Abstract
Multireceiver synthetic aperture sonar (SAS) can produce high-resolution images by coherently superposing successive echoed signal. However, multireceiver SAS imaging is a difficult issue since the system can be divided into many bistatic SASs. Traditional imaging algorithms cannot be directly used to process the multireceiver SAS echoed signal, as they are just applied to monostatic sonar system. In order to solve this issue, this paper proposes an imaging algorithm based on Loffeld’s bistatic formula (LBF) for multireceiver SAS system. With the LBF method, the point target reference spectrum (PTRS) of multireceiver SAS system can be split into quasi-monostatic term and the bistatic deformation term. The quasi-monostatic term is similar to the spectrum of monostatic SAS while the bistatic deformation term is caused by the displacement of transmitter and receiver. In this paper, the data of multireceiver SAS is firstly coerced into monostatic one by compensating the bistatic deformation term. After this step, the chirp scaling (CS) algorithm based on monostatic SAS can be directly applied. At last, simulations are exploited to demonstrate the presented method. Compared to traditional multireceiver SAS CS algorithms, the presented method significantly improves the imaging performance. Both ghosts target and higher sidelobes that traditional multireceiver SAS CS algorithms suffer from can be successfully suppressed. Furthermore, the presented method can obtain high-resolution results which are nearly identical to the benchmark of BP algorithm.
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Data availability
The datasets generated and analyzed during the current study are available from the corresponding author on reasonable request.
References
Berthomier T, Williams DP, d'Alès B, Dugelay S (2020) Exploiting auxiliary information for improved underwater target classification with convolutional neural networks. Global Oceans 2020: Singapore – US Gulf Coast., Biloxi, p 1–10
Zhang X, Ying W, Yang P, Sun M (2020) Parameter estimation of impulsive noise with Class B model. IET Radar Sonar Navig 14:1055–1060
Köhntopp D, Lehmann B, Kraus D, Birk A (2019) Classification and Localization of Naval Mines With Superellipse Active Contours. IEEE J Ocean Eng 44:767–782
Klausner NH, Azimi-Sadjadi MR (2020) Performance Prediction and Estimation for Underwater Target Detection Using Multichannel Sonar. IEEE J Ocean Eng 45:534–546
Zhang X, Yang P, Sun M (2022) Experiment results of a novel sub-bottom profiler using synthetic aperture technique. Curr Sci 122:461–464
Belkacem A, Chemkha H, Smaoui H (2020) Generalization of Planar SAS to Irregular 2D Grid of a Top View Sonar. 2020 17th International Multi-Conference on Systems, Signals & Devices (SSD). Monastir, Tunisia, p 933–938
Steele S, Charron R, Dillon J, Shea D (2019) Shallow water survey with a miniature synthetic aperture sonar. MTS/IEEE Oceans Conference, Seattle, p 1–6
Romaine PD, Olson DR, Cobb JT (2019) Analysis of backscatter measurements from calibrated synthetic aperture sonar images. MTS/IEEE Oceans Conference, Seattle, WA, USA, p. 1–6
Tan C, Zhang X, Yang P, Sun M (2019) A novel sub-bottm profiler and signal processor. Sensors 19:5052
Carballini J, Viana F (2015) Using synthetic aperture sonar as an effective tool for pipeline inspection survey projects. 2015 IEEE/OES Acoustics in Underwater Geosciences Symposium (RIO Acoustics), Rio de Janeiro, Brazil, p 1–5
