Journal ArticleDOI
Channel Coding Rate in the Finite Blocklength Regime
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TLDR
It is shown analytically that the maximal rate achievable with error probability ¿ isclosely approximated by C - ¿(V/n) Q-1(¿) where C is the capacity, V is a characteristic of the channel referred to as channel dispersion, and Q is the complementary Gaussian cumulative distribution function.Abstract:
This paper investigates the maximal channel coding rate achievable at a given blocklength and error probability. For general classes of channels new achievability and converse bounds are given, which are tighter than existing bounds for wide ranges of parameters of interest, and lead to tight approximations of the maximal achievable rate for blocklengths n as short as 100. It is also shown analytically that the maximal rate achievable with error probability ? isclosely approximated by C - ?(V/n) Q-1(?) where C is the capacity, V is a characteristic of the channel referred to as channel dispersion , and Q is the complementary Gaussian cumulative distribution function.read more
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Proceedings ArticleDOI
Low Complexity Algorithms for Transmission of Short Blocks over the BSC with Full Feedback
TL;DR: Simulation results demonstrate that achievable rates for this full, noiseless feedback system approach capacity rapidly as a function of average blocklength, faster than known finite-blocklength lower bounds on achievable rate withNoiseless active feedback and significantly faster than finite-blocks length lower bounds for a stop feedback system.
Journal ArticleDOI
Interactive Communication for Data Exchange
TL;DR: In this article, a new interactive protocol for data exchange, which increases the communication size in steps until the task is done, is proposed, and a lower bound on the minimum number of bits that is based on relating the data exchange problem to the secret key agreement problem is derived.
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Nurul Huda Mahmood,Renato Abreu,Ronald Böhnke,Martin C. Schubert,Gilberto Berardinelli,Thomas Jacobsen +5 more
TL;DR: An overview of grant-free random access in 5G New Radio is provided, and two reliability-enhancing solutions are presented that result in significant performance gains, in terms of reliability as well as resource efficiency.
Journal ArticleDOI
On Exact Asymptotics of the Error Probability in Channel Coding: Symmetric Channels
Yucel Altug,Aaron B. Wagner +1 more
TL;DR: In this article, the exact order of the optimal subexponentially 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 for rates above the critical rate.
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Closed-form Output Statistics of MIMO Block-Fading Channels
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References
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David A. Freedman,William Feller +1 more
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