NDLI: First Passage Time Analysis in Wireless Sensor Networks for SPR and MPR Systems

Content Provider	Springer Nature Link
Author	Yu, Lu Wang, Qiao
Copyright Year	2008
Abstract	In this paper, we study the performance of Slotted ALOHA in an elementary process in wireless sensor networks, in which sensors are activated by rare events and transmit packets to a single sink node within single hop. The time cost of the process can be viewed as a first passage time and we give the expectation of time and energy cost which is dependent on both the size of active nodes and their transmission rate by a first passage time analysis. Meanwhile, given the size of active nodes n, we demonstrated that the optimal transmission rate λ$_{min}$(n) by which the first passage time attains its minimum, is nearly $${\sqrt{\log n}/n}$$ . Our result indicates that time cost of the process in which each node transmits packet with transmission rate λ$_{min}$(n) increases nearly linearly with n increasing. We present the maximum likelihood estimate (MLE) of the size of active nodes from the viewpoint of sink nodes so that activated nodes can adjust its transmission rate to improve the performance of the process. Energy dissipation and time cost of the procedure in the channel model of Multi Packet Reception (MPR) are considered also. Numerical results indicate that both time cost and energy consumption of the procedure in MPR channel is superior to that in Single Packet Reception (SPR) channel while the transmission rate near or less than the optimal values with which time costs attain their minimum. Otherwise the energy dissipation in MPR channel is more than that in SPR channel although comparison of time cost in the above two channels reveals the superiority of MPR channel.
Starting Page	531
Ending Page	550
Page Count	20
File Format	PDF
ISSN	09296212
Journal	Wireless Personal Communications
Volume Number	48
Issue Number	4
e-ISSN	1572834X
Language	English
Publisher	Springer US
Publisher Date	2008-06-25
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Slotted ALOHA First passage time SPR MPR Sensor networks IEEE 802.15.4 Computer Communication Networks Signal, Image and Speech Processing Communications Engineering, Networks
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Computer Science Applications

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