Comment to "Coverage by Randomly Deployed Wireless Sensor Networks"

TL;DR

This paper corrects a key lemma in a previous work on wireless sensor network coverage, significantly altering the original results and conclusions of that study.

Contribution

It provides a corrected version of a crucial lemma, leading to revised and more accurate results in the analysis of sensor network coverage.

Findings

Corrected the key lemma from the original paper.

Revised results significantly differ from the original conclusions.

Enhanced accuracy in coverage analysis for wireless sensor networks.

Abstract

It is a correction paper on "P.J. Wan and C.W. Yi, "Coverage by Randomly Deployed Wireless Sensor Networks", IEEE Transaction On Information Theory, vol.52, No.6, June 2006." In the above paper, Lemma (4), on page 2659 play the key role for deriving the main results in the paper. The statement as well as the proof of Lemma (4), page $2659,$ is not correct. We have given the correct version of Lemma. This change in Lemma leads a drastic change in all the result derived in the above paper.