{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T15:39:27Z","timestamp":1781278767069,"version":"3.54.1"},"reference-count":22,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2017,10,24]],"date-time":"2017-10-24T00:00:00Z","timestamp":1508803200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, a fast three-dimensional (3-D) frequency scaling algorithm (FSA) with large depth of focus is presented for near-field planar millimeter-wave (MMW) holographic imaging. Considering the cross-range range coupling term which is neglected in the conventional range migration algorithm (RMA), we propose an algorithm performing the range cell migration correction for de-chirped signals without interpolation by using a 3-D frequency scaling operation. First, to deal with the cross-range range coupling term, a 3-D frequency scaling operator is derived to eliminate the space variation of range cell migration. Then, a range migration correction factor is performed to compensate for the residual range cell migration. Finally, the imaging results are obtained by matched filtering in the cross-range direction. Compared with the conventional RMA, the proposed algorithm is comparable in accuracy but more efficient by using only chirp multiplications and fast Fourier transforms (FFTs). The algorithm has been tested with satisfying results by both simulation and experiment.<\/jats:p>","DOI":"10.3390\/s17102438","type":"journal-article","created":{"date-parts":[[2017,10,25]],"date-time":"2017-10-25T11:13:27Z","timestamp":1508930007000},"page":"2438","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Near-Field Three-Dimensional Planar Millimeter-Wave Holographic Imaging by Using Frequency Scaling Algorithm"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3503-1187","authenticated-orcid":false,"given":"Ye","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Electronic Science, National University of Defense Technology, Changsha 410073, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bin","family":"Deng","sequence":"additional","affiliation":[{"name":"College of Electronic Science, National University of Defense Technology, Changsha 410073, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3637-6232","authenticated-orcid":false,"given":"Qi","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Electronic Science, National University of Defense Technology, Changsha 410073, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6964-2093","authenticated-orcid":false,"given":"Jingkun","family":"Gao","sequence":"additional","affiliation":[{"name":"College of Electronic Science, National University of Defense Technology, Changsha 410073, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuliang","family":"Qin","sequence":"additional","affiliation":[{"name":"College of Electronic Science, National University of Defense Technology, Changsha 410073, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hongqiang","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Electronic Science, National University of Defense Technology, Changsha 410073, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2017,10,24]]},"reference":[{"key":"ref_1","unstructured":"Martin, C.A. (2003, January 4\u20135). Passive millimeter-wave imaging for airborne and security applications. Proceedings of the SPIE-The International Society for Optical Engineering, San Diego, CA, USA."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1683","DOI":"10.1109\/JPROC.2007.898832","article-title":"Millimeter-Wave and Submillimeter-Wave Imaging for Security and Surveillance","volume":"95","author":"Appleby","year":"2007","journal-title":"Proc. IEEE"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1581","DOI":"10.1109\/22.942570","article-title":"Three-dimensional millimeter-wave imaging for concealed weapon detection","volume":"49","author":"Sheen","year":"2001","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_4","unstructured":"McMakin, D.L., Sheen, D.M., and Hall, T.E. (1998, January 24\u201325). Cylindrical holographic radar camera. Proceedings of the SPIE-The International Society for Optical Engineering, San Jose, CA, USA."