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Optimum Power Contr...
Optimum Power Control at Finite Blocklength
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- Yang, Wei, 1987 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Caire, Giuseppe (författare)
- University of Southern California
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- Durisi, Giuseppe, 1977 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Polyanskiy, Yury (författare)
- Massachusetts Institute of Technology (MIT)
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(creator_code:org_t)
- 2015
- 2015
- Engelska.
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Ingår i: IEEE Transactions on Information Theory. - 0018-9448 .- 1557-9654. ; 61:9, s. 4598-4615
- Relaterad länk:
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http://publications.... (primary) (free)
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https://research.cha...
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https://doi.org/10.1...
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Abstract
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- This paper investigates the maximal channel coding rate achievable at a given blocklength $n$ and error probability $\epsilon$, when the codewords are subject 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 is characterized both for additive white Gaussian noise (AWGN) channels and for quasi-static fading channels with perfect channel state information available at both the transmitter and the receiver. It is shown that in both cases the second-order term is proportional to $\sqrt{n^{-1}\ln n}$. For the quasi-static fading case, this second-order term is achieved by \emph{truncated channel inversion}, namely, by concatenating a dispersion-optimal code for an AWGN channel subject to a short-term power constraint, with a power controller that inverts the channel whenever the fading gain is above a certain threshold. Easy-to-evaluate approximations of the maximal channel coding rate are developed for both the AWGN and the quasi-static fading case.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Telekommunikation (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Telecommunications (hsv//eng)
Nyckelord
- quasi-static fading channel
- Finite blocklength regime
- outage probability
- power control
- truncated channel inversion
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