Search Results - Error probability in coding theory
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Optimum Overflow Thresholds in Variable-Length Source Coding Allowing Non-Vanishing Error Probability
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.12.2019Published in IEEE transactions on information theory (01.12.2019)“…The variable-length source coding problem allowing the error probability up to some constant is considered for general sources…”
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On Exact Asymptotics of the Error Probability in Channel Coding: Symmetric Channels
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.02.2021Published in IEEE transactions on information theory (01.02.2021)“…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…”
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Probability of error for the fixed-length lossy coding of general sources
ISSN: 0018-9448, 1557-9654Published: New York, NY IEEE 01.04.2005Published in IEEE transactions on information theory (01.04.2005)“…In this correspondence, we are interested in the error exponent of fixed-length lossy source coding, where the sources are general sources, in the sense of Han and Verduacute, including…”
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Probability of error for the fixed-length source coding of general sources
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.05.2001Published in IEEE transactions on information theory (01.05.2001)“… We investigate the asymptotic behavior of the probability of error for the fixed-length source coding of general sources. Han (1998, 2000…”
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Error Probability and Capacity Analysis of Generalised Pre-Coding Aided Spatial Modulation
ISSN: 1536-1276, 1558-2248Published: New York IEEE 01.01.2015Published in IEEE transactions on wireless communications (01.01.2015)“…The recently proposed multiple input multiple output (MIMO) transmission scheme termed as generalized pre-coding aided spatial modulation (GPSM…”
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Error detection and correction for coding theory on k-order Gaussian Fibonacci matrices
ISSN: 1551-0018, 1551-0018Published: United States AIMS Press 01.01.2023Published in Mathematical biosciences and engineering : MBE (01.01.2023)“…In this study, the coding theory defined for k-order Gaussian Fibonacci polynomials is rearranged by taking <inline-formula><tex-math id="M1">\begin{document}$ x = 1 $\end{document}</tex-math></inline-formula…”
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Channel Coding Rate in the Finite Blocklength Regime
ISSN: 0018-9448, 1557-9654Published: New York, NY IEEE 01.05.2010Published in IEEE transactions on information theory (01.05.2010)“…This paper investigates the maximal channel coding rate achievable at a given blocklength and error probability…”
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Fast Sparse Superposition Codes Have Near Exponential Error Probability for R < C
ISSN: 0018-9448Published: New York, NY Institute of Electrical and Electronics Engineers 01.02.2014Published in IEEE transactions on information theory (01.02.2014)Get full text
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Exact Decoding Probability Under Random Linear Network Coding
ISSN: 1089-7798, 1558-2558Published: New York, NY IEEE 01.01.2011Published in IEEE communications letters (01.01.2011)“…In this letter, we compute the exact probability that a receiver obtains N linearly independent packets among K…”
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Moderate Deviations in Channel Coding
ISSN: 0018-9448, 1557-9654Published: New York, NY IEEE 01.08.2014Published in IEEE transactions on information theory (01.08.2014)“…We consider block codes whose rate converges to the channel capacity with increasing blocklength at a certain speed and examine the best possible decay of the probability of error…”
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Polar Coding Without Alphabet Extension for Asymmetric Models
ISSN: 0018-9448, 1557-9654Published: New York, NY IEEE 01.12.2013Published in IEEE transactions on information theory (01.12.2013)“…This paper considers polar coding for asymmetric settings, that is, channel coding for asymmetric channels and lossy source coding for nonuniform sources and/or asymmetric distortion measures…”
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12
Information Spectrum Approach to Second-Order Coding Rate in Channel Coding
ISSN: 0018-9448, 1557-9654Published: New York, NY IEEE 01.11.2009Published in IEEE transactions on information theory (01.11.2009)“…In this paper, second-order coding rate of channel coding is discussed for general sequence of channels…”
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Average Probability of Error for Single Uniprior Index Coding Over Binary-Input Continuous-Output Channels
ISSN: 0018-9448, 1557-9654Published: IEEE 01.09.2024Published in IEEE transactions on information theory (01.09.2024)“… considered the same class of ICPs over Rayleigh fading channels. They developed the min-max probability of error criterion for choosing an index code from the set of bandwidth-optimal linear index codes…”
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14
Computation of the Optimal Error Exponent Function for Fixed-Length Lossy Source Coding in Discrete Memoryless Sources
ISSN: 0018-9448, 1557-9654Published: IEEE 01.05.2025Published in IEEE transactions on information theory (01.05.2025)“…Marton's optimal error exponent for the lossy source coding problem is defined as a non-convex optimization problem…”
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15
Error Probability Bounds for Coded-Index DNA Storage Systems
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.11.2022Published in IEEE transactions on information theory (01.11.2022)“… A coded-index concatenated-coding scheme is considered, in which the <inline-formula> <tex-math notation="LaTeX">m </tex-math></inline-formula>th molecule of the codeword is restricted to a subset of all possible molecules…”
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Expurgated Random-Coding Ensembles: Exponents, Refinements, and Connections
ISSN: 0018-9448, 1557-9654Published: New York, NY IEEE 01.08.2014Published in IEEE transactions on information theory (01.08.2014)“… Variations of Gallager's analysis are presented, yielding several asymptotic and nonasymptotic bounds on the error probability for an arbitrary codeword distribution…”
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Journal Article Conference Proceeding -
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An Efficient Feedback Coding Scheme With Low Error Probability for Discrete Memoryless Channels
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.06.2015Published in IEEE transactions on information theory (01.06.2015)“… These new features make the analysis of the error probability for the new scheme easier than for posterior matching…”
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Transmission Rate Analysis for Large Scale Uplink Networks in the Finite Block-Length Regime
ISSN: 1558-2612Published: IEEE 01.03.2023Published in IEEE Wireless Communications and Networking Conference : [proceedings] : WCNC (01.03.2023)“…) networks rely on the classical Shannon coding theory which assumes long codes and vanishing frame error probability, which is imprecise for short codes…”
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Conference Proceeding -
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Tight Exponential Strong Converse for Source Coding Problem With Encoded Side Information
ISSN: 0018-9448, 1557-9654Published: IEEE 01.03.2025Published in IEEE transactions on information theory (01.03.2025)“…The source coding problem with encoded side information is considered. A lower bound on the strong converse exponent has been derived by Oohama, but its tightness has not been…”
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Lower Bounds on the Probability of Error for Classical and Classical-Quantum Channels
ISSN: 0018-9448, 1557-9654Published: New York, NY IEEE 01.12.2013Published in IEEE transactions on information theory (01.12.2013)“…In this paper, lower bounds on error probability in coding for discrete classical and classical-quantum channels are studied…”
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