Nested Array Sensor With Grating Lobe Suppression and Arbitrary Transmit–Receive Beampattern Synthesis

Sparse arrays have potential advantages over their regularly spaced counterparts, but they will generate undesired grating lobes. This paper investigates a sparse linear phased-array for grating lobe suppression and arbitrary transmit–receive beampattern synthesis. To achieve these aims, a modified two-level nested-array is developed, which provides increased degrees-of-freedom than a standard uniform linear array with the same number of elements via the difference co-array processing algorithm in the receiver. A least squares and iterative algorithm is also devised for linear array arbitrary transmit–receive beampattern design with minimum number of antenna elements. Moreover, the nested-array design is exploited for minimum variance distortionless response adaptive beamforming and direction finding. The effectiveness of the proposed approach is verified through extensive numerical results.

[1]  Jing Liang,et al.  Design and Analysis of Distributed Radar Sensor Networks , 2011, IEEE Transactions on Parallel and Distributed Systems.

[2]  P. P. Vaidyanathan,et al.  Nested Arrays in Two Dimensions, Part I: Geometrical Considerations , 2012, IEEE Transactions on Signal Processing.

[3]  P. P. Vaidyanathan,et al.  A novel array structure for directions-of-arrival estimation with increased degrees of freedom , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[4]  P. P. Vaidyanathan,et al.  Beamforming using passive nested arrays of sensors , 2010, Proceedings of 2010 IEEE International Symposium on Circuits and Systems.

[5]  Arye Nehorai,et al.  Maximum Likelihood Direction Finding in Spatially Colored Noise Fields Using Sparse Sensor Arrays , 2011, IEEE Transactions on Signal Processing.

[6]  Sergiy A. Vorobyov,et al.  Maximum likelihood direction-of-arrival estimation in unknown noise fields using sparse sensor arrays , 2005, IEEE Transactions on Signal Processing.

[7]  John R. Buck,et al.  Extending coprime sensor arrays to achieve the peak side lobe height of a full uniform linear array , 2014, EURASIP J. Adv. Signal Process..

[8]  Randy L. Haupt,et al.  Unit circle representation of aperiodic arrays , 1995 .

[9]  R. T. Hoctor,et al.  The unifying role of the coarray in aperture synthesis for coherent and incoherent imaging , 1990, Proc. IEEE.

[10]  Paul V. Brennan,et al.  Grating lobe control in randomised, sparsely populated MIMO radar arrays , 2012 .

[11]  Bin Guo,et al.  Coherence, Compressive Sensing, and Random Sensor Arrays , 2011, IEEE Antennas and Propagation Magazine.

[12]  S. Mitra,et al.  General polynomial factorization-based design of sparse periodic linear arrays , 2010, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[13]  Thomas A. Baran,et al.  Linear Programming Algorithms for Sparse Filter Design , 2010, IEEE Transactions on Signal Processing.

[14]  Z. Yu,et al.  Linear Aperiodic Array Synthesis Using an Improved Genetic Algorithm , 2012, IEEE Transactions on Antennas and Propagation.

[15]  C.J. Baker,et al.  MIMO radar topology: A systematic approach to the placement of the antennas , 2011, 2011 International Conference on Electromagnetics in Advanced Applications.

[16]  Andrea Massa,et al.  Genetic algorithm (GA)-enhanced almost difference set (ADS)-based approach for array thinning , 2011 .

[17]  Alex B. Gershman,et al.  Sparse Array Design for Azimuthal Direction-of-Arrival Estimation , 2011, IEEE Transactions on Signal Processing.

[18]  P. P. Vaidyanathan,et al.  Coprime DFT filter bank design: Theoretical bounds and guarantees , 2015, 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[19]  A. Massa,et al.  Synthesis of Nonuniform MIMO Arrays Through Combinatorial Sets , 2012, IEEE Antennas and Wireless Propagation Letters.

[20]  Chong-Yung Chi,et al.  DOA Estimation of Quasi-Stationary Signals With Less Sensors Than Sources and Unknown Spatial Noise Covariance: A Khatri–Rao Subspace Approach , 2010, IEEE Transactions on Signal Processing.

[21]  Jian Li,et al.  The Phased Array Is the Maximum SNR Active Array [Lecture Notes] , 2010, IEEE Signal Processing Magazine.

[22]  Henry Cox,et al.  Simultaneous grating lobe and backlobe rejection with a line array of vector sensors , 2009, 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers.

[23]  R. Leahy,et al.  On the design of maximally sparse beamforming arrays , 1991 .

[24]  Pai-Chi Li,et al.  Optimizing the radiation pattern of sparse periodic linear arrays , 1996, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[25]  A. Massa,et al.  A Hybrid Approach Based on PSO and Hadamard Difference Sets for the Synthesis of Square Thinned Arrays , 2009, IEEE Transactions on Antennas and Propagation.

[26]  Wen-Qin Wang,et al.  Multi-Antenna Synthetic Aperture Radar , 2013 .

[27]  A. Massa,et al.  Compressive Sensing Pattern Matching Techniques for Synthesizing Planar Sparse Arrays , 2013, IEEE Transactions on Antennas and Propagation.

[28]  Chong Meng Samson See,et al.  Robust Adaptive Beamforming in Partly Calibrated Sparse Sensor Arrays , 2010, IEEE Transactions on Signal Processing.

[29]  Martin Kleinsteuber,et al.  On the Deterministic CRB for DOA Estimation in Unknown Noise Fields Using Sparse Sensor Arrays , 2008, IEEE Transactions on Signal Processing.

[30]  Athanassios Manikas,et al.  Source Localization Using Sparse Large Aperture Arrays , 2012, IEEE Transactions on Signal Processing.

[31]  Y. Bar-Ness,et al.  A new approach to array geometry for improved spatial spectrum estimation , 1985, Proceedings of the IEEE.

[32]  P. P. Vaidyanathan,et al.  Nested Arrays: A Novel Approach to Array Processing With Enhanced Degrees of Freedom , 2010, IEEE Transactions on Signal Processing.

[33]  Nan Hu,et al.  DOA Estimation for Sparse Array via Sparse Signal Reconstruction , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[34]  Athanassios Manikas,et al.  Virtual SIMO radar modelling in arrayed MIMO radar , 2012 .

[35]  Wen-Qin Wang,et al.  Nested array receiver with time-delayers for joint target range and angle estimation , 2016 .

[36]  Y. Rahmat-Samii,et al.  Subarray Design Diagnostics for the Suppression of Undesirable Grating Lobes , 2012, IEEE Transactions on Antennas and Propagation.

[37]  D. Leeper,et al.  Isophoric arrays-massively thinned phased arrays with well-controlled sidelobes , 1999 .

[38]  A. Massa,et al.  Bayesian Compressive Sampling for Pattern Synthesis With Maximally Sparse Non-Uniform Linear Arrays , 2011, IEEE Transactions on Antennas and Propagation.

[39]  Tamara G. Kolda,et al.  Tensor Decompositions and Applications , 2009, SIAM Rev..

[40]  Sam Kwong,et al.  Genetic algorithms and their applications , 1996, IEEE Signal Process. Mag..

[41]  Kenbu Teramoto,et al.  Reduction of the grating lobes in sparse array holographic sonar by projection onto convex sets , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.