{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,21]],"date-time":"2025-01-21T05:24:16Z","timestamp":1737437056114,"version":"3.33.0"},"reference-count":45,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2020,5,16]],"date-time":"2020-05-16T00:00:00Z","timestamp":1589587200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the National Key R&D Program of China","award":["2016YFC1400100"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"Matched filtering is widely used in active sonar because of its simplicity and ease of implementation. However, the resolution performance generally depends on the transmitted waveform. Moreover, its detection performance is limited by the high-level sidelobes and seriously degraded in a shallow water environment due to time spread induced by multipath propagation. This paper proposed a method named iterative deconvolution-time reversal (ID-TR), on which the energy of the cross-ambiguity function is modeled, as a convolution of the energy of the auto-ambiguity function of the transmitted signal with the generalized target reflectivity density. Similarly, the generalized target reflectivity density is a convolution of the spread function of channel with the reflectivity density of target as well. The ambiguity caused by the transmitted signal and the spread function of channel are removed by Richardson-Lucy iterative deconvolution and the time reversal processing, respectively. Moreover, this is a special case of the Richardson-Lucy algorithm that the blur function is one-dimensional and time-invariant. Therefore, the iteration deconvolution is actually implemented by the iterative temporal time reversal processing. Due to the iterative time reversal method can focus more and more energy on the strongest target with the iterative number increasing and then the peak-signal power increases, the simulated result shows that the noise reduction can achieve 250 dB in the \u201cideal\u201d free field environment and 100 dB in a strong multipaths waveguide environment if a 1-ms linear frequency modulation with a 4-kHz frequency bandwidth is transmitted and the number of iteration is 10. Moreover, the range resolution is approximately a delta function. The results of the experiment in a tank show that the noise level is suppressed by more than 70 dB and the reverberation level is suppressed by 3 dB in the case of a single target and the iteration number being 8.<\/jats:p>","DOI":"10.3390\/s20102844","type":"journal-article","created":{"date-parts":[[2020,5,18]],"date-time":"2020-05-18T06:43:42Z","timestamp":1589784222000},"page":"2844","source":"Crossref","is-referenced-by-count":7,"title":["An Iterative Deconvolution-Time Reversal Method with Noise Reduction, a High Resolution and Sidelobe Suppression for Active Sonar in Shallow Water Environments"],"prefix":"10.3390","volume":"20","author":[{"given":"Chun-Xiao","family":"Li","sequence":"first","affiliation":[{"name":"College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China"},{"name":"Key Laboratory of Special Purpose Equipment and Advanced Processing Technology, Ministry of Education and Zhejiang Province, Zhejiang University of Technology, Hangzhou 310023, China"}]},{"given":"Ming-Fei","family":"Guo","sequence":"additional","affiliation":[{"name":"College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China"},{"name":"Key Laboratory of Special Purpose Equipment and Advanced Processing Technology, Ministry of Education and Zhejiang Province, Zhejiang University of Technology, Hangzhou 310023, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5840-3238","authenticated-orcid":false,"given":"Hang-Fang","family":"Zhao","sequence":"additional","affiliation":[{"name":"College of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, China"},{"name":"Key laboratory Ocean Observation-Imaging Testbed of Zhejiang Province, Zhoushan 316021, China"}]}],"member":"1968","published-online":{"date-parts":[[2020,5,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3375","DOI":"10.1121\/1.424666","article-title":"Detection of phase- or frequency-modulated signals in reverberation noise","volume":"105","author":"Carmillet","year":"1999","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1978","DOI":"10.1121\/1.428481","article-title":"Estimation of coherent detection performance for spread scattering in reverberation-noise mixtures","volume":"107","author":"Ricker","year":"1999","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1121\/1.1918922","article-title":"Digital compressed-time correlators and matched filters for active sonar","volume":"36","author":"Allen","year":"1964","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"850","DOI":"10.1121\/1.3609118","article-title":"Time delay and Doppler estimation for wideband acoustic signals in multipath environments","volume":"130","author":"Jiang","year":"2011","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1109\/JSTSP.2007.897056","article-title":"Minimax Robust MIMO Radar Waveform Design","volume":"1","author":"Yang","year":"2007","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1109\/TSP.2007.901653","article-title":"Range compression and waveform optimization for MIMO radar: A Cram\u00e9r-Rao bound based study","volume":"56","author":"Li","year":"2008","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1109\/LGRS.2016.2635154","article-title":"Low sidelobe range profile synthesis for sonar imaging using stepped-frequency pulses","volume":"14","author":"Liu","year":"2017","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_8","first-page":"7624","article-title":"Range sidelobe suppression for OFDMintegrated radar and communication signal","volume":"2019","author":"Zou","year":"2019","journal-title":"J. Eng."