Optimized Design for Sparse Cross Arrays in Both Near-Field and Far-Field

Two-dimensional arrays are required to generate 3-D acoustic images in both near-field and far-field regions. However, almost all of the sparse methods, which decrease the number of elements, only synthesize the 2-D sparse arrays in far-field conditions. In this paper, a novel method is proposed for optimizing sparse array in both near-field and far-field conditions that improving the sparseness of the optimized array. First, a new energy function is proposed and successfully synthesizes sparse arrays in both near-field and far-field conditions. The simplified form of the new energy function is then presented for cutting down computational load during optimization process. Second, the nongrid sparse array technology, which connotes irregular element positioning, is introduced into the simulated annealing algorithm to extensively reduce the number of active elements. Finally, the optimized method is demonstrated through designing a cross array with 100 + 100 elements. The results show notable improvements on the array characteristics in random working distances over those reported in the literature.

[1]  Andrea Trucco,et al.  Three-Dimensional Acoustic Imaging by Chirp Zeta Transform Digital Beamforming , 2009, IEEE Transactions on Instrumentation and Measurement.

[2]  M Palmese,et al.  An Efficient Digital CZT Beamforming Design for Near-Field 3-D Sonar Imaging , 2010, IEEE Journal of Oceanic Engineering.

[3]  Andrea Trucco,et al.  Devising an Affordable Sonar System for Underwater 3-D Vision , 2008, IEEE Transactions on Instrumentation and Measurement.

[4]  L. J. Ziomek.  Three necessary conditions for the validity of the Fresnel phase approximation for the near-field beam pattern of an aperture , 1993 .

[5]  R. Hansen,et al.  Focal region characteristics of focused array antennas , 1985 .

[6]  Hong Zhou,et al.  Synthesis of extreme sparse array for real-time 3D acoustic imaging , 2015 .

[7]  A. Davis,et al.  High speed underwater inspection for port and harbour security using Coda Echoscope 3D sonar , 2005, Proceedings of OCEANS 2005 MTS/IEEE.

[8]  Marco Crocco,et al.  Low-Cost Acoustic Cameras for Underwater Wideband Passive Imaging , 2015, IEEE Journal of Oceanic Engineering.

[9]  Yaowu Chen,et al.  Optimization of the Digital Near-Field Beamforming for Underwater 3-D Sonar Imaging System , 2010, IEEE Transactions on Instrumentation and Measurement.

[10]  Xiaodong Wang,et al.  Monte Carlo methods for signal processing: a review in the statistical signal processing context , 2005, IEEE Signal Processing Magazine.

[11]  Andrea Trucco,et al.  Design of a sparse planar array for optimized 3D medical ultrasound imaging , 2015, 2015 23rd European Signal Processing Conference (EUSIPCO).

[12]  Andrea Trucco,et al.  Pruned Chirp Zeta Transform Beamforming for 3-D Imaging With Sparse Planar Arrays , 2014, IEEE Journal of Oceanic Engineering.

[13]  Marco Donald Migliore,et al.  An Effective Compressed-Sensing Inspired Deterministic Algorithm for Sparse Array Synthesis , 2018, IEEE Transactions on Antennas and Propagation.

[14]  Piero Tortoli,et al.  Wideband 2-D Array Design Optimization With Fabrication Constraints for 3-D US Imaging , 2017, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.

[15]  Peng Chen,et al.  Optimized Simulated Annealing Algorithm for Thinning and Weighting Large Planar Arrays in Both Far-Field and Near-Field , 2011 .

[16]  Piero Tortoli,et al.  2-D Ultrasound Sparse Arrays Multidepth Radiation Optimization Using Simulated Annealing and Spiral-Array Inspired Energy Functions , 2016, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.

[17]  Andrea Trucco.  A least-squares approximation for the delays used in focused beamforming , 1998 .

[18]  Randy L. Haupt,et al.  Thinned arrays using genetic algorithms , 1993, Proceedings of IEEE Antennas and Propagation Society International Symposium.

[19]  A. Massa,et al.  Complex-Weight Sparse Linear Array Synthesis by Bayesian Compressive Sampling , 2012, IEEE Transactions on Antennas and Propagation.

[20]  A. Trucco,et al.  Thinning and weighting of large planar arrays by simulated annealing , 1999, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[21]  M.G. Amin,et al.  Design and implementation of near-field, wideband synthetic aperture beamformers , 2004, IEEE Transactions on Aerospace and Electronic Systems.

[22]  P. Pirinoli,et al.  Modified Compact Genetic Algorithm for Thinned Array Synthesis , 2016, IEEE Antennas and Wireless Propagation Letters.

[23]  Paolo Rocca,et al.  Compressive Sensing in Electromagnetics - A Review , 2015, IEEE Antennas and Propagation Magazine.

[24]  R. Macphie,et al.  A mills cross multiplicative array with the power pattern of a conventional planar array , 2007, 2007 IEEE Antennas and Propagation Society International Symposium.

[25]  R. McCauley,et al.  Visualizing Samsonfish (Seriola hippos) with a Reson 7125 Seabat multibeam sonar , 2013 .

[26]  Piero Tortoli,et al.  Design of Optimal 2-D Nongrid Sparse Arrays for Medical Ultrasound , 2013, IEEE Transactions on Biomedical Engineering.

[27]  Fan Zhou,et al.  A Real-Time 3-D Underwater Acoustical Imaging System , 2014, IEEE Journal of Oceanic Engineering.

[28]  Hong Zhou,et al.  A Low-Complexity Real-Time 3-D Sonar Imaging System With a Cross Array , 2016, IEEE Journal of Oceanic Engineering.

[29]  J. Sutton.  Underwater acoustic imaging , 1979, Proceedings of the IEEE.

[30]  A. Trucco,et al.  Three-dimensional image generation and processing in underwater acoustic vision , 2000, Proceedings of the IEEE.