIC) as a model for molecular communication systems and characterizes the capacity limits as well as properties of the optimal (capacity-achieving) input distributions for such channels.…

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