Larsen LJ, Wilby A, Stewart C (2010) Deep ocean survey and search using synthetic aperture sonar. 2010 MTS/IEEE Oceans Conference, Seattle, p 1–4
Llort-Pujol G, Sintes C, Lurton X (2007) A new approach for fast and high-resolution interferometric bathymetry. 2006 Oceans Conference, Singapore, p 1–4
Denos K, Ravaut M, Fagette A, Lim H (2017) Deep learning applied to underwater mine warfare. 2017 Oceans Conference, Aberdeen, p 1–7
Nikolovska A (2015) AUV based flushed and buried object detection. 2015 Oceans Conference, Genova, p 1–5
Williams DP (2019) Transfer Learning with SAS-Image Convolutional Neural Networks for Improved Underwater Target Classification. 2019 IEEE International Geoscience and Remote Sensing Symposium, Yokohama, p 78–81
Berthomier T, Williams DP, Dugelay S (2019) Target Localization in Synthetic Aperture Sonar Imagery using Convolutional Neural Networks. 2019 MTS/IEEE Oceans Conference, Seattle, p 1–9
Zhu K, Tian J, Huang H (2018) Underwater object Images Classification Based on Convolutional Neural Network. 2018 IEEE 3rd International Conference on Signal and Image Processing (ICSIP), Shenzhen, p 301–305
Williams DP (2016) Underwater target classification in synthetic aperture sonar imagery using deep convolutional neural networks. 2016 23rd International Conference on Pattern Recognition (ICPR), Cancun, pp 2497–2502
Fernandes VH, Medeiros ND, Rodrigues DD, Neto AA and Oliveira JCd (2020) Semi-automatic identification of submarine pipelines with synthetic aperture sonar images. Mar Geod 43:376–395
Sledge IJ, Emigh MS, King JL, Woods DL, Cobb JT, Principe JC (2022) Target detection and segmentation in circular-scan synthetic aperture sonar images using semisupervised convolutional encoder-decoders. IEEE J Ocean Eng 47:1099–1128
Hayes MP, Gough PT (2009) Synthetic aperture sonar: A review of current status. IEEE J Ocean Eng 34:207–224
Zhang X, Dai X, Yang B (2018) Fast imaging algorithm for the multiple receiver synthetic aperture sonars. IET Radar Sonar Navig 12:1276–1284
Sato T, Ueda M, Fukuda S (1973) Synthetic aperture sonar. J Acoust Soc Am 54:799–802
Zhang X, Yang P (2019) Imaging algorithm for multireceiver synthetic aperture sonar. J Electr Eng Technol 14:471–478
Hughes R (1977) Sonar imaging with the synthetic aperture technique. 1977 Oceans Conference, Los Angeles, p 102–106
Zhang X, Ying W (2022) Influence of the element beam pattern on synthetic aperture sonar imaging. Geomatics Inf Sci Wuhan Univ 47:133–140
Rolt KD, HS (1992) Azimuthal ambiguities in synthetic aperture sonar and synthetic aperture radar imagery. IEEE J Ocean Eng 17:73–79
Rodriguez-Cassola M, Prats P, Krieger G, Moreira A (2011) Efficient Time-Domain Image Formation with Precise Topography Accommodation for General Bistatic SAR Configurations. IEEE Trans Aerosp Electron Syst 47:2949–2966
Zhang X, Yang P, Ying W (2019) BP algorithm for the multireceiver SAS system. IET Radar Sonar Navig 13:830–838
Hunter A, Hayes M, Gough P (2003) A comparison of fast factorised back-projection and wavenumber algorithms for SAS image reconstruction. 5th World Congress on Ultrasonics, Paris, p 527–530
Wang X, Zhang X, Zhu S (2015) Upsampling based back projection imaging algorithm for multi-receiver synthetic aperture sonar. 2015 International Industrial Informatics and Computer Engineering Conference (IIICEC), Xi'an, p 1610-1615
Zhang X, Tang J, Wang F, Bai S, Liu D (2014) Accurate back projection imaging algorithm for multi-receiver SAS in engineering application. J Nav Univ Eng 26:20–24
