| Citation: | YU Difei, HUANG Haining, ZHANG Chunhua, WU Changrui . The Design of Sub Region FFT Beam Forming Algorithm of 3D-sonar[J]. Journal of Electronics & Information Technology, 2017, 39(9): 2175-2181. doi: 10.11999/JEIT161132 | 
 
	                | LI Bin, JIN Lijun, HONG Jia, et al. Application of three- dimension imaging sonar technology in detection of underwater structure[J]. Journal of Water Resources  Water Engineering, 2015, 26(3): 184-188. doi: 10.11705/j.issn. 1672-643X.2015.03.38. | 
| 李斌, 金利军, 洪佳, 等. 三维成像声纳技术在水下结构探测中的应用[J]. 水资源与水工程学报, 2015, 26(3): 184-188. doi: 10. 11705/j.issn.1672-643X.2015.03.38. | 
| 王朋. 基于稀疏布阵的三维成像声纳信号处理算法研究[D]. [博士论文], 中国科学院大学, 2015: 40-90. | 
| WANG Peng. Research on signal processing algorithm of three-dimensional acoustical imaging sonar based on sparse planar array [D]. [Ph.D. dissertation], Graduate University of Chinese Academy of Sciences, 2015: 40-90. | 
| 袁龙涛. 相控阵三维摄像声纳系统信号处理关键技术研究[D]. [博士论文], 浙江大学, 2013: 67-83. | 
| YUAN Longtao. Research on key technologies of signal processing for phased array three-dimensional imaging sonar system [D]. [Ph.D. dissertation], Zhejiang University, 2013: 67-83. | 
| 陈朋. 相控阵三维成像声纳系统的稀疏阵及波束形成算法研究[D]. [博士论文], 浙江大学, 2009: 61-79. | 
| CHEN Peng. Research on sparse array and beamforming algorithm for phased array three-dimensional imaging sonar system[D]. [Ph.D. dissertation], Zhejiang University, 2009: 61-79. | 
| 李启虎. 声呐信号处理引论[M]. 北京: 海洋出版社, 2000: 222-224. | 
| LI Qihu. Introduction to Sonar Signal Processing [M]. Beijing: China Ocean Press, 2000: 222-224. | 
| HAMPSON G and PAPLINSKI A. phase shift beamforming using Cordic[C]. International Symposium on Signal Processing and Its Applications, ISSPA, Gold Coast, Austrilia, 1996: 684-687. | 
| 印明明, 刘平香. GPU实现水下三维成像研究[J]. 声学技术, 2014, 33(5): 53-57. | 
| YIN Mingming and LIU Pingxiang. Study on 3D image sonar based on GPU[J]. Technical Acoustics, 2014, 33(5): 53-57. | 
| 胡将. 基于Kintex-7的三维声学成像主信号处理系统硬件设计[D]. [硕士论文], 浙江大学, 2016: 17-47. | 
| HU Jiang. Hardware design of three-dimensional acoustic imaging main signal processing system based on Kintex-7[D]. [Master dissertation], Zhejiang University, 2016: 17-47. | 
| PALMESE M and TRUCCO A. Three-dimensional acoustic imaging by Chirp Zeta transform digital beamforming[J]. IEEE Transactions on Instrumentation and Measurement. 2009, 58(7): 2080-2086. doi:  10.1109/TIM.2009.2015523. | 
| CHI Cheng, LI Zhaohui, and LI Qihu. Fast broadband beamforming using nonuniform fast Fourier transform for underwater real-time 3-D acoustical imaging[J]. IEEE Journal of Oceanic Engineering, 2016, 41(2): 249-261. doi:  10.1109/JOE.2015.2429251. | 
| 王朋, 张扬帆, 黄勇, 等. 基于稀疏布阵的实时三维成像声纳系统[J]. 仪器仪表学报, 2016, 37(4): 843-851. | 
| WANG Peng, ZHANG Yangfan, HUANG Yong, et al. Real- time 3D acoustical imaging sonar system based on sparse planar array[J]. Chinese Journal of Scientific Instrument, 2016, 37(4): 843-851. | 
| 王继强. 集合覆盖问题的模型与算法[J]. 计算机工程与应用, 2013, 49(17): 15-17. doi:  10.3778/j.issn.1002-8331.1303-0383. | 
| WANG Jiqiang. Model and algorithm for set cover problem[J]. Computer Engineering and Applications, 2013, 49(17): 15-17. doi:  10.3778/j.issn.1002-8331.1303-0383. | 
| ZHANG Xinyang, ZHANG Jun, GONG Yuejiao, et al. Kuhn- Munkres parallel genetic algorithm for the set cover problem and its application to large-scale wireless sensor networks[J]. IEEE Transactions on Evolutionary Computation, 2016, 20(5): 695-710. doi:  10.1109/TEVC.2015.2511142. | 
| MAHMOUD Owais, MOSTAFA K, and GHADA Moussa. Multi-objective transit route network design as set covering problem[J]. IEEE Transactions on Intelligent Transportation System, 2016, 17(3): 670-679. doi: 10.1109/TITS.2015. 2480885. | 
| XU Yihu and LIM Myongseob. Split-radix FFT pruning for the reduction of computational complexity in OFDM based cognitive radio system[C]. Proceedings of the IEEE International Symposium on Circuits and Systems(ISCAS), Paris, 2010: 69-72. doi:  10.1109/ISCAS.2010.5537048. | 
| 程静静. 阵列幅相误差校正及实现研究[D]. [硕士论文], 南京理工大学, 2014: 36-53. | 
| CHENG Jingjing. Research on implementation of array gain and phase error calibraion[D]. [Master dissertation], Nanjing University of Science and Technology, 2014: 36-53. | 
