Cramér-rao bound for TOA estimations in UWB positioning systems

Bamrung Tau Sieskul; Thomas Kaiser

Cramér-rao bound for TOA estimations in UWB positioning systems

Bamrung Tau Sieskul
, Thomas Kaiser

University Duisburg-Essen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Citations (Scopus)

Abstract

This paper deals with time delay estimation for a UWB positioning system. We consider the a priori model in which the distributions of path gain and the desired time delay are known. Joint probability density functions for both parameters are cast into explicit form. Then, we address parameter estimations based on maximum likelihood as well as maximum a posteriori. The Fisher information matrix (FIM) of the ordinary Cramér-Rao bound (CRB) is available from maximum likelihood criterion. For three possible cases of a priori knowledge, the inherent accuracy are provided by a posteriori CRBs, which can be derived from three possible assumptions. All theoretical results are unconditioned on any specification of UWB pulse and hence are plausible to extend to further performance analysis.

Original language	English
Title of host publication	ICU 2005
Subtitle of host publication	2005 IEEE International Conference on Ultra-Wideband, Conference Proceedings
Pages	408-413
Number of pages	6
Publication status	Published - 2005
Externally published	Yes
Event	ICU 2005: 2005 IEEE International Conference on Ultra-Wideband - Zurich, Switzerland Duration: 5 Sept 2005 → 8 Sept 2005

Publication series

Name	ICU 2005: 2005 IEEE International Conference on Ultra-Wideband, Conference Proceedings
Volume	2005

Conference

Conference	ICU 2005: 2005 IEEE International Conference on Ultra-Wideband
Country/Territory	Switzerland
City	Zurich
Period	5/09/05 → 8/09/05

Cite this

@inproceedings{7724365ed6e548af9b84a8b2cad3d3df,

title = "Cram{\'e}r-rao bound for TOA estimations in UWB positioning systems",

abstract = "This paper deals with time delay estimation for a UWB positioning system. We consider the a priori model in which the distributions of path gain and the desired time delay are known. Joint probability density functions for both parameters are cast into explicit form. Then, we address parameter estimations based on maximum likelihood as well as maximum a posteriori. The Fisher information matrix (FIM) of the ordinary Cram{\'e}r-Rao bound (CRB) is available from maximum likelihood criterion. For three possible cases of a priori knowledge, the inherent accuracy are provided by a posteriori CRBs, which can be derived from three possible assumptions. All theoretical results are unconditioned on any specification of UWB pulse and hence are plausible to extend to further performance analysis.",

author = "Sieskul, \{Bamrung Tau\} and Thomas Kaiser",

year = "2005",

language = "English",

isbn = "078039397X",

series = "ICU 2005: 2005 IEEE International Conference on Ultra-Wideband, Conference Proceedings",

pages = "408--413",

booktitle = "ICU 2005",

note = "ICU 2005: 2005 IEEE International Conference on Ultra-Wideband ; Conference date: 05-09-2005 Through 08-09-2005",

}

Sieskul, BT & Kaiser, T 2005, Cramér-rao bound for TOA estimations in UWB positioning systems. in ICU 2005: 2005 IEEE International Conference on Ultra-Wideband, Conference Proceedings., 1570022, ICU 2005: 2005 IEEE International Conference on Ultra-Wideband, Conference Proceedings, vol. 2005, pp. 408-413, ICU 2005: 2005 IEEE International Conference on Ultra-Wideband, Zurich, Switzerland, 5/09/05.

Cramér-rao bound for TOA estimations in UWB positioning systems. / Sieskul, Bamrung Tau; Kaiser, Thomas.
ICU 2005: 2005 IEEE International Conference on Ultra-Wideband, Conference Proceedings. 2005. p. 408-413 1570022 (ICU 2005: 2005 IEEE International Conference on Ultra-Wideband, Conference Proceedings; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Cramér-rao bound for TOA estimations in UWB positioning systems

AU - Sieskul, Bamrung Tau

AU - Kaiser, Thomas

PY - 2005

Y1 - 2005

N2 - This paper deals with time delay estimation for a UWB positioning system. We consider the a priori model in which the distributions of path gain and the desired time delay are known. Joint probability density functions for both parameters are cast into explicit form. Then, we address parameter estimations based on maximum likelihood as well as maximum a posteriori. The Fisher information matrix (FIM) of the ordinary Cramér-Rao bound (CRB) is available from maximum likelihood criterion. For three possible cases of a priori knowledge, the inherent accuracy are provided by a posteriori CRBs, which can be derived from three possible assumptions. All theoretical results are unconditioned on any specification of UWB pulse and hence are plausible to extend to further performance analysis.

AB - This paper deals with time delay estimation for a UWB positioning system. We consider the a priori model in which the distributions of path gain and the desired time delay are known. Joint probability density functions for both parameters are cast into explicit form. Then, we address parameter estimations based on maximum likelihood as well as maximum a posteriori. The Fisher information matrix (FIM) of the ordinary Cramér-Rao bound (CRB) is available from maximum likelihood criterion. For three possible cases of a priori knowledge, the inherent accuracy are provided by a posteriori CRBs, which can be derived from three possible assumptions. All theoretical results are unconditioned on any specification of UWB pulse and hence are plausible to extend to further performance analysis.

UR - https://www.scopus.com/pages/publications/33645920937

M3 - Conference contribution

AN - SCOPUS:33645920937

SN - 078039397X

SN - 9780780393974

T3 - ICU 2005: 2005 IEEE International Conference on Ultra-Wideband, Conference Proceedings

SP - 408

EP - 413

BT - ICU 2005

T2 - ICU 2005: 2005 IEEE International Conference on Ultra-Wideband

Y2 - 5 September 2005 through 8 September 2005

ER -

Cramér-rao bound for TOA estimations in UWB positioning systems

Abstract

Publication series

Conference

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