Duersch MI (2013) Backprojection for synthetic aperture radar. Department of Electrical and Computer Engineering. Brigham Young University, Provo, USA
Zhang X, Yang P (2022) Back projection algorithm for multi-receiver synthetic aperture sonar based on two interpolators. J Mar Sci Eng 10:718
Wang R, Loffeld O, Nies H, Ender JHG (2009) Focusing spaceborne/airborne hybrid bistatic SAR data using wavenumber-domain algorithm. IEEE Trans Geosci Remote Sens 47:2275–2283
Loffeld O, Nies H, Peters V, Knedlik S (2004) Models and useful relations for bistatic SAR processing. IEEE Trans Geosci Remote Sens 42:2031–2038
Zhang X, Huang H, Ying W (2017) An indirect range-Doppler algorithm for multireceiver synthetic aperture sonar based on Lagrange inversion theorem. IEEE Trans Geosci Remote Sens 55:3572–3587
Liu B, Wang T, Bao Z (2010) An analytical method of updating the range derivatives and a simple image registration method for the MSR-based range doppler algorithm. IEEE Geosci Remote Sens Lett 7:831–835
Neo YL, Wong FH, Cumming IG (2008) Processing of azimuth-invariant bistatic SAR data using the range doppler algorithm. IEEE Trans Geosci Remote Sens 46:14–21
Zhang X, Tang J, Zhong H (2013) Chirp scaling imaging algorithm for synthetic aperture sonar based on data fusion of multi-receiver array. J Harbin Eng Univ 34:240–244
Hawkins DW, Gough PT (1997) An accelerated chirp scaling algorithm for synethic aperture imaging. 1977 IEEE International Geoscience and Remote Sensing Symposium (IGARSS 1997), Singapore, p 471–473
Zhang X, Tang J, Zhang S, Zhong H (2013) Chirp-scaling imaging algorithm for multi-receiver synthetic aperture sonar. Syst Eng Electron 35:1415–1420
Wong FH, Cumming IG, Yew LN (2008) Focusing bistatic SAR data using the nonlinear chirp scaling algorithm. IEEE Trans Geosci Remote Sens 46:2493–2505
Zhang X, Yang P (2021) An improved imaging algorithm for multireceiver SAS system with wide-bandwidth signal. Remote Sens 13:5008
Zhang X, Yang P, Huang P, Sun H, Ying W (2022) Wide-bandwidth signal-based multireceiver SAS imagery using extended chirp scaling algorithm. IET Radar Sonar Navig 16:531–541
Feng L, Shu L, Yigong Z (2009) Improved chirp scaling algorithm for parallel-track bistatic SAR. J Syst Eng Electron 20:291–296
Zhang X, Yang P, Sun H (2023) An omega-k algorithm for multireceiver synthetic aperture sonar. Electron Lett 59:1–3
Callow HJ, Hayes MP, Gough PT (2002) Wavenumber domain reconstruciton of SAR/SAS imagery using transmitter and multiple-receiver geometry. Electron Lett 38:336–337
Zhang X, Tang J, Zhong H, Zhang S (2014) Wavenumber-domain imaging algorithm for wide-beam multi-receiver synthetic aperture sonar. J Harbin Eng Univ 35:93–101
Qiu X, Hu D, Ding C (2008) An omega-K algorithm with phase error compensation for bistatic SAR of a translational invariant case. IEEE Trans Geosci Remote Sens 46:2224–2232
Zhang X, Ying W, Liu Y, Deng X (2021) Processing multireceiver SAS data based on the PTRS linearization. 2021 IEEE International Geoscience and Remote Sensing Symposium (IGARSS 2021). IEEE, Brussels, p 5167–5170
Hee-Sub S, Jong-Tae L (2009) Omega-k algorithm for airborne spatial invariant bistatic spotlight SAR imaging. IEEE Trans Geosci Remote Sens 47:238–250
Zhang X, Yang P, Zhou M (2023) Multireceiver SAS imagery with generalized PCA. IEEE Geosci Remote Sens Lett 20:1502205
Zhang X, Tang J, Zhang S, Bai S, Zhong H (2014) Four-order polynomial based range-Doppler algorithm for multi-receiver synthetic aperture Sonar. J Electron Inf Technol 36:1592–1598
