On the Moments of Absolute Difference Between Random Processes With Application to Sensor Network

Kapelko, Rafał

doi:10.1109/lsens.2018.2877385

Cited by 4 publications

(2 citation statements)

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“…Wireless mobile sensors network (WMSN) (e.g. see [1], [16], [28], [31], [36] and [38]) are being deployed for detecting and monitoring events which occur in many instances of every day life. However, it is often their case that monitoring may not be as effective due to external factors such as harsh environmental conditions, sensor faults, geographic obstacles, etc.…”

Section: Introductionmentioning

confidence: 99%

On the Energy in Displacement of Random Sensors for Connectivity and Interference

Kapelko

2020

Proceedings of the 21st International Conference on Distributed Computing and Networking

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This paper investigates the problem of the minimilization of energy consumption in reallocation of wireless mobile sensors network (WMSN) to assure good communication without interference.Fix d ∈ N \ {0}. Assume n sensors are initially randomly placed in the hyperoctant [0, ∞) d according to d identical and independent Poisson processes each with arrival rate λ > 0.Let 0 < s ≤ v be given real numbers. We are allowed to move the sensors, so that every two consecutive sensors are placed at distance greater than or equal to s and less than or equal to v.Fix a ≥ 1. Assume that i−th sensor is displaced a distance equal to m(i). The cost measure for the displacement of the team of sensors is the sum n i=1 d a i (a−total movement). In this work, we discover and explain a sharp decline and a sharp increase (a threshold phenomena) in the expected minimal a−total movement around the interference-connectivity distances s, v equal to 1 λ .

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Section: Introductionmentioning

confidence: 99%

On the Energy in Displacement of Random Sensors for Connectivity and Interference

Kapelko

2020

Proceedings of the 21st International Conference on Distributed Computing and Networking

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“…Mobile sensors are being deployed in many application areas to enable easier information retrieval in the communication environments, from sensing and diagnostics to critical infrastructure monitoring (e.g. see [13,15,22,29,35,36,42] and [47]). Current reduction in manufacturing costs makes random displacement of the sensors more attractive.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Threshold for Energy Consumption in Displacement of Random Sensors

Kapelko¹

2018

Preprint

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The fundamental problem of energy-efficient reallocation of mobile random sensors to provide full coverage without interference is adressed in this paper.Consider n mobile sensors placed randomly in m−dimensional unit cube for fixed m ∈ {1, 2}. The sensors have identical sensing range, say r. We are interested in moving the sensors from their initial random positions to new locations so that every point in the unit cube is within the range of at least one sensor, while at the same time each pair of sensors is placed at interference distance greater or equal to s. Suppose the displacement of the i−th sensor is a distance d i . As a energy consumption for the displacement of a set of n sensors we consider the a−total displacement defined as the sum n i=1 d a i , for some constant a > 0. The main contribution of this paper can be summarized as follows.2 √ n and the interference distance equal to 1 √ n for the expected minimum a−total displacement.

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On the moment absolute deviation of order statistics from uniform distribution

Kapelko¹

2022

Statistics & Probability Letters

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On the Moments of Absolute Difference Between Random Processes With Application to Sensor Network

Abstract: We give a closed analytical formula for expected absolute difference to the power a between two identical general random processes, when a is an even positive number. The following identity is valid

Cited by 4 publications

References 18 publications

On the Energy in Displacement of Random Sensors for Connectivity and Interference

On the Energy in Displacement of Random Sensors for Connectivity and Interference

Analysis of the Threshold for Energy Consumption in Displacement of Random Sensors

On the moment absolute deviation of order statistics from uniform distribution

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