Finite blocklength achievable rates for energy harvesting AWGN channels with infinite buffer

Shenoy, K Gautam; Sharma, Vinod

doi:10.1109/isit.2016.7541342

Cited by 13 publications

(19 citation statements)

References 16 publications

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“…1] are equal to the capacity, −c 1 log n n and −c 2 2+ε nε respectively where c 1 and c 2 are some positive constants that do not depend on n and ε. Subsequently, Shenoy and Sharma [16] refined the analysis in [15] and improved the second-order term to − c3 √ nε where c 3 is some positive constant that does not depend on n and ε. This paper further improves the second-order term to −c 4 log(1/ε) n for any ε ∈ (0, 1/2) where c 4 is some positive constant that does not depend on n and ε (see Remark 2).…”

Section: B Related Workmentioning

confidence: 99%

“…For any (n, M )-code defined on the AWGN EH channel, let p W,E n ,X n ,Y n ,Ŵ be the joint distribution induced by the code. We can use Definition 1, (14) and (16) to factorize p W,E n ,X n ,Y n ,Ŵ as follows:…”

Section: Definitionmentioning

confidence: 99%

“…This improves the previous findings in [15, Th. 1] and [16] which established that the second-order term scales as −O log n n and −O 1 √ nε respectively. (25) is negative.…”

Section: B When L Grows Linearly In Nmentioning

confidence: 99%

See 2 more Smart Citations

On Achievable Rates of AWGN Energy-Harvesting Channels With Block Energy Arrival and Non-Vanishing Error Probabilities

Fong

Tan

Özgür

2018

IEEE Trans. Inform. Theory

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This paper investigates the achievable rates of an additive white Gaussian noise (AWGN) energy-harvesting (EH) channel with an infinite battery. The EH process is characterized by a sequence of blocks of harvested energy, which is known causally at the source. The harvested energy remains constant within a block while the harvested energy across different blocks is characterized by a sequence of independent and identically distributed (i.i.d.) random variables. The blocks have length L, which can be interpreted as the coherence time of the energy arrival process. If L is a constant or grows sublinearly in the blocklength n, we fully characterize the first-order term in the asymptotic expansion of the maximum transmission rate subject to a fixed tolerable error probability ε. The first-order term is known as the ε-capacity. In addition, we obtain lower and upper bounds on the second-order term in the asymptotic expansion, which reveal that the second order term scales as L n for any ε less than 1/2. The lower bound is obtained through analyzing the save-and-transmit strategy. If L grows linearly in n, we obtain lower and upper bounds on the εcapacity, which coincide whenever the cumulative distribution function (cdf) of the EH random variable is continuous and strictly increasing. In order to achieve the lower bound, we have proposed a novel adaptive save-and-transmit strategy, which chooses different save-and-transmit codes across different blocks according to the energy variation across the blocks.1 If the constraint E[E 3 1 ] < +∞ is replaced with the less stringent one E[E 2 1 ] < +∞, all the achievability results in this paper continue to hold. In fact, the only place that requires E[E 3 1 ] < +∞ is the use of the Berry-Esséen theorem in Section VI-B in the course of proving the converse of Theorem 1.

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Section: B Related Workmentioning

confidence: 99%

Section: Definitionmentioning

confidence: 99%

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On Achievable Rates of AWGN Energy-Harvesting Channels With Block Energy Arrival and Non-Vanishing Error Probabilities

Fong

Tan

Özgür

2018

IEEE Trans. Inform. Theory

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show abstract

“…Subsequently, Shenoy and Sharma [16] refined the analysis in [15] and improved the second-order term to − c3 √ nε where c 3 is some positive constant that does not depend on n and ε.…”

Section: B Related Workmentioning

confidence: 99%

On achievable rates of AWGN energy-harvesting channels with block energy arrival and non-vanishing error probabilities

Pong

Tan

Özgür

2017

2017 IEEE International Symposium on Information Theory (ISIT)

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This paper investigates the achievable rates of an additive white Gaussian noise (AWGN) energy-harvesting (EH) channel with an infinite battery. The EH process is characterized by a sequence of blocks of harvested energy, which is known causally at the source. The harvested energy remains constant within a block while the harvested energy across different blocks is characterized by a sequence of independent and identically distributed (i.i.d.) random variables. The blocks have length L, which can be interpreted as the coherence time of the energy arrival process. If L is a constant or grows sublinearly in the blocklength n, we fully characterize the first-order term in the asymptotic expansion of the maximum transmission rate subject to a fixed tolerable error probability ε. The first-order term is known as the ε-capacity. In addition, we obtain lower and upper bounds on the second-order term in the asymptotic expansion, which reveal that the second order term scales as L n for any ε less than 1/2. The lower bound is obtained through analyzing the save-and-transmit strategy. If L grows linearly in n, we obtain lower and upper bounds on the ε-capacity, which coincide whenever the cumulative distribution function (cdf) of the EH random variable is continuous and strictly increasing. In order to achieve the lower bound, we have proposed a novel adaptive save-and-transmit strategy, which chooses different save-and-transmit codes across different blocks according to the energy variation across the blocks.

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“…Only recently, scenarios with EH have been analyzed at finite blocklength regime [19]- [23]. In [20] the authors consider an AWGN channel where the transmitter is powered by EH only. Then, a lower bound on the maximal codebook at finite code lengths is provided and shown that it improves upon previously known bounds.…”

Section: Introductionmentioning

confidence: 99%

Ultra reliable short message relaying with wireless power transfer

López

Souza

Alves³

et al. 2017

2017 IEEE International Conference on Communications (ICC)

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We consider a dual-hop wireless network where an energy constrained relay node first harvests energy through the received radio-frequency signal from the source, and then uses the harvested energy to forward the source's information to the destination node. The throughput and delay metrics are investigated for a decode-and-forward relaying mechanism at finite blocklength regime and delay-limited transmission mode. We consider ultra-reliable communication scenarios under discussion for the next fifth-generation of wireless systems, with error and latency constraints. The impact on these metrics of the blocklength, information bits, and relay position is investigated.

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Finite blocklength achievable rates for energy harvesting AWGN channels with infinite buffer

Abstract: Abstract-We consider an additive white Gaussian channel where the transmitter is powered by an energy harvesting source. For such a system, we provide a lower bound on the maximal codebook at finite code lengths that improves upon previously known bounds.

Cited by 13 publications

References 16 publications

On Achievable Rates of AWGN Energy-Harvesting Channels With Block Energy Arrival and Non-Vanishing Error Probabilities

On Achievable Rates of AWGN Energy-Harvesting Channels With Block Energy Arrival and Non-Vanishing Error Probabilities

On achievable rates of AWGN energy-harvesting channels with block energy arrival and non-vanishing error probabilities

Ultra reliable short message relaying with wireless power transfer

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