Neo YL, Wong F, Cumming IG (2007) A two-dimensional spectrum for bistatic SAR processing using series reversion. IEEE Geosci Remote Sens Lett 4:93–96
Clemente C, Soraghan JJ (2012) Approximation of the bistatic slant range using Chebyshev polynomials. IEEE Geosci Remote Sens Lett 9:682–686
Zhang X, Yang P, Sun H (2022) Frequency-domain multireceiver SAS imagery with Chebyshev polynomials. Electron Lett 58:995–998
Fang W, Xiang L (2010) A new method of deriving spectrum for bistatic SAR processing. IEEE Geosci Remote Sens Lett 7:483–486
Zhang X, Yang P, Dai X (2019) Focusing the multireceiver SAS data based on the fourth order Legendre expansion. Circ Syst Signal Process 38:2607–2629
Zhang X, Ying W, Liu Y, Deng X (2021) Accuracy analysis of point target reference spectrum. 2021 13th International Conference on Communication Software and Networks (ICCSN 2021), Chongqing, p 357–30
Geng XP, Yan HH, Wang YF (2008) A two-dimensional spectrum model for general bistatic SAR. IEEE Trans Geosci Remote Sens 46:2216–2223
Zhang X, Tang J, Zhang S (2013) A chirp scaling algorithm for multi-receiver SAS imagery based on bistatic model. Chin High Technol Lett 23:927–932
Gough PT, Hayes MP, Wilkinson DR (2000) An efficient image reconstruction algorithm for a muliple hydrophone array synthetic aperture sonar. Proceedings of the 5th European Conference on Underwater Acoustics (ECUA2000), Lyon, p 395–400
Bonifant WW, Richards M, McClellan J (2000) Interferometric height estimation of the seafloor via synthetic aperture sonar in the presence of motion errors. IEE Proc Radar Sonar Navig 147:322–330
Gough PT, Hayes MP (2005) Fast Fourier techniques for SAS imagery. 2005 MTS/IEEE Oceans Conference, Brest, p 563–568
Zhang X, Yang P, Feng X, Sun H (2022) Efficient imaging method for multireceiver SAS. IET Radar Sonar Navig 16:1470–1483
Neo YL, Wong FH, Cumming IG (2008) A comparison of point target spectra derived for bistatic SAR processing. IEEE Trans Geosci Remote Sens 46:2481–2492
Zhang X, Wu H, Sun H, Ying W (2021) Multireceiver SAS imagery based on monostatic conversion. IEEE J Sel Top Appl Earth Observations Remote Sens 14:10835–10853
Ding J, Loffeld O, Wang R, Nies H, Qurat U-A, Bao Z (2008) Weighted LBF for spaceborne general bistatic SAR processing. Prog Nat Sci 18:1271–1277
Zhang X, Chen X, Qu W (2017) Influence of the stop-and-hop assumption on synthetic aperture sonar imagery. 2017 IEEE 17th International Conference on Communication Technology (ICCT 2017), Chengdu, p 1601–1607
Bonifant WWJ (1999) Interferometric synthetic aperture sonar processing. Georgia Institure of Technology, Georgia
Rodriguez-Cassola M, Prats P, Schulze D et al (2012) First bistatic spaceborne SAR experiments with TanDEM-X. IEEE Geosci Remote Sens Lett 9:33–37
Acknowledgements
The authors are very grateful for reviewers’ comments improving this paper. Besides, the authors are very grateful for Prof. Dr. Haixin Sun’ s technical editing of the manuscript. Furthermore, the authors are very grateful for Dr. Mingzhang Zhou’ s proofreading of the manuscript.
Funding
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: The work described in this article was partially supported by the Enterprise Marine Project under grant No. 20210701.
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Yang, P. An imaging algorithm for high-resolution imaging sonar system. Multimed Tools Appl 83, 31957–31973 (2024). https://doi.org/10.1007/s11042-023-16757-0
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DOI: https://doi.org/10.1007/s11042-023-16757-0