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1530","DOI":"10.1049\/iet-rsn.2018.5631","article-title":"Implementable phase-coded radar waveforms featuring extra-low range sidelobes and Doppler resilience","volume":"13","author":"Dong","year":"2019","journal-title":"IET Radar Sonar Navig."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1315","DOI":"10.1109\/TSP.2012.2234743","article-title":"Receiver Design for Range and Doppler Sidelobe Suppression Using MIMO and Phased-Array Radar","volume":"61","author":"Hua","year":"2013","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"2047","DOI":"10.1109\/TAES.2013.120681","article-title":"MIMO Radar Range-Angular-Doppler Sidelobe Suppression Using Random Space-Time Coding","volume":"50","author":"Zhou","year":"2014","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2426","DOI":"10.1109\/TAES.2018.2888652","article-title":"Sidelobe leakage reduction in random phase diversity radar using coherent CLEAN","volume":"55","author":"Berestesky","year":"2019","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"66910","DOI":"10.1109\/ACCESS.2019.2911693","article-title":"Range coherence factor for down range sidelobes suppression in radar imaging through multilayered dielectric media","volume":"7","author":"An","year":"2019","journal-title":"IEEE Access"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1204","DOI":"10.1109\/TAP.2019.2938581","article-title":"2-D Coherence Factor for Sidelobe and Ghost Suppressions in Radar Imaging","volume":"68","author":"Li","year":"2020","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"4563","DOI":"10.1109\/TIT.2006.881750","article-title":"Wideband extended range-doppler imaging and waveform design in the presence of clutter and noise","volume":"52","author":"Yazici","year":"2006","journal-title":"IEEE Trans. Inform. Theory"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1109\/JOE.2018.2801158","article-title":"Rational-orthogonal-wavelet-based active sonar pulse and detector design","volume":"44","author":"Yu","year":"2019","journal-title":"IEEE J. Ocean. Eng."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"119250","DOI":"10.1016\/j.ijheatmasstransfer.2019.119250","article-title":"Ekman boundary layer mass transfer mechanism of free sink vortex","volume":"150","author":"Tan","year":"2020","journal-title":"Int. J. Heat Mass Transf."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"27649","DOI":"10.1109\/ACCESS.2020.2971546","article-title":"Lattice Boltzmann method for fluid-thermal systems: Status, hotspots, trends and outlook","volume":"8","author":"Li","year":"2020","journal-title":"IEEE Access"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"3053","DOI":"10.1121\/1.4756921","article-title":"Clutter reduction using Doppler sonar in a harbor environment","volume":"132","author":"Yang","year":"2012","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2047","DOI":"10.1121\/1.5005888","article-title":"Estimating the delay-Doppler of target echo in a high clutter underwater environment using wideband linear chirp signals: Evaluation of performance with experimental data","volume":"142","author":"Yu","year":"2017","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1109\/TUFFC.2014.006717","article-title":"Point spread functions and deconvolution of ultrasonic images","volume":"62","author":"Dalitz","year":"2015","journal-title":"IEEE Trans. Ultrason. Ferr."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2402","DOI":"10.1109\/TGRS.2010.2103080","article-title":"A comparison of signal deconvolution algorithms based on small-footprint liDAR waveform simulation","volume":"49","author":"Wu","year":"2011","journal-title":"IEEE Trans. Geosci. Remote"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1249","DOI":"10.1049\/el.2019.2650","article-title":"Mitigation of target distortion in pulse-agile sensors via Richardson-Lucy deconvolution","volume":"55","author":"Kirk","year":"2019","journal-title":"Electron. Lett."},{"key":"ref_24","first-page":"473","article-title":"Delay-Doppler deconvolution image formation for multiple targets in waveguide environment","volume":"36","author":"Zhao","year":"2017","journal-title":"Acta Acustica"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"909","DOI":"10.1121\/1.3278604","article-title":"Deconvolution of sparse underwater acoustic multipath channel with a large time-delay spread","volume":"127","author":"Zeng","year":"2010","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1364\/JOSA.62.000055","article-title":"Bayesian-based iterative method of image restoration","volume":"62","author":"Richardson","year":"1972","journal-title":"J. Opt. Soc. Am."