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Age of Information-Reliability Trade-offs in Energy Harvesting Sensor Networks

Navid Nouri, Darya Ardan, Mahmood Mohassel Feghhi

TL;DR

This paper presents a closed form expression for the AoI of a deterministic and a randomized scheme that guarantee a desired probability of successful transmission for each status, alongside with a zero-error scheme and defines a novel notion called AoI-reliability trade-off.

Abstract

Age of Information (AoI) is a recently defined quantity, which measures the freshness of information in a communication scheme. In this paper, we analyze a network that consists of a sensor node, an energy source and a receiver. The energy source is broadcasting energy and the sensor is charging its battery using energy-harvesting technologies. Whenever the battery gets fully charged, the sensor measures some quantity (called its status) from an environment, and (or) transmits its status to the receiver. The full analysis of AoI of this network, in the setting when each status is sent once, is given previously. However, that approach does not present a reliability guarantee better than the success probability of one transmission. In this paper, we present a closed form expression for the AoI of a deterministic and a randomized scheme that guarantee a desired probability of successful transmission for each status, alongside with a zero-error scheme. Furthermore, we define a novel notion called AoI-reliability trade-off and present the AoI-reliability trade-offs of our schemes. Additionally, we show that numerical results match our theoretical findings.

Age of Information-Reliability Trade-offs in Energy Harvesting Sensor Networks

TL;DR

This paper presents a closed form expression for the AoI of a deterministic and a randomized scheme that guarantee a desired probability of successful transmission for each status, alongside with a zero-error scheme and defines a novel notion called AoI-reliability trade-off.

Abstract

Age of Information (AoI) is a recently defined quantity, which measures the freshness of information in a communication scheme. In this paper, we analyze a network that consists of a sensor node, an energy source and a receiver. The energy source is broadcasting energy and the sensor is charging its battery using energy-harvesting technologies. Whenever the battery gets fully charged, the sensor measures some quantity (called its status) from an environment, and (or) transmits its status to the receiver. The full analysis of AoI of this network, in the setting when each status is sent once, is given previously. However, that approach does not present a reliability guarantee better than the success probability of one transmission. In this paper, we present a closed form expression for the AoI of a deterministic and a randomized scheme that guarantee a desired probability of successful transmission for each status, alongside with a zero-error scheme. Furthermore, we define a novel notion called AoI-reliability trade-off and present the AoI-reliability trade-offs of our schemes. Additionally, we show that numerical results match our theoretical findings.

Paper Structure

This paper contains 16 sections, 8 theorems, 28 equations, 5 figures, 2 tables, 2 algorithms.

Table of Contents

  1. Introduction
  2. Our results
  3. Related work
  4. Outline
  5. Preliminaries
  6. System model
  7. Harvesting
  8. Transmission
  9. Feedback
  10. Schemes with reliability guarantees
  11. Deterministic scheme
  12. Randomized scheme
  13. Zero-error scheme
  14. Simulations
  15. Conclusion
  16. ...and 1 more sections

Key Result

Proposition 1

We have $\mathbb{E}[T]=1+\beta$ and $\mathbb{E}[T^2]=1+3\beta+\beta^2$, where $\beta:=\lambda B/(\eta P)$ (see Section sec:sysmodel for the definition of parameters used in the definition of $\beta$).

Figures (5)

  • Figure 1: An instance for illustrating the notations defined above, and the steps that we use to calculate $\mathbb{E}[A_i]$.
  • Figure 2: An illustration of the notations used in the proof of Lemma \ref{['lem:XX2']}.
  • Figure 3: Comparison of average AoI-reliability trade offs for the setting where $\beta=87$ and $\pi=0.65$, for the deterministic and the randomized schemes.
  • Figure 4: Average AoI with reliability guarantee of $99\%$ for a range of battery capacity for five different settings of parameters.
  • Figure 5: Average AoI with different reliability guarantees for a range of battery capacity.

Theorems & Definitions (20)

  • Remark 1
  • Proposition 1: Proposition 1 of krikidis2019average
  • Lemma 1
  • proof
  • Lemma 2
  • proof
  • Lemma 3
  • proof
  • Theorem 1
  • proof
  • ...and 10 more