Optimum Power Control at Finite Blocklength

• Published in: IEEE transactions on information theory Vol. 61; no. 9; pp. 4598 - 4615
• Main Authors: Yang, Wei, Caire, Giuseppe, Durisi, Giuseppe, Polyanskiy, Yury
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2015; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Approximation; AWGN channels; Channel coding; Communication channels; Electric noise; Error probability; Fading; Finite blocklength regime; Information theory; Normal distribution; outage probability; power control; Probability distribution; quasi-static fading channel; Random variables; Receivers; Receivers & amplifiers; Transmitters; truncated channel inversion; truncated channel inversion; power control; outage probability; Finite blocklength regime; quasi-static fading channel

This paper investigates the maximal channel coding rate achievable at a given blocklength n and error probability ϵ, when the codewords are subjected to a long-term (i.e., averaged-over-all-codeword) power constraint. The second-order term in the large-n expansion of the maximal channel coding rate...