Skip to main content
Top

2023 | OriginalPaper | Chapter

4. Three-Dimensional Analytical Solution Under the Cuboid, Rectangular Pyramid, and Random Sensor Networks

Authors : Longjun Dong, Xibing Li

Published in: Velocity-Free Localization Methodology for Acoustic and Microseismic Sources

Publisher: Springer Nature Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The source localization methods discussed here are analytical solutions with unknown velocity, in which explicit formulas are used to express source coordinates. In the process of deriving analytical solutions, the cuboid, rectangular pyramid, and random sensor networks are taken into consideration. The analytical solutions are then validated using authentic data from numerical and experimental tests.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Chan Y-T, Ho K (1994) An efficient closed-form localization solution from time difference of arrival measurements. In: Proceedings of ICASSP'94. IEEE international conference on acoustics, speech and signal processing, 1994. IEEE, vol 392, pp II/393–II/396 Chan Y-T, Ho K (1994) An efficient closed-form localization solution from time difference of arrival measurements. In: Proceedings of ICASSP'94. IEEE international conference on acoustics, speech and signal processing, 1994. IEEE, vol 392, pp II/393–II/396
2.
go back to reference Liu H, Milios E (2005) Acoustic positioning using multiple microphone arrays. J Acoust Soc Am 117(5):2772–2782CrossRef Liu H, Milios E (2005) Acoustic positioning using multiple microphone arrays. J Acoust Soc Am 117(5):2772–2782CrossRef
3.
go back to reference Brandstein MS, Adcock JE, Silverman HF (1997) A closed-form location estimator for use with room environment microphone arrays. IEEE Trans Speech Audio Process 5(1):45–50CrossRef Brandstein MS, Adcock JE, Silverman HF (1997) A closed-form location estimator for use with room environment microphone arrays. IEEE Trans Speech Audio Process 5(1):45–50CrossRef
4.
go back to reference Dong L, Zou W, Li X, Shu W, Wang Z (2019) Collaborative localization method using analytical and iterative solutions for microseismic/acoustic emission sources in the rockmass structure for underground mining. Eng Fract Mech 210(2019):95-112 Dong L, Zou W, Li X, Shu W, Wang Z (2019) Collaborative localization method using analytical and iterative solutions for microseismic/acoustic emission sources in the rockmass structure for underground mining. Eng Fract Mech 210(2019):95-112
5.
go back to reference Duraiswami R, Zotkin D, Davis L (1999) Exact solutions for the problem of source location from measured time differences of arrival. J Acoust Soc Am 106(4):2277–2277CrossRef Duraiswami R, Zotkin D, Davis L (1999) Exact solutions for the problem of source location from measured time differences of arrival. J Acoust Soc Am 106(4):2277–2277CrossRef
6.
go back to reference Smith J, Abel J (1987) Closed-form least-squares source location estimation from range-difference measurements. IEEE Trans Acoust Speech Signal Process 35(12):1661–1669CrossRef Smith J, Abel J (1987) Closed-form least-squares source location estimation from range-difference measurements. IEEE Trans Acoust Speech Signal Process 35(12):1661–1669CrossRef
7.
go back to reference Mellen G, Pachter M, Raquet J (2003) Closed-form solution for determining emitter location using time difference of arrival measurements. IEEE Trans Aerosp Electron Syst 39(3):1056–1058CrossRef Mellen G, Pachter M, Raquet J (2003) Closed-form solution for determining emitter location using time difference of arrival measurements. IEEE Trans Aerosp Electron Syst 39(3):1056–1058CrossRef
8.
go back to reference Ge M (2003) Analysis of source location algorithms—part I: overview and non-iterative methods. J Acoust Emiss 21(1):14–28 Ge M (2003) Analysis of source location algorithms—part I: overview and non-iterative methods. J Acoust Emiss 21(1):14–28
