Time Reversal Based Active Array Source Localization

Source localization especially direction-of-arrival (DOA) estimation using sensor arrays is of considerable interest in both classical array signal processing and radar applications. Most radar systems are designed under the line-of-sight (LOS) assumption with multipath echos treated as undesired clutter noise. Strong multipath, therefore, has a negative impact on the resolution of the radar systems and their ability in accurately localizing the target. Rather than treating multipath as a detrimental effect, the paper introduces time reversal (TR) to exploit spatial/multipath diversity in improving the capability of the existing localization algorithms. In particular, we design TR based range and DOA estimators that adaptively adjust the probing radar waveforms to the multipath characteristics of the environment. The benefits of the spatial/multipath diversity in the proposed DOA and range estimators are quantified by deriving the respective Cramér-Rao bounds (CRB) and comparing them with the analytical expressions for their conventional counterparts. Numerical simulations also confirm the benefit of applying TR to source localization algorithms especially at low signal-to-noise ratios below -5 dB.

[1]  Nicholas O'Donoughue,et al.  Time Reversal in Multiple-Input Multiple-Output Radar , 2010, IEEE Journal of Selected Topics in Signal Processing.

[2]  Bassem Mahafza,et al.  Radar Signal Analysis and Processing Using MATLAB , 2008 .

[3]  Douglas B. Williams,et al.  Using the sphericity test for source detection with narrow-band passive arrays , 1990, IEEE Trans. Acoust. Speech Signal Process..

[4]  M. Fink,et al.  Self focusing in inhomogeneous media with time reversal acoustic mirrors , 1989, Proceedings., IEEE Ultrasonics Symposium,.

[5]  José M. F. Moura,et al.  Time-Reversal Detection Using Antenna Arrays , 2009, IEEE Transactions on Signal Processing.

[6]  Amir Asif,et al.  Time-Reversal Ground-Penetrating Radar: Range Estimation With Cramér–Rao Lower Bounds , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[7]  E. Wolf,et al.  Principles of Optics (7th Ed) , 1999 .

[8]  Y. Bar-Shalom,et al.  Bias compensation and tracking with monopulse radars in the presence of multi path , 1997, IEEE Transactions on Aerospace and Electronic Systems.

[9]  Jian Li,et al.  On robust Capon beamforming and diagonal loading , 2003, IEEE Trans. Signal Process..

[10]  Harry L. Van Trees,et al.  Optimum Array Processing , 2002 .

[11]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..

[12]  H. Vincent Poor,et al.  Estimation of the number of sources in unbalanced arrays via information theoretic criteria , 2005, IEEE Transactions on Signal Processing.

[13]  Nicholas O'Donoughue,et al.  Position location by time reversal in communication networks , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[14]  Sinan Gezici,et al.  Ranging in a Single-Input Multiple-Output (SIMO) System , 2008, IEEE Communications Letters.

[15]  Peter M. Schultheiss,et al.  Passive Ranging in Multipath Dominant Environments: Part II-Unknown multipath parameters , 1993, IEEE Trans. Signal Process..

[16]  W. Gregg,et al.  On Optimizing Array Reception of Multipath , 1970, IEEE Transactions on Aerospace and Electronic Systems.

[17]  P. Drummond,et al.  Time reversed acoustics , 1997 .

[18]  S. M. Garber,et al.  High Resolution Sonar Signals in a Multipath Environment , 1966, IEEE Transactions on Aerospace and Electronic Systems.

[19]  H. Akaike A new look at the statistical model identification , 1974 .

[20]  P. Whittle The Analysis of Multiple Stationary Time Series , 1953 .

[21]  Prabhakar S. Naidu,et al.  Sensor Array Signal Processing , 2000 .

[22]  Mahmood R. Azimi-Sadjadi,et al.  Capon beamspace beamforming for distributed acoustic arrays , 2007, SPIE Defense + Commercial Sensing.

[23]  Behrouz Farhang-Boroujeny Sensor Array Processing , 2013 .

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

[25]  Ariela Zeira,et al.  Frequency domain Cramer-Rao bound for Gaussian processes , 1990, IEEE Trans. Acoust. Speech Signal Process..

[26]  H. V. Trees Detection, Estimation, And Modulation Theory , 2001 .

[27]  G. Papanicolaou,et al.  Imaging and time reversal in random media , 2001 .

[28]  José M. F. Moura,et al.  Cramer-Rao bound for location systems in multipath environments , 1991, IEEE Trans. Signal Process..

[29]  Y. Fu,et al.  DOA Imaging Algorithm Based on Time-reversal Theory , 2007, 2007 2nd IEEE Conference on Industrial Electronics and Applications.

[30]  J. Capon High-resolution frequency-wavenumber spectrum analysis , 1969 .

[31]  A. Devaney,et al.  Time-reversal imaging with multiple signal classification considering multiple scattering between the targets , 2004 .

[32]  D. Malacara-Hernández,et al.  PRINCIPLES OF OPTICS , 2011 .