Source Localization in Acoustic Sensor Networks via Constrained Least-Squares Optimization Using AOA and GROA Measurements

A constrained least-squares (CLS) 3D source localization method is presented for acoustic sensor networks with sensor position errors. The proposed approach uses angles of arrivals (AOAs) and gain ratios of arrival (GROAs) measured simultaneously at each node to estimate the source position jointly. Compared to AOA-only localization methods, the GROAs can be used in conjunction with AOA measurements so as to get more accurate results by exploiting the geometrical relationship between these two measurements. Compared to time difference of arrival localization methods, the proposed algorithm does not require accurate time synchronization over different nodes. The theoretical mean-square error matrices of the proposed approach are derived and they are exactly equal to the Cramér–Rao bound for Gaussian noise under the small error condition. Simulations validate the performance of the proposed estimator.

[1]  D. Wilson,et al.  Performance bounds for acoustic direction-of-arrival arrays operating in atmospheric turbulence , 1998 .

[2]  K. C. Ho,et al.  An Accurate Algebraic Closed-Form Solution for Energy-Based Source Localization , 2007, IEEE Transactions on Audio, Speech, and Language Processing.

[3]  Alfred O. Hero,et al.  Energy-based sensor network source localization via projection onto convex sets , 2005, IEEE Transactions on Signal Processing.

[4]  Zhi Wang,et al.  On the Accuracy of Passive Source Localization Using Acoustic Sensor Array Networks , 2017, IEEE Sensors Journal.

[5]  Kutluyil Dogançay,et al.  3D Pseudolinear Target Motion Analysis From Angle Measurements , 2015, IEEE Transactions on Signal Processing.

[6]  Hugh Kennedy,et al.  Effects of coordinate system rotation on two novel closed-from localization estimators using azimuth/elevation , 2013, Proceedings of the 16th International Conference on Information Fusion.

[7]  A. Weiss,et al.  Performance analysis of bearing-only target location algorithms , 1992 .

[8]  Wang Yan,et al.  Acoustic Localization in Multi-path Aware Environments , 2007, 2007 International Conference on Communications, Circuits and Systems.

[9]  Yu Hen Hu,et al.  Passive source localization from array covariance matrices via joint sparse representations , 2017, Neurocomputing.

[10]  K. C. Ho,et al.  An Asymptotically Efficient Estimator in Closed-Form for 3-D AOA Localization Using a Sensor Network , 2015, IEEE Transactions on Wireless Communications.

[11]  K. C. Ho,et al.  A simple and efficient estimator for hyperbolic location , 1994, IEEE Trans. Signal Process..

[12]  Gang Wang,et al.  A Semidefinite Relaxation Method for Energy-Based Source Localization in Sensor Networks , 2011, IEEE Transactions on Vehicular Technology.

[13]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[14]  Kung Yao,et al.  Maximum-likelihood source localization and unknown sensor location estimation for wideband signals in the near-field , 2002, IEEE Trans. Signal Process..

[15]  Yu Hen Hu,et al.  Maximum likelihood multiple-source localization using acoustic energy measurements with wireless sensor networks , 2005, IEEE Transactions on Signal Processing.

[16]  P.N. Pathirana,et al.  Bearing-Only Localization using Geometrically Constrained Optimization , 2009, IEEE Transactions on Aerospace and Electronic Systems.

[17]  Wing-Kin Ma,et al.  A flexible semi-definite programming approach for source localization problems , 2013, Digit. Signal Process..

[18]  Kung Yao,et al.  Maximum-likelihood acoustic source localization: Experimental results , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[19]  K. C. Ho,et al.  An asymptotically unbiased estimator for bearings-only and Doppler-bearing target motion analysis , 2006, IEEE Transactions on Signal Processing.

[20]  S. Kay.  Fundamentals of statistical signal processing: estimation theory , 1993 .

[21]  K. Dogancay,et al.  Instrumental Variable Estimator for 3D Bearings-Only Emitter Localization , 2005, 2005 International Conference on Intelligent Sensors, Sensor Networks and Information Processing.

[22]  Qun Wan,et al.  A Simple and Accurate TDOA-AOA Localization Method Using Two Stations , 2016, IEEE Signal Processing Letters.

[23]  Brian M. Sadler,et al.  Maximum-likelihood array processing in non-Gaussian noise with Gaussian mixtures , 2000, IEEE Trans. Signal Process..

[24]  Xiao-Ping Zhang,et al.  Efficient Closed-Form Algorithms for AOA Based Self-Localization of Sensor Nodes Using Auxiliary Variables , 2014, IEEE Transactions on Signal Processing.

[25]  G. Gu,et al.  A Novel Power-Bearing Approach and Asymptotically Optimum Estimator for Target Motion Analysis , 2011, IEEE Transactions on Signal Processing.

[26]  Baoqi Huang,et al.  TDOA-Based Source Localization With Distance-Dependent Noises , 2015, IEEE Transactions on Wireless Communications.

[27]  R. E. Hudson,et al.  Acoustic sensor networks for woodpecker localization , 2005, SPIE Optics + Photonics.

[28]  K. C. Ho,et al.  Passive Source Localization Using Time Differences of Arrival and Gain Ratios of Arrival , 2008, IEEE Transactions on Signal Processing.

[29]  Xiao-Ping Zhang,et al.  A Novel Location-Penalized Maximum Likelihood Estimator for Bearing-Only Target Localization , 2012, IEEE Transactions on Signal Processing.

[30]  Andreas M. Ali,et al.  An Empirical Study of Collaborative Acoustic Source Localization , 2007, 2007 6th International Symposium on Information Processing in Sensor Networks.

[31]  Thia Kirubarajan,et al.  Multisensor-multitarget bearing-only sensor registration , 2016, IEEE Transactions on Aerospace and Electronic Systems.

[32]  Anthony Finn,et al.  A Novel Closed-Form Estimator for 3D TMA Using Heterogeneous Sensors , 2015, IEEE Transactions on Signal Processing.

[33]  Lance M. Kaplan,et al.  On exploiting propagation delays for passive target localization using bearings-only measurements , 2005, J. Frankl. Inst..

[34]  Daniel James Mennitt,et al.  Multiarray Passive Acoustic Localization and Tracking , 2008 .