10.
go back to reference Dong L-J, Li X-B, Tang L-Z, Gong F-Q (2011) Mathematical functions and parameters for microseismic source location without pre-measuring speed. Chin J Rock Mech Eng 30(10):2057–2067 Dong L-J, Li X-B, Tang L-Z, Gong F-Q (2011) Mathematical functions and parameters for microseismic source location without pre-measuring speed. Chin J Rock Mech Eng 30(10):2057–2067
11.
go back to reference Han G, Yang X, Liu L, Zhang W, Guizani M (2017) A disaster management-oriented path planning for mobile anchor node-based localization in wireless sensor networks. IEEE Trans Emerg Top Comput 8(1):115–125CrossRef Han G, Yang X, Liu L, Zhang W, Guizani M (2017) A disaster management-oriented path planning for mobile anchor node-based localization in wireless sensor networks. IEEE Trans Emerg Top Comput 8(1):115–125CrossRef
12.
go back to reference Xie S, Wang Y (2014) Construction of tree network with limited delivery latency in homogeneous wireless sensor networks. Wireless Pers Commun 78(1):231–246CrossRef Xie S, Wang Y (2014) Construction of tree network with limited delivery latency in homogeneous wireless sensor networks. Wireless Pers Commun 78(1):231–246CrossRef
13.
go back to reference Shen J, Tan HW, Wang J, Wang JW, Lee S (2015) A novel routing protocol providing good transmission reliability in underwater sensor networks. J Internet Technol 16(1):171–178 Shen J, Tan HW, Wang J, Wang JW, Lee S (2015) A novel routing protocol providing good transmission reliability in underwater sensor networks. J Internet Technol 16(1):171–178
14.
go back to reference Zhang Y, Sun X, Wang B (2016) Efficient algorithm for k-barrier coverage based on integer linear programming. China Commun 13(7):16–23CrossRef Zhang Y, Sun X, Wang B (2016) Efficient algorithm for k-barrier coverage based on integer linear programming. China Commun 13(7):16–23CrossRef
15.
go back to reference Han G, Liu L, Chan S, Yu R, Yang Y (2017) HySense: A hybrid mobile crowdsensing framework for sensing opportunities compensation under dynamic coverage constraint. IEEE Commun Mag 55(3):93–99CrossRef Han G, Liu L, Chan S, Yu R, Yang Y (2017) HySense: A hybrid mobile crowdsensing framework for sensing opportunities compensation under dynamic coverage constraint. IEEE Commun Mag 55(3):93–99CrossRef
16.
go back to reference Han G, Liu L, Jiang J, Shu L, Hancke G (2015) Analysis of energy-efficient connected target coverage algorithms for industrial wireless sensor networks. IEEE Trans Industr Inf 13(1):135–143CrossRef Han G, Liu L, Jiang J, Shu L, Hancke G (2015) Analysis of energy-efficient connected target coverage algorithms for industrial wireless sensor networks. IEEE Trans Industr Inf 13(1):135–143CrossRef
17.
go back to reference Dong L-J, Wesseloo J, Potvin Y, Li X-B (2016) Discriminant models of blasts and seismic events in mine seismology. Int J Rock Mech Min Sci 86:282–291CrossRef Dong L-J, Wesseloo J, Potvin Y, Li X-B (2016) Discriminant models of blasts and seismic events in mine seismology. Int J Rock Mech Min Sci 86:282–291CrossRef
19.
go back to reference Dong L, Wesseloo J, Potvin Y, Li X (2016) Discrimination of mine seismic events and blasts using the fisher classifier, naive bayesian classifier and logistic regression. Rock Mech Rock Eng 49(1):183–211CrossRef Dong L, Wesseloo J, Potvin Y, Li X (2016) Discrimination of mine seismic events and blasts using the fisher classifier, naive bayesian classifier and logistic regression. Rock Mech Rock Eng 49(1):183–211CrossRef
Metadata
Title
Three-Dimensional Analytical Solution Under the Cuboid, Rectangular Pyramid, and Random Sensor Networks
Authors
Longjun Dong
Xibing Li
Copyright Year
2023
Publisher
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-19-8610-9_4