Signals and Communication Technology Cheng Chi Underwater Real-Time 3D Acoustical Imaging Theory, Algorithm and System Design Signals and Communication Technology Thisseriesisdevotedtofundamentalsandapplicationsofmodernmethodsofsignal processing and cutting-edge communication technologies. The main topics are information and signal theory, acoustical signal processing, image processing and multimedia systems, mobile and wireless communications, and computer and communicationnetworks.Volumesintheseriesaddressresearchersinacademiaand industrial R&D departments. The series is application-oriented. The level of presentation of each individual volume, however, depends on the subject and can range from practical toscientific. “Signals and Communication Technology” is indexed by Scopus. More information about this series at http://www.springer.com/series/4748 Cheng Chi Underwater Real-Time 3D Acoustical Imaging Theory, Algorithm and System Design 123 Cheng Chi AcousticResearch Laboratory, Tropical Marine Science Institute National University ofSingapore Singapore ISSN 1860-4862 ISSN 1860-4870 (electronic) Signals andCommunication Technology ISBN978-981-13-3743-7 ISBN978-981-13-3744-4 (eBook) https://doi.org/10.1007/978-981-13-3744-4 LibraryofCongressControlNumber:2018968372 ©SpringerNatureSingaporePteLtd.2019 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. 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Theregisteredcompanyaddressis:152BeachRoad,#21-01/04GatewayEast,Singapore189721, Singapore To my beloved Yu, my parents and sister Preface Underwater real-time three-dimensional (3-D) acoustical imaging systems are able to capture real-time 3-D acoustical video. Other underwater acoustical imaging systems suchas side-scan andmulti-beam sonars canonly obtaintwo-dimensional (2-D) images. Additionally, compared to underwater optical cameras, underwater real-time 3-D acoustical imaging systems achieve much longer imaging distance. Thus, underwater real-time 3-D acoustical imaging systems are becoming increasingly important in many applications such as underwater construction, pipe inspection, dredging, archaeology, anti-terrorist and diver detection. This book will cover the theory, algorithms and system design of underwater real-time3-Dacousticalimaging.Theexistingunderwaterreal-time3-Dacoustical imaging systems are narrowband. The techniques involved in developing narrow- band systems, such design of large sparse 2-D arrays, fast beamforming are pre- sentedinourbook.Moreimportantly,thisbooksummarizestherecentadvancesin wideband and ultrawideband underwater real-time 3-D acoustical imaging, which will be very useful for developing next-generation underwater real-time 3-D acoustical imaging systems. The simulation technique of underwater real-time 3-D acoustical imaging is also given in this book. It will help readers to learn and develop underwater real-time 3-D acoustical imaging systems fast. In Chap. 1, this book presents an overview of underwater real-time 3-D acoustical imaging. The basic theories of underwater real-time 3-D acoustical imaging are introduced in Chap. 2. Chapter 3 shows the fast 3-D beamforming methodsforunderwaterreal-time3-Dacousticalimaging.Thedesigntechniquesof large sparse 2-D arrays of underwater 3-D acoustical imaging, including narrow- band, wideband and ultrawideband, are presented and discussed in Chap. 4. The simulationtechniquefordesigningthese3-DsystemsisgiveninChap.5.Thesteps ofdesigningunderwaterreal-time3-DacousticalsystemsarepresentedinChap.6. Finally, this book outlines the future research potentials in Chap. 7. Singapore Cheng Chi November 2018 vii Acknowledgements The author would like to express my sincere thanks to Prof. Zhaohui Li, Prof.RenqianWang,Prof.QihuLi,Prof.JiyuanLiu,Dr.PengWang,Dr.JianCui, Dr. Yang Zhang, Dr. Yu Hao and Dr. Pallayil Venugopalan. The author thanks the editors of this series and the Springer team for their valuable guidance and assistance. ix Contents 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Underwater Real-Time 3-D Acoustical Imaging Systems . . . . . . . 1 1.1.1 Practical Systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.2 Systems at Simulation Stages . . . . . . . . . . . . . . . . . . . . . . 6 1.1.3 Summary of the Systems . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.2 Key Techniques in Developing Underwater Real-Time 3-D Imaging Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.3 Structure of This Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2 Basic Theory for Underwater Real-Time 3-D Acoustical Imaging. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.1 Data Model for Underwater Real-Time 3-D Imaging . . . . . . . . . . 11 2.2 Imaging Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.2.1 Beamforming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.2.2 Acoustic Holography . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.2.3 Summary of the Imaging Methods . . . . . . . . . . . . . . . . . . 17 2.3 Parameters for Underwater Real-Time 3-D Acoustical Imaging Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.4 Image Displaying . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3 Fast 3-D Beamforming Methods. . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.1 Basic Beamforming Theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.1.1 Time-Domain Delay-and-Sum Beamforming . . . . . . . . . . . 23 3.1.2 Frequency-Domain Direct Beamforming . . . . . . . . . . . . . . 24 3.1.3 Delay Approximation. . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2 General Techniques for Different Beamforming Methods . . . . . . . 26 3.2.1 Dynamic Focusing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.2.2 Partial Overlapping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 xi xii Contents 3.3 Time-Domain FFT Beamforming. . . . . . . . . . . . . . . . . . . . . . . . . 28 3.4 CZT Beamforming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3.5 NUFFT 3-D Beamforming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3.5.1 NUFFT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3.5.2 Beamforming with NUFFT . . . . . . . . . . . . . . . . . . . . . . . 37 3.5.3 Accuracy Evaluation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3.6 Compuational Load for Direct Method, CZT and NUFFT Beamforming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 3.6.1 Equispaced 2-D Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . 45 3.6.2 Arbitrary 2-D Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 3.6.3 Comparison. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 3.6.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 4 Design of Underwater Large Sparse 2-D Arrays . . . . . . . . . . . . . . . 55 4.1 Concept of Designing Large 2-D Arrays for Underwater 3-D Imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 4.2 Narrowband 2-D Array. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 4.2.1 Definition of Narrowband Beam Pattern . . . . . . . . . . . . . . 56 4.2.2 Design Based on Simulated Annealing . . . . . . . . . . . . . . . 57 4.3 Fast Computation of Wideband Beam Pattern . . . . . . . . . . . . . . . 58 4.3.1 Definition of Wideband Beam Pattern. . . . . . . . . . . . . . . . 59 4.3.2 Fast Computation Method . . . . . . . . . . . . . . . . . . . . . . . . 60 4.3.3 Performance Evaluation . . . . . . . . . . . . . . . . . . . . . . . . . . 65 4.4 Wideband Design. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 4.4.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 4.4.2 Design Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 4.4.3 Performance of the Designed Array . . . . . . . . . . . . . . . . . 72 4.5 UWB Ultrasparse 2-D Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 4.5.1 Feasibility of Using theUWB Techniquefor Underwater 3-D Imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 4.5.2 Directivity of UWB 2-D Arrays . . . . . . . . . . . . . . . . . . . . 77 4.5.3 Modulation Technique for Improving SNR . . . . . . . . . . . . 81 4.5.4 Simulation for Ultrasparse UWB 3-D Imaging . . . . . . . . . 84 4.6 Ultralarge Ultrasparse UWB 2-D Arrays . . . . . . . . . . . . . . . . . . . 86 4.6.1 Concept . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4.6.2 Directivity of Ultralarge Ultrasparse UWB 2-D Arrays . . . 89 4.6.3 Simulation for High-Resolution UWB Underwater 3-D Imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
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