Joint optimization of transmit power-time and bit energy efficiency in CDMA wireless sensor networks

Tao Shu, Marwan M Krunz, Sarma Vrudhula

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

In this paper, we address the problem of minimizing energy consumption in a CDMA-based wireless sensor network (WSN). A comprehensive energy consumption model is proposed, which accounts for both the transmit and circuit energies. Energy consumption is minimized by jointly optimizing the transmit power and transmission time for each active node in the network. The problem is formulated as a non-convex optimization. Numerical as well as closed-form approximate solutions are provided. For the numerical solution, we show that the formulation can be transformed into a convex geometric programming (GP), for which fast algorithms, such as interior point method, can be applied. For the closed-form solution, we prove that the joint power/time optimization can be decoupled into two sequential sub-problems: optimization of transmit power with transmission time serving as a parameter, and then optimization of the transmission time. We show that the first sub-problem is a linear program while the second one can be well approximated as a convex programming problem. Taking advantage of these analytical results, we further derive the perbit energy efficiency. Our results are verified through numerical examples and simulations.

Original languageEnglish (US)
Pages (from-to)3109-3118
Number of pages10
JournalIEEE Transactions on Wireless Communications
Volume5
Issue number11
DOIs
StatePublished - Nov 2006

Fingerprint

Code Division multiple Access
Energy Efficiency
Code division multiple access
Energy efficiency
Wireless Sensor Networks
Wireless sensor networks
Energy Consumption
Energy utilization
Optimization
Convex optimization
Convex Programming
Geometric Programming
Nonconvex Optimization
Interior Point Method
Closed-form Solution
Linear Program
Fast Algorithm
Closed-form
Approximate Solution
Numerical Solution

Keywords

  • CDMA
  • Convex optimization
  • Geometric programming
  • Joint power and time optimization
  • Sensor network

ASJC Scopus subject areas

  • Engineering(all)
  • Computer Networks and Communications

Cite this

Joint optimization of transmit power-time and bit energy efficiency in CDMA wireless sensor networks. / Shu, Tao; Krunz, Marwan M; Vrudhula, Sarma.

In: IEEE Transactions on Wireless Communications, Vol. 5, No. 11, 11.2006, p. 3109-3118.

Research output: Contribution to journalArticle

@article{73175d89808648e3aad6c94d1ad17b16,
title = "Joint optimization of transmit power-time and bit energy efficiency in CDMA wireless sensor networks",
abstract = "In this paper, we address the problem of minimizing energy consumption in a CDMA-based wireless sensor network (WSN). A comprehensive energy consumption model is proposed, which accounts for both the transmit and circuit energies. Energy consumption is minimized by jointly optimizing the transmit power and transmission time for each active node in the network. The problem is formulated as a non-convex optimization. Numerical as well as closed-form approximate solutions are provided. For the numerical solution, we show that the formulation can be transformed into a convex geometric programming (GP), for which fast algorithms, such as interior point method, can be applied. For the closed-form solution, we prove that the joint power/time optimization can be decoupled into two sequential sub-problems: optimization of transmit power with transmission time serving as a parameter, and then optimization of the transmission time. We show that the first sub-problem is a linear program while the second one can be well approximated as a convex programming problem. Taking advantage of these analytical results, we further derive the perbit energy efficiency. Our results are verified through numerical examples and simulations.",
keywords = "CDMA, Convex optimization, Geometric programming, Joint power and time optimization, Sensor network",
author = "Tao Shu and Krunz, {Marwan M} and Sarma Vrudhula",
year = "2006",
month = "11",
doi = "10.1109/TWC.2006.04738",
language = "English (US)",
volume = "5",
pages = "3109--3118",
journal = "IEEE Transactions on Wireless Communications",
issn = "1536-1276",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "11",

}

TY - JOUR

T1 - Joint optimization of transmit power-time and bit energy efficiency in CDMA wireless sensor networks

AU - Shu, Tao

AU - Krunz, Marwan M

AU - Vrudhula, Sarma

PY - 2006/11

Y1 - 2006/11

N2 - In this paper, we address the problem of minimizing energy consumption in a CDMA-based wireless sensor network (WSN). A comprehensive energy consumption model is proposed, which accounts for both the transmit and circuit energies. Energy consumption is minimized by jointly optimizing the transmit power and transmission time for each active node in the network. The problem is formulated as a non-convex optimization. Numerical as well as closed-form approximate solutions are provided. For the numerical solution, we show that the formulation can be transformed into a convex geometric programming (GP), for which fast algorithms, such as interior point method, can be applied. For the closed-form solution, we prove that the joint power/time optimization can be decoupled into two sequential sub-problems: optimization of transmit power with transmission time serving as a parameter, and then optimization of the transmission time. We show that the first sub-problem is a linear program while the second one can be well approximated as a convex programming problem. Taking advantage of these analytical results, we further derive the perbit energy efficiency. Our results are verified through numerical examples and simulations.

AB - In this paper, we address the problem of minimizing energy consumption in a CDMA-based wireless sensor network (WSN). A comprehensive energy consumption model is proposed, which accounts for both the transmit and circuit energies. Energy consumption is minimized by jointly optimizing the transmit power and transmission time for each active node in the network. The problem is formulated as a non-convex optimization. Numerical as well as closed-form approximate solutions are provided. For the numerical solution, we show that the formulation can be transformed into a convex geometric programming (GP), for which fast algorithms, such as interior point method, can be applied. For the closed-form solution, we prove that the joint power/time optimization can be decoupled into two sequential sub-problems: optimization of transmit power with transmission time serving as a parameter, and then optimization of the transmission time. We show that the first sub-problem is a linear program while the second one can be well approximated as a convex programming problem. Taking advantage of these analytical results, we further derive the perbit energy efficiency. Our results are verified through numerical examples and simulations.

KW - CDMA

KW - Convex optimization

KW - Geometric programming

KW - Joint power and time optimization

KW - Sensor network

UR - http://www.scopus.com/inward/record.url?scp=33846225651&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33846225651&partnerID=8YFLogxK

U2 - 10.1109/TWC.2006.04738

DO - 10.1109/TWC.2006.04738

M3 - Article

AN - SCOPUS:33846225651

VL - 5

SP - 3109

EP - 3118

JO - IEEE Transactions on Wireless Communications

JF - IEEE Transactions on Wireless Communications

SN - 1536-1276

IS - 11

ER -