Parameter estimation based on Hough transform for airborne radar with conformal array

Abstract Signal parameter estimation like direction of arrival (DOA), polarization and Doppler frequency for conformal arrays with a reasonable computational effort is cumbersome, because conformal arrays have complex steering vectors without Vandermonde structure but involves distinct antenna patterns. To this end, we propose a fast estimation algorithm which enjoys computational benefit stemming from processing in fractal dimension and the Hough transform. Firstly, we obtain rough DOA estimations via the Hough transform using the covariance matrix phases, on the basis of a devised systematic scheme of ambiguity resolving. Subsequently, polarization is obtained through a rank reduced problem with DOA substituted. Precision improves by iteration and alternative optimization between DOA and polarization. Thirdly, we calculate the Doppler frequency with the temporal covariance matrix. Simulations validate that the proposed algorithm outperforms existing algorithms for slightly lower computation complexity and sufficient precision.

[1]  Weiwei Hu.  Two-dimensional DOA estimation for compact UCA with channel phase inconsistency via dimension reduction method , 2020, Signal Process..

[2]  Miriam A. Doron,et al.  Wavefield modeling and array processing .I. Spatial sampling , 1994, IEEE Trans. Signal Process..

[3]  Bin Liao,et al.  A Generalized Algorithm for Fast Two-Dimensional Angle Estimation of a Single Source With Uniform Circular Arrays , 2012, IEEE Antennas and Wireless Propagation Letters.

[4]  Na Wu,et al.  DOA and Polarization Estimation Using an Electromagnetic Vector Sensor Uniform Circular Array Based on the ESPRIT Algorithm , 2016, Sensors.

[5]  Haoming Shen,et al.  Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular Array , 2018, Sensors.

[6]  Forouhar Farzaneh,et al.  DOA error estimation in 3D cylindrical dipole array geometries including the mutual coupling effect , 2018 .

[7]  Guoqiang Mao,et al.  Direction-of-Arrival Estimation for Coprime Array via Virtual Array Interpolation , 2018, IEEE Transactions on Signal Processing.

[8]  Armin Ghani,et al.  Direction-of-Arrival Estimation in Conformal Microstrip Patch Array Antenna , 2018, IEEE Transactions on Antennas and Propagation.

[9]  Wentao Du,et al.  Clutter space-time covariance matrix estimate based on multi-polarised data , 2014 .

[10]  Xiang-Gen Xia,et al.  Ground Maneuvering Target Imaging and High-Order Motion Parameter Estimation Based on Second-Order Keystone and Generalized Hough-HAF Transform , 2017, IEEE Transactions on Geoscience and Remote Sensing.

[11]  Anthony J. Weiss,et al.  Direction finding for diversely polarized signals using polynomial rooting , 1993, IEEE Trans. Signal Process..

[12]  Michael D. Zoltowski,et al.  Eigenstructure techniques for 2-D angle estimation with uniform circular arrays , 1994, IEEE Trans. Signal Process..

[13]  Björn E. Ottersten,et al.  Array interpolation and bias reduction , 2004, IEEE Transactions on Signal Processing.

[14]  Jianxin Wu,et al.  A knowledge aided SPICE space time adaptive processing method for airborne radar with conformal array , 2018, Signal Process..

[15]  Longting Huang,et al.  Fast algorithm for three-dimensional single near-field source localization with uniform circular array , 2011, Proceedings of 2011 IEEE CIE International Conference on Radar.

[16]  Chengwei Zhou,et al.  Off-Grid Direction-of-Arrival Estimation Using Coprime Array Interpolation , 2018, IEEE Signal Processing Letters.

[17]  L. Josefsson,et al.  Conformal array antenna theory and design , 2006 .

[18]  Wong,et al.  Root-MUSIC-based direction-finding and polarization estimation using diversely polarized possibly collocated antennas , 2004, IEEE Antennas and Wireless Propagation Letters.

[19]  Guisheng Liao,et al.  An Efficient Calibration Algorithm for Large Aperture Array Position Errors in a GEO SAR , 2018, IEEE Geoscience and Remote Sensing Letters.

[20]  Michael D. Zoltowski,et al.  Real-time frequency and 2-D angle estimation with sub-Nyquist spatio-temporal sampling , 1994, IEEE Trans. Signal Process..

[21]  Visa Koivunen,et al.  Unified Array Manifold Decomposition Based on Spherical Harmonics and 2-D Fourier Basis , 2010, IEEE Transactions on Signal Processing.

[22]  Zhen Liu,et al.  Ambiguity Resolution for Phase-Based 3-D Source Localization under Fixed Uniform Circular Array , 2017, Sensors.

[23]  Wang Yanfei,et al.  Detect and autofocus the moving target by its range walk in time domain , 2011, 2011 International Conference on Wireless Communications and Signal Processing (WCSP).

[24]  Visa Koivunen,et al.  DoA and Polarization Estimation for Arbitrary Array Configurations , 2012, IEEE Transactions on Signal Processing.

[25]  Saeid R. Seydnejad,et al.  Blind Beamforming for Conformal Arrays , 2017, IEEE Antennas and Wireless Propagation Letters.

[26]  Qinghua Huang,et al.  Two-Step Spherical Harmonics ESPRIT-Type Algorithms and Performance Analysis , 2018, IEEE/ACM Transactions on Audio, Speech, and Language Processing.

[27]  K. T. Wong,et al.  Self-initiating MUSIC-based direction finding and polarization estimation in spatio-polarizational beamspace , 2000 .

[28]  Visa Koivunen,et al.  DoA Estimation Via Manifold Separation for Arbitrary Array Structures , 2007, IEEE Transactions on Signal Processing.

[29]  Dariush Abbasi-Moghadam,et al.  DOA estimation in conformal arrays based on the nested array principles , 2016, Digit. Signal Process..

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

[31]  Shiwen Yang,et al.  Practical Implementation of Wideband and Wide-Scanning Cylindrically Conformal Phased Array , 2019, IEEE Transactions on Antennas and Propagation.

[32]  P. Stoica,et al.  The stochastic CRB for array processing: a textbook derivation , 2001, IEEE Signal Processing Letters.