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
Citations
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Journal ArticleDOI
Wireless Energy and Information Transmission Using Feedback: Infinite and Finite Block-Length Analysis
TL;DR: The simulation and analytical results demonstrate that the retransmission-based protocols are efficient techniques to reduce the energy-limited outage probability of wireless energy and information transmission systems.
Journal ArticleDOI
Ultra-Reliable and Low-Latency Vehicular Transmission: An Extreme Value Theory Approach
Chen-Feng Liu,Mehdi Bennis +1 more
TL;DR: This work proposes two queue-aware power allocation solutions that achieve lower mean and variance of the maximal queue length by leveraging Lyapunov stochastic optimization to deal with network dynamics.
Journal ArticleDOI
Throughput analysis of buffer-constrained wireless systems in the finite blocklength regime
TL;DR: Interactions and tradeoffs between the throughput, queueing constraints, coding blocklength, decoding error probabilities, and signal-to-noise ratio are investigated, and several conclusions with important practical implications are drawn.
Journal ArticleDOI
Arimoto–Rényi Conditional Entropy and Bayesian $M$ -Ary Hypothesis Testing
Igal Sason,Sergio Verdu +1 more
TL;DR: In this article, upper and lower bounds on the minimum error probability of Bayesian hypothesis testing in terms of the Arimoto-Renyi conditional entropy of an arbitrary order were derived.
Proceedings ArticleDOI
Finite Blocklength Information Theory: What Is the Practical Impact on Wireless Communications?
TL;DR: The true outage probability in Ricean and Nakagami-m block fading channels is investigated and it is proved that the asymptotic outage capacity is the Laplace approximation of the average error probability in finite blocklength regime.
References
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A mathematical theory of communication
TL;DR: This final installment of the paper considers the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now.
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An Introduction to Probability Theory and Its Applications
David A. Freedman,William Feller +1 more
An Introduction To Probability Theory And Its Applications
TL;DR: A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.