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Journal ArticleDOI

Linear Least Squares Approach for Accurate Received Signal Strength Based Source Localization

Hing Cheung So, +1 more
- 01 Aug 2011 - 
- Vol. 59, Iss: 8, pp 4035-4040
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TLDR
It is proved that the performance of the improved LLS estimator achieves Cramer-Rao lower bound at sufficiently small noise conditions and the variances of the position estimates are derived and confirmed by computer simulations.
Abstract
A conventional approach for passive source localization is to utilize signal strength measurements of the emitted source received at an array of spatially separated sensors. The received signal strength (RSS) information can be converted to distance estimates for constructing a set of circular equations, from which the target position is determined. Nevertheless, a major challenge in this approach lies in the shadow fading effect which corresponds to multiplicative measurement errors. By utilizing the mean and variance of the squared distance estimates, we devise two linear least squares (LLS) estimators for RSS-based positioning in this paper. The first one is a best linear unbiased estimator while the second is its improved version by exploiting the known relation between the parameter estimates. The variances of the position estimates are derived and confirmed by computer simulations. In particular, it is proved that the performance of the improved LLS estimator achieves Cramer-Rao lower bound at sufficiently small noise conditions.

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Citations
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Journal ArticleDOI

Sequential source localisation and range estimation based on shrinkage algorithm

TL;DR: A shrinkage algorithm is proposed that employs the Cramer-Rao lower bound (CRLB) instead of the variance for the maximum likelihood (ML) estimate, and the variance of the ML estimate and CRLB were found to be similar in simulation results.
Journal ArticleDOI

Secure and Distributed On-Demand Randomized Routing in WSN

TL;DR: A secure and distributed algorithm that generates routes on-demand in a wireless sensor network that exhibits very low selection overhead and also provides distributed routs, which eventually lead to prolonged network lifetime is presented.
Patent

System and method for estimating wireless device positions

TL;DR: In this paper, a wireless device detection computer device for determining the location of wireless device is provided, which includes a processor in communication with a memory, which is configured to receive status messages from a plurality of anchor points, each status message of the plurality of status messages includes a received signal strength associated with a first wireless signal received at the corresponding anchor point from a first mobile device.
Journal ArticleDOI

Distributed Fusion Tracking Estimation under Range-Only Measurement

- 01 Jan 2022 - 
TL;DR: In this article , a distributed fusion estimation problem of range-only target tracking system with unknown but bounded noises is considered, where the linear and nonlinear motion models are both considered.
References
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TL;DR: The Fundamentals of Statistical Signal Processing: Estimation Theory as mentioned in this paper is a seminal work in the field of statistical signal processing, and it has been used extensively in many applications.
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Locating the nodes: cooperative localization in wireless sensor networks

TL;DR: Using the models, the authors have shown the calculation of a Cramer-Rao bound (CRB) on the location estimation precision possible for a given set of measurements in wireless sensor networks.
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A simple and efficient estimator for hyperbolic location

TL;DR: An effective technique in locating a source based on intersections of hyperbolic curves defined by the time differences of arrival of a signal received at a number of sensors is proposed and is shown to attain the Cramer-Rao lower bound near the small error region.
Journal ArticleDOI

Relative location estimation in wireless sensor networks

TL;DR: This work derives CRBs and maximum-likelihood estimators (MLEs) under Gaussian and log-normal models for the TOA and RSS measurements, respectively for sensor location estimation when sensors measure received signal strength or time-of-arrival between themselves and neighboring sensors.
Journal ArticleDOI

Least squares algorithms for time-of-arrival-based mobile location

TL;DR: It is shown that the CWLS estimator yields better performance than the LS method and achieves both the Crame/spl acute/r-Rao lower bound and the optimal circular error probability at sufficiently high signal-to-noise ratio conditions.
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