Far‐field DOA estimation and near‐field localization for multipath signals

In direction finding and localization applications, multipath signals are important sources of error for parameter estimation. When the antenna array receives multipath reflections which are coherent with the far-field line-of-sight signal, estimating the far- and near-field components becomes an important problem. In this paper, a new method is proposed to estimate the direction-of-arrival (DOA) of the far-field source and to localize its near-field multipaths. Far-field source DOA is estimated using calibration of the antenna array. A near-to-far transformation is proposed for the estimation of the near-field source DOA angles. In order to estimate the near-field range parameters, a compressive sensing approach is presented where a dictionary with near-field sources with different ranges is employed. As a result, the proposed method estimates the far-field and near-field source DOAs as well as the range and the signal amplitudes of the near-field sources. This method is evaluated using close-to-real world data generated by a numerical electromagnetic tool, where the array and transmitter are placed in an irregular terrain and array data are generated using full 3-D propagation model. It is shown that unknown source parameters can be estimated effectively showing the potential of the proposed approach in applications involving high-frequency direction finding and indoor localization.

[1]  Hongyang Chen,et al.  JOINT AZIMUTH-ELEVATION/(-RANGE) ESTIMATION OF MIXED NEAR-FIELD AND FAR-FIELD SOURCES USING TWO-STAGE SEPARATED STEERING VECTOR-BASED ALGORITHM , 2011, Progress In Electromagnetics Research.

[2]  Emmanuel J. Candès,et al.  Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? , 2004, IEEE Transactions on Information Theory.

[3]  Ding Liu,et al.  Passive Localization of Mixed Near-Field and Far-Field Sources Using Two-stage MUSIC Algorithm , 2010, IEEE Transactions on Signal Processing.

[4]  Lena Chang Signal Subspace Transformation for Direction-of-Arrival Estimation of Wideband Sources in Near Field , 2010 .

[5]  Kainam Thomas Wong,et al.  Mismatch of Near-Field Bearing-Range Spatial Geometry in Source-Localization by a Uniform Linear Array , 2011, IEEE Transactions on Antennas and Propagation.

[6]  M. Omair Ahmad,et al.  Efficient Application of MUSIC Algorithm Under the Coexistence of Far-Field and Near-Field Sources , 2012, IEEE Transactions on Signal Processing.

[7]  Igal Bilik,et al.  Spatial Compressive Sensing for Direction-of-Arrival Estimation of Multiple Sources using Dynamic Sensor Arrays , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[8]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[9]  T. Engin Tuncer,et al.  Measurement reduction for mutual coupling calibration in DOA estimation , 2012 .

[10]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[11]  Yimin Zhang,et al.  Range and DOA estimation of polarized near-field signals using fourth-order statistics , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[12]  Yonina C. Eldar,et al.  Structured Compressed Sensing: From Theory to Applications , 2011, IEEE Transactions on Signal Processing.

[13]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[14]  Wee Peng Tay,et al.  Localization for mixed near-field and far-field sources using data supported optimization , 2012, 2012 15th International Conference on Information Fusion.

[15]  Mohammed Nabil El Korso,et al.  Deterministic Performance Bounds on the Mean Square Error for Near Field Source Localization , 2013, IEEE Transactions on Signal Processing.

[16]  Mats Viberg,et al.  Calibration in Array Processing , 2009 .

[17]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[18]  Bernard Mulgrew,et al.  Performance of spatial smoothing algorithms for correlated sources , 1996, IEEE Trans. Signal Process..

[19]  Bo-sheng Liu,et al.  DOA estimation for the near-field correlated sources with interpolated array technique , 2009, 2009 4th IEEE Conference on Industrial Electronics and Applications.

[20]  T. Engin Tuncer,et al.  A fast and automatically paired 2-D direction-of-arrival estimation with and without estimating the mutual coupling coefficients , 2010 .

[21]  Benjamin Friedlander,et al.  Performance analysis of higher order ESPRIT for localization of near-field sources , 1998, IEEE Trans. Signal Process..

[22]  Sana Salous,et al.  Radio Channel Sounders , 2013 .

[23]  T. Engin Tuncer,et al.  Calibration of antenna arrays for aeronautical vehicles on ground , 2013 .

[24]  Xiaoying Sun,et al.  Efficient Method of Passive Localization for Mixed Far-Field and Near-Field Sources , 2013, IEEE Antennas and Wireless Propagation Letters.

[25]  Yan-chao Li,et al.  Mixed Near-Field and Far-Field Sources Localization Using the Uniform Linear Sensor Array , 2013, IEEE Sensors Journal.

[26]  E. Candès,et al.  Stable signal recovery from incomplete and inaccurate measurements , 2005, math/0503066.

[27]  Bo Wang,et al.  Mixed-Order MUSIC Algorithm for Localization of Far-Field and Near-Field Sources , 2013, IEEE Signal Processing Letters.

[28]  Takehiro Miyamoto,et al.  Modified calibration method for MUSIC method with an array antenna , 2007 .

[29]  Bo Wang,et al.  Mixed Sources Localization Based on Sparse Signal Reconstruction , 2012, IEEE Signal Processing Letters.

[30]  Igal Bilik,et al.  Spatial Compressive Sensing for Direction-of-Arrival Estimation With Bias Mitigation Via Expected Likelihood , 2013, IEEE Transactions on Signal Processing.