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1086\/111605","article-title":"An iterative technique for the rectification of observed distributions","volume":"79","author":"Lucy","year":"1974","journal-title":"Astron. J."},{"key":"ref_28","first-page":"61","article-title":"Time-reversal detection of multidimensional signals in underwater acoustic","volume":"36","author":"Li","year":"2011","journal-title":"IEEE J. Ocean."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1049\/iet-rsn.2012.0359","article-title":"Combination of time-reversal focusing and nulling for detection of small targets in strong reverberation environments","volume":"8","author":"Pan","year":"2014","journal-title":"IET Radar Sonar Navig."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"597474","DOI":"10.1155\/2012\/597474","article-title":"Decomposition of the time reversal operator for target detection","volume":"2012","author":"Li","year":"2012","journal-title":"Math. Probl. Eng."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1305","DOI":"10.1121\/1.2227377","article-title":"Experimental demonstration of iterative time-reversed reverberation focusing in a rough waveguide. Application to target detection","volume":"120","author":"Sabra","year":"2006","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1121\/1.412285","article-title":"The iterative time reveral process: Analysis of the convergence","volume":"97","author":"Prada","year":"1995","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_33","first-page":"192","article-title":"Wideband imaging of extended targets with the decomposition of the time reversal operator","volume":"39","author":"Li","year":"2020","journal-title":"Acta Acustica"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1321","DOI":"10.1109\/TAP.2016.2647594","article-title":"Continuous wavelet transform-based frequency dispersion compensation method for electromagnetic time-reversal imaging","volume":"65","author":"Abduljabbar","year":"2017","journal-title":"IEEE Tran. Anten. Propag."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1109\/TSP.2006.882114","article-title":"Detection by time reversal: Single antenna","volume":"55","author":"Moura","year":"2007","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"2094","DOI":"10.1109\/18.720533","article-title":"Information-theoretic imaging formation","volume":"44","author":"Blahut","year":"1998","journal-title":"IEEE Trans. Inform. Theory"},{"doi-asserted-by":"crossref","unstructured":"Blahut, R.E. (2004). Theory of Remote Imaging Formation, Cambridge University Press. [1st ed.].","key":"ref_37","DOI":"10.1017\/CBO9780511543418"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1143","DOI":"10.1109\/78.134477","article-title":"Deblurring subject to nonnegativity constrains","volume":"40","author":"Snyder","year":"1992","journal-title":"IEEE Trans. Signal Process."},{"doi-asserted-by":"crossref","unstructured":"Cepni, A.G., Stancil, D.D., Henty, B., Jiang, Y., Jin, Y., Moura, J.M.F., and Zhu, J.G. (2006, January 9\u201314). Experimental results on single antenna target detection using time-reversal techniques. Proceedings of the 2006 IEEE Antennas and Propagation Society International Symposium, Albuquerque, NM, USA.","key":"ref_39","DOI":"10.1109\/APS.2006.1710622"},{"unstructured":"Porter, M.B. (1991). The KRAKEN Normal Mode Program, SACLANT Undersea Research Centre.","key":"ref_40"},{"unstructured":"Oppenheim, A.N., Schafer, R.W., and Buck, J.R. (1998). Discrete-time Signal Processing, Prentice-Hall, Inc. Press. [2nd ed.].","key":"ref_41"},{"doi-asserted-by":"crossref","unstructured":"Van Trees, H.L. (2002). Optimum Array Processing, Wiley.","key":"ref_42","DOI":"10.1002\/0471221104"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"160","DOI":"10.1109\/JOE.2017.2680818","article-title":"Deconvolved conventional beamforming for a horizontal line array","volume":"43","author":"Yang","year":"2018","journal-title":"IEEE J. Ocean."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1016\/j.powtec.2019.06.036","article-title":"Investigation on the multiphase sink vortex Ekman pumping effects by CFD-DEM coupling method","volume":"360","author":"Li","year":"2020","journal-title":"Powder Technol."},{"unstructured":"Pan, Y., Ji, S., Tan, D., and Cao, H. (2019). Cavitation based soft abrasive flow processing method. Int. J. Adv. Manuf. Technol., in Press.","key":"ref_45"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/10\/2844\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,20]],"date-time":"2025-01-20T20:46:33Z","timestamp":1737405993000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/10\/2844"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,16]]},"references-count":45,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2020,5]]}},"alternative-id":["s20102844"],"URL":"https:\/\/doi.org\/10.3390\/s20102844","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2020,5,16]]}}}