Abstract
Localization accuracy is crucial in sensor networks. A wireless sensor network (WSN) with M anchors and one node is considered in this paper. The estimation is based on time of arrival (TOA) in the presence of fading channels. The Cramer-Rao lower bound (CRLB) for localization error in the presence of fading is derived under different scenarios. Firstly, fading coefficients are considered as unknown random parameters with a prior distribution. The ML estimator for this case is also derived. If the distribution of fading is unknown to the estimator then the modified CRLB (MCRLB) is applied and shown to be equal to the CRLB in the absence of fading. This is used to conclude that fading always deteriorates the CRLB in localization. It is shown that there is a loss of about 5dB in CRLB due to Rayleigh fading.
| Original language | English (US) |
|---|---|
| Title of host publication | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |
| Pages | 5150-5154 |
| Number of pages | 5 |
| DOIs | |
| State | Published - Oct 18 2013 |
| Event | 2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Vancouver, BC, Canada Duration: May 26 2013 → May 31 2013 |
Other
| Other | 2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 |
|---|---|
| Country | Canada |
| City | Vancouver, BC |
| Period | 5/26/13 → 5/31/13 |
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Keywords
- Cramer-Rao lower bound
- fading
- localization
- ML estimator
- time of arrival
- wireless sensor networks
ASJC Scopus subject areas
- Signal Processing
- Software
- Electrical and Electronic Engineering
Cite this
CRLB for the localization error in the presence of fading. / Zhang, Xue; Tepedelenlioglu, Cihan; Banavar, Mahesh; Spanias, Andreas.
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 2013. p. 5150-5154 6638644.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - CRLB for the localization error in the presence of fading
AU - Zhang, Xue
AU - Tepedelenlioglu, Cihan
AU - Banavar, Mahesh
AU - Spanias, Andreas
PY - 2013/10/18
Y1 - 2013/10/18
N2 - Localization accuracy is crucial in sensor networks. A wireless sensor network (WSN) with M anchors and one node is considered in this paper. The estimation is based on time of arrival (TOA) in the presence of fading channels. The Cramer-Rao lower bound (CRLB) for localization error in the presence of fading is derived under different scenarios. Firstly, fading coefficients are considered as unknown random parameters with a prior distribution. The ML estimator for this case is also derived. If the distribution of fading is unknown to the estimator then the modified CRLB (MCRLB) is applied and shown to be equal to the CRLB in the absence of fading. This is used to conclude that fading always deteriorates the CRLB in localization. It is shown that there is a loss of about 5dB in CRLB due to Rayleigh fading.
AB - Localization accuracy is crucial in sensor networks. A wireless sensor network (WSN) with M anchors and one node is considered in this paper. The estimation is based on time of arrival (TOA) in the presence of fading channels. The Cramer-Rao lower bound (CRLB) for localization error in the presence of fading is derived under different scenarios. Firstly, fading coefficients are considered as unknown random parameters with a prior distribution. The ML estimator for this case is also derived. If the distribution of fading is unknown to the estimator then the modified CRLB (MCRLB) is applied and shown to be equal to the CRLB in the absence of fading. This is used to conclude that fading always deteriorates the CRLB in localization. It is shown that there is a loss of about 5dB in CRLB due to Rayleigh fading.
KW - Cramer-Rao lower bound
KW - fading
KW - localization
KW - ML estimator
KW - time of arrival
KW - wireless sensor networks
UR - http://www.scopus.com/inward/record.url?scp=84890457673&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84890457673&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2013.6638644
DO - 10.1109/ICASSP.2013.6638644
M3 - Conference contribution
AN - SCOPUS:84890457673
SN - 9781479903566
SP - 5150
EP - 5154
BT - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ER -