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Sheen, D.M., McMarkin, D.L., and Hall, T.E. (2009, January 11\u201312). Active millimeter-wave standoff and portal imaging techniques for personnel screening. Proceedings of the IEEE Conference on Technologies for Homeland Security, Waltham, MA, USA.","DOI":"10.1109\/THS.2009.5168070"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1109\/MMM.2012.2205772","article-title":"Advanced Microwave Imaging","volume":"13","author":"Ahmed","year":"2012","journal-title":"Microw. Mag. IEEE"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Ahmed, S.S., Schiessl, A., and Schmidt, L.P. (2011, January 5\u201310). Novel fully electronic active real-time millimeter-wave imaging system based on a planar multistatic sparse array. Proceedings of the IEEE Conference on Microwave Symposium Digest, Baltimore, MD, USA.","DOI":"10.1109\/MWSYM.2011.5973266"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1109\/TMTT.2012.2228221","article-title":"Fully Electronic-Band Personnel Imager of 2 m Aperture Based on a Multistatic Architecture","volume":"61","author":"Ahmed","year":"2013","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1221","DOI":"10.1007\/s10762-015-0207-z","article-title":"Exact Reconstruction for Near-Field Three-Dimensional Planar Millimeter-Wave Holographic Imaging","volume":"36","author":"Qiao","year":"2015","journal-title":"J. Infrared Millim. Terahertz Waves"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1314","DOI":"10.1007\/s10762-011-9825-2","article-title":"Design, Analysis and Measurement of a Millimeter Wave Antenna Suitable for Stand off Imaging at Checkpoints","volume":"32","author":"Gao","year":"2011","journal-title":"J. Infrared Millim. Terahertz Waves"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Corredoura, P., Baharav, Z., and Taber, B. (2006, January 17\u201321). Millimeter-wave imaging system for personnel screening: Scanning 107 points a second and using no moving parts. Proceedings of the Defense and Security Symposium, Orlando, FL, USA.","DOI":"10.1117\/12.669664"},{"key":"ref_12","unstructured":"Soumekh, M. (1999). Synthetic Aperture Radar Signal Processing with MATLAB Algorithms, Wiley."},{"key":"ref_13","first-page":"2541","article-title":"Three-dimensional microwave imaging algorithm for the surface of the human body based on wavenumber domain integration","volume":"31","author":"Tan","year":"2009","journal-title":"J. Electr. Inf. Technol."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Kan, Y., Zhu, Y., and Tang, L. (2016). FGG-NUFFT-Based Method for Near-Field 3-D Imaging Using Millimeter Waves. Sensors, 16.","DOI":"10.3390\/s16091525"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"519","DOI":"10.2528\/PIER11112406","article-title":"Modified Wavenumber Domain Algorithm for Three-Dimensional Millimeter-Wave Imaging","volume":"124","author":"Li","year":"2012","journal-title":"Prog. Electromagn. Res."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1109\/36.158864","article-title":"A comparison of range-Doppler and wavenumber domain SAR focusing algorithms","volume":"30","author":"Bamler","year":"1992","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"786","DOI":"10.1109\/36.298008","article-title":"Precision SAR processing using chirp scaling","volume":"32","author":"Raney","year":"1994","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"2198","DOI":"10.1109\/36.789617","article-title":"Spotlight SAR data processing using the frequency scaling algorithm","volume":"37","author":"Mittermayer","year":"1999","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1049\/ip-rsn:20030493","article-title":"Extension of the chirp scaling algorithm to 3-D near-field wideband radar imaging","volume":"150","author":"Gimeno","year":"2003","journal-title":"IEE Proc. Radar Sonar Navig."},{"key":"ref_20","first-page":"367","article-title":"A range-doppler algorithm for holographic radar imaging","volume":"36","author":"Jiang","year":"2017","journal-title":"J. Infrared Millim. Waves"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1552","DOI":"10.1109\/LGRS.2013.2261975","article-title":"SAR image autofocus utilizing minimum entropy criterion","volume":"10","author":"Zeng","year":"2013","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"627","DOI":"10.1049\/iet-rsn.2011.0078","article-title":"Entropy-based motion error correction for high-resolution spotlight SAR imagery","volume":"6","author":"Yang","year":"2012","journal-title":"IET Radar Sonar Navig."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/10\/2438\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:48:21Z","timestamp":1760208501000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/10\/2438"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,10,24]]},"references-count":22,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2017,10]]}},"alternative-id":["s17102438"],"URL":"https:\/\/doi.org\/10.3390\/s17102438","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,10,24]]}}}