Time-Difference-of-Arrival Estimation Based on Cross Recurrence Plots, with Application to Underwater Acoustic Signals

  • Olivier Le Bot
  • Cédric Gervaise
  • Jérôme I. Mars
Conference paper

DOI: 10.1007/978-3-319-29922-8_14

Part of the Springer Proceedings in Physics book series (SPPHY, volume 180)
Cite this paper as:
Le Bot O., Gervaise C., Mars J.I. (2016) Time-Difference-of-Arrival Estimation Based on Cross Recurrence Plots, with Application to Underwater Acoustic Signals. In: Webber, Jr. C., Ioana C., Marwan N. (eds) Recurrence Plots and Their Quantifications: Expanding Horizons. Springer Proceedings in Physics, vol 180. Springer, Cham

Abstract

The estimation of the time difference of arrival (TDOA) consists of the determination of the travel-time of a wavefront between two spatially separated receivers, and it is the first step of processing systems dedicated to the identification, localization and tracking of radiating sources. This article presents a TDOA estimator based on cross recurrence plots and on recurrence quantification analysis. Six recurrence quantification analyses measures are considered for this purpose, including two new ones that we propose in this article. Simulated signals are used to study the influence of the parameters of the cross recurrence plot, such as the embedding dimension, the similarity function, and the recurrence threshold, on the reliability and effectiveness of the estimator. Finally, the proposed method is validated on real underwater acoustic data, for which the cross recurrence plot estimates correctly 77.6 % of the TDOAs, whereas the classical cross-correlation estimates correctly only 70.2 % of the TDOAs.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Olivier Le Bot
    • 1
    • 2
  • Cédric Gervaise
    • 3
  • Jérôme I. Mars
    • 1
    • 2
  1. 1.GIPSA-LabUniv. Grenoble AlpesGrenobleFrance
  2. 2.GIPSA-LabCNRSGrenobleFrance
  3. 3.Chaire Chorus, Foundation of Grenoble INPGrenoble Cedex 1France

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