Joint magnitude and phase constrained STAP approach

The performance of space-time adaptive processing (STAP) radar degrades dramatically when the target occurs in the training data. Traditional robust linearly constrained minimum variance (LCMV) STAP method uses magnitude constraint to maintain the mainlobe of the STAP beamformer. In this paper, a joint magnitude and phase constrained (MPC) STAP method is proposed with the phase constraint incorporated in the response vector of the beamformer. The explicit expression of the phase constraint is derived by exploring the conjugate symmetric characteristic of the adaptive weights. With joint magnitude and phase constraints imposed on several discrete points in the mainlobe region, the MPC-STAP approach has good robustness against target contamination. In addition, the linear-phase response can be guaranteed by the proposed method, which provides distortionless response in both spatial and temporal domains. Simulation results are provided to demonstrate the effectiveness of the proposed method. A novel joint magnitude and phase constrained space-time adaptive processing (STAP) method is proposed.The explicit expression of the phase constraint is derived, which guarantees distortionless response of STAP radar.The proposed method is robust against target contamination.

[1]  Sylvie Marcos,et al.  Range dependent clutter rejection using range-recursive space-time adaptive processing (STAP) algorithms , 2010, Signal Process..

[2]  M. Wicks,et al.  Implementing digital terrain data in knowledge-aided space-time adaptive processing , 2006, IEEE Transactions on Aerospace and Electronic Systems.

[3]  Dingjie Xu,et al.  Robust Beamforming with Magnitude Response Constraints and Conjugate Symmetric Constraint , 2013, IEEE Communications Letters.

[4]  Jacques G. Verly,et al.  Geometry-Induced Range-Dependence Compensation for Bistatic STAP with Conformal Arrays , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[5]  M. Fujita,et al.  An adaptive antenna array under directional constraint , 1976 .

[6]  R. Wu,et al.  Control of peak sidelobe level in adaptive arrays , 1996 .

[7]  Z. Yu,et al.  A Novel Adaptive Beamformer Based on Semidefinite Programming (SDP) With Magnitude Response Constraints , 2008, IEEE Transactions on Antennas and Propagation.

[8]  L. J. Griffiths,et al.  A unified approach to the design of linear constraints in minimum variance adaptive beamformers , 1992 .

[9]  B. Carlson Covariance matrix estimation errors and diagonal loading in adaptive arrays , 1988 .

[10]  Diego Cristallini,et al.  A Robust Direct Data Domain Approach for STAP , 2012, IEEE Transactions on Signal Processing.

[11]  Carl D. Meyer,et al.  Matrix Analysis and Applied Linear Algebra , 2000 .

[12]  Hong Wang,et al.  On adaptive spatial-temporal processing for airborne surveillance radar systems , 1994 .

[13]  Braham Himed,et al.  STAP with angle-Doppler compensation for bistatic airborne radars , 2002, Proceedings of the 2002 IEEE Radar Conference (IEEE Cat. No.02CH37322).

[14]  I. Reed,et al.  Rapid Convergence Rate in Adaptive Arrays , 1974, IEEE Transactions on Aerospace and Electronic Systems.

[15]  G. K. Borsari,et al.  Mitigating effects on STAP processing caused by an inclined array , 1998, Proceedings of the 1998 IEEE Radar Conference, RADARCON'98. Challenges in Radar Systems and Solutions (Cat. No.98CH36197).

[16]  Muralidhar Rangaswamy,et al.  Robust adaptive signal processing methods for heterogeneous radar clutter scenarios , 2004, Signal Process..

[17]  Yongliang Wang,et al.  Clutter suppression for airborne phased radar with conformal arrays by least squares estimation , 2011, Signal Process..

[18]  P. P. Vaidyanathan,et al.  Quadratically Constrained Beamforming Robust Against Direction-of-Arrival Mismatch , 2007, IEEE Transactions on Signal Processing.

[19]  Xiang Li,et al.  Adaptive clutter suppression based on iterative adaptive approach for airborne radar , 2013, Signal Process..

[20]  Zhi-Quan Luo,et al.  Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem , 2003, IEEE Trans. Signal Process..

[21]  Wu-Sheng Lu A unified approach for the design of 2-D digital filters via semidefinite programming , 2002 .

[22]  Ruijie Zhao,et al.  On Chebyshev design of linear-phase FIR filters with frequency inequality constraints , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[23]  Yuanqing Li,et al.  Robust Adaptive Beamformers Based on Worst-Case Optimization and Constraints on Magnitude Response , 2009, IEEE Transactions on Signal Processing.

[24]  Keh-Chiarng Huarng,et al.  Adaptive beamforming with conjugate symmetric weights , 1991 .

[25]  Joseph R. Guerci,et al.  Optimal and adaptive reduced-rank STAP , 2000, IEEE Trans. Aerosp. Electron. Syst..

[26]  Richard Klemm,et al.  Space-time adaptive processing , 1998 .

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

[28]  Henry Cox,et al.  Robust adaptive beamforming , 2005, IEEE Trans. Acoust. Speech Signal Process..

[29]  Guisheng Liao,et al.  Robust LCMV beamforming based on phase response constraint , 2012 .

[30]  Harry L. Van Trees,et al.  Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory , 2002 .

[31]  W.L. Melvin,et al.  Adaptive cancellation method for geometry-induced nonstationary bistatic clutter environments , 2007, IEEE Transactions on Aerospace and Electronic Systems.

[32]  K. M. Tsui,et al.  Robust Beamforming With Magnitude Response Constraints Using Iterative Second-Order Cone Programming , 2011, IEEE Transactions on Antennas and Propagation.

[33]  Jeffrey L. Krolik,et al.  The performance of matched-field beamformers with Mediterranean vertical array data , 1996, IEEE Trans. Signal Process..