Energy Efficient Signal Detection Using SPRT and Ordered Transmissions in Wireless Sensor Networks

In a distributed detection system with multiple sensors, the ordered transmission scheme (OTS) proposed by Blum and Sadler requires a fewer number of transmissions in comparison with a fixed sample size test with the same probability of error performance. In this work, we propose an ordered transmis...

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Main Authors: Shailee Yagnik, Ramanarayanan Viswanathan, Lei Cao
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Open Journal of Signal Processing
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Online Access:https://ieeexplore.ieee.org/document/10738433/
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author Shailee Yagnik
Ramanarayanan Viswanathan
Lei Cao
author_facet Shailee Yagnik
Ramanarayanan Viswanathan
Lei Cao
author_sort Shailee Yagnik
collection DOAJ
description In a distributed detection system with multiple sensors, the ordered transmission scheme (OTS) proposed by Blum and Sadler requires a fewer number of transmissions in comparison with a fixed sample size test with the same probability of error performance. In this work, we propose an ordered transmission scheme using a truncated sequential probability ratio test (SPRT), termed as OSPRT. With a suitable choice of two design parameters, the probability of error of the OSPRT can be upper bounded by no more than a certain percentage above the probability of error of OTS, yet achieving significant savings in both the average number of samples needed to arrive at a decision, and the average energy in signal transmission. The superiority of ordered transmissions over unordered transmissions is quantified in terms of Kullback-Leibler information. Simulation analysis for the detection of a constant signal of moderate strength in Gaussian noise shows that the probability of error of OSPRT, which is substantially below the theoretical upper bound, is only negligibly larger than the OTS error. Analysis also shows that OSPRT is more energy efficient than the original OTS.
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publishDate 2024-01-01
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spelling doaj-art-1519e60a7e9d4a0ab4a6301d2ca35f6d2024-11-27T00:01:01ZengIEEEIEEE Open Journal of Signal Processing2644-13222024-01-0151119113310.1109/OJSP.2024.348853010738433Energy Efficient Signal Detection Using SPRT and Ordered Transmissions in Wireless Sensor NetworksShailee Yagnik0https://orcid.org/0000-0003-1915-1338Ramanarayanan Viswanathan1https://orcid.org/0000-0002-9495-8804Lei Cao2https://orcid.org/0000-0002-6995-0122Department of Electrical and Computer Engineering, Valparaiso University, Valparaiso, IN, USADepartment of Electrical and Computer Engineering, University of Mississippi, University, MS, USADepartment of Electrical and Computer Engineering, University of Mississippi, University, MS, USAIn a distributed detection system with multiple sensors, the ordered transmission scheme (OTS) proposed by Blum and Sadler requires a fewer number of transmissions in comparison with a fixed sample size test with the same probability of error performance. In this work, we propose an ordered transmission scheme using a truncated sequential probability ratio test (SPRT), termed as OSPRT. With a suitable choice of two design parameters, the probability of error of the OSPRT can be upper bounded by no more than a certain percentage above the probability of error of OTS, yet achieving significant savings in both the average number of samples needed to arrive at a decision, and the average energy in signal transmission. The superiority of ordered transmissions over unordered transmissions is quantified in terms of Kullback-Leibler information. Simulation analysis for the detection of a constant signal of moderate strength in Gaussian noise shows that the probability of error of OSPRT, which is substantially below the theoretical upper bound, is only negligibly larger than the OTS error. Analysis also shows that OSPRT is more energy efficient than the original OTS.https://ieeexplore.ieee.org/document/10738433/SPRTordered transmissionsdistributed detectionwireless sensor networks
spellingShingle Shailee Yagnik
Ramanarayanan Viswanathan
Lei Cao
Energy Efficient Signal Detection Using SPRT and Ordered Transmissions in Wireless Sensor Networks
IEEE Open Journal of Signal Processing
SPRT
ordered transmissions
distributed detection
wireless sensor networks
title Energy Efficient Signal Detection Using SPRT and Ordered Transmissions in Wireless Sensor Networks
title_full Energy Efficient Signal Detection Using SPRT and Ordered Transmissions in Wireless Sensor Networks
title_fullStr Energy Efficient Signal Detection Using SPRT and Ordered Transmissions in Wireless Sensor Networks
title_full_unstemmed Energy Efficient Signal Detection Using SPRT and Ordered Transmissions in Wireless Sensor Networks
title_short Energy Efficient Signal Detection Using SPRT and Ordered Transmissions in Wireless Sensor Networks
title_sort energy efficient signal detection using sprt and ordered transmissions in wireless sensor networks
topic SPRT
ordered transmissions
distributed detection
wireless sensor networks
url https://ieeexplore.ieee.org/document/10738433/
work_keys_str_mv AT shaileeyagnik energyefficientsignaldetectionusingsprtandorderedtransmissionsinwirelesssensornetworks
AT ramanarayananviswanathan energyefficientsignaldetectionusingsprtandorderedtransmissionsinwirelesssensornetworks
AT leicao energyefficientsignaldetectionusingsprtandorderedtransmissionsinwirelesssensornetworks