{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T15:13:59Z","timestamp":1767971639275,"version":"3.49.0"},"reference-count":20,"publisher":"MDPI AG","issue":"17","license":[{"start":{"date-parts":[[2021,8,28]],"date-time":"2021-08-28T00:00:00Z","timestamp":1630108800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Institute of Information and communications Technology Planning &amp; Evaluation","award":["2020-0-00878"],"award-info":[{"award-number":["2020-0-00878"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>To meet the increasing demands for remote sensing, a number of radar systems using Linear Frequency Modulation (LFM) waveforms have been deployed, causing the problem of depleting frequency resources. To address this problem, several researchers have proposed the Spectrum Shared Radar System (SSRS) in which multiple radars share the same frequency band to transmit and receive their own signals. To mitigate the interferences caused by the signal transmission by other radars, SSRS employs orthogonal waveforms that inherit the orthogonality of the waveforms from orthogonal codes. However, the inherited orthogonality of the codes is significantly reduced when incorporating LFM waveforms with the codes. To solve this problem, in this paper, we propose a novel but simple scheme for generating a set of optimized coded LFM waveforms via new optimization framework. In the optimization framework, we minimize the weighted sum of autocorrelation sidelobe peaks (ASP) and cross-correlation peaks (CP) of the coded LFM waveforms to maximize the orthogonality of the waveforms. Through computer simulations, we show that the waveforms generated by the proposed scheme outperform the waveforms created by previous proposals in terms of ASP and CP.<\/jats:p>","DOI":"10.3390\/s21175796","type":"journal-article","created":{"date-parts":[[2021,8,31]],"date-time":"2021-08-31T22:58:15Z","timestamp":1630450695000},"page":"5796","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Design of Optimized Coded LFM Waveform for Spectrum Shared Radar System"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1431-8776","authenticated-orcid":false,"given":"Dong-Hoon","family":"Kim","sequence":"first","affiliation":[{"name":"Department of Information and Telecommunication Engineering, Incheon Nat\u2019l University, Incheon 22012, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hyung-Jung","family":"Kim","sequence":"additional","affiliation":[{"name":"Electronics and Telecommunications Research Institute, Daejeon 34129, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jae-Han","family":"Lim","sequence":"additional","affiliation":[{"name":"Department of Software, Kwangwoon University, Seoul 01897, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,8,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1109\/MAES.2012.6226692","article-title":"Orthogonal netted radar systems","volume":"27","author":"Deng","year":"2012","journal-title":"IEEE Aerosp. Electron. Syst. Mag."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"124961","DOI":"10.1109\/ACCESS.2020.3007774","article-title":"Evolution of netted radar systems","volume":"8","author":"Geng","year":"2020","journal-title":"IEEE Access"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1720","DOI":"10.1109\/JSEN.2018.2883371","article-title":"Spectrum sharing in weather radar networked system: Design and experimentation","volume":"19","author":"Lim","year":"2018","journal-title":"IEEE Sens. J."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3126","DOI":"10.1109\/TSP.2004.836530","article-title":"Polyphase code design for orthogonal netted radar systems","volume":"52","author":"Deng","year":"2004","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1056","DOI":"10.1109\/TAES.2016.140248","article-title":"Design and analysis of radar waveforms achieving transmit and receive orthogonality","volume":"52","author":"Majumder","year":"2016","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Ramarakula, M., and Ramana, V. (2019, January 16\u201319). Optimization of Polyphase Orthogonal sequences for MIMO Radar Using Genetic Algorithm with Hamming Scan. Proceedings of the 2019 IEEE International Conference on Advanced Networks and Telecommunications Systems (ANTS), Goa, India.","DOI":"10.1109\/ANTS47819.2019.9117952"},{"key":"ref_7","unstructured":"Bingnan, P., Pei, T., and Zhang, H. (2020, January 21\u201324). Orthogonal Waveform Design of MIMO Radar Based on Niche Genetic Algorithm. Proceedings of the 2020 IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC), Macau, China."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"2143","DOI":"10.1109\/TSP.2020.2983833","article-title":"Polyphase Waveform Design for MIMO Radar Space Time Adaptive Processing","volume":"68","author":"Tang","year":"2020","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Welstead, S. (2007, January 4\u20138). Characterization of diversity approaches for LFM stretch-processed waveforms. Proceedings of the 2007 International Waveform Diversity and Design Conference, Pisa, Italy.","DOI":"10.1109\/WDDC.2007.4339453"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Lulu, A., and Mobasseri, B.G. (2016, January 2\u20136). Chirp diversity waveform design and detection by stretch processing. Proceedings of the 2016 IEEE Radar Conference (RadarConf), Philadelphia, PA, USA.","DOI":"10.1109\/RADAR.2016.7485174"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1027","DOI":"10.1109\/JSEN.2014.2360125","article-title":"Large time-bandwidth product MIMO radar waveform design based on chirp rate diversity","volume":"15","author":"Wang","year":"2014","journal-title":"IEEE Sens. J."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Qazi, F.A., and Fam, A.T. (2012, January 7\u201311). Good code sets based on Piecewise Linear FM. Proceedings of the 2012 IEEE Radar Conference, Atlanta, GA, USA.","DOI":"10.1109\/RADAR.2012.6212196"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1123","DOI":"10.1109\/TAES.2014.130815","article-title":"Doppler tolerant and detection capable polyphase code sets","volume":"51","author":"Qazi","year":"2015","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1032","DOI":"10.1109\/LGRS.2017.2693681","article-title":"OFDM chirp waveform diversity design with correlation interference suppression for MIMO radar","volume":"14","author":"Li","year":"2017","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Wanbing, G., and Zeng, X. (2019). Optimal Waveform Design Using Frequency-Modulated Pulse Trains for Active Sonar. Sensors, 19.","DOI":"10.3390\/s19194262"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"4462","DOI":"10.1109\/JSEN.2018.2824824","article-title":"Orthogonal Waveform with Multiple Diversities for MIMO Radar","volume":"18","author":"Chang","year":"2018","journal-title":"IEEE Sens. J."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Wei, Y., and Mao, Z. (2018, January 27\u201330). Novel Range-Doppler Processing and Waveform Design Method for Extending Unambiguous Doppler. Proceedings of the 2018 International Conference on Radar (RADAR), Brisbane, Australia.","DOI":"10.1109\/RADAR.2018.8557307"},{"key":"ref_18","unstructured":"MATLAB (2020). Version 9.9.0.1592791 (R2020b), The MathWorks Inc."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"188","DOI":"10.4218\/etrij.2017-0090","article-title":"Drone Detection with Chirp-Pulse Radar Based on Target Fluctuation Models","volume":"40","author":"Kim","year":"2018","journal-title":"ETRI J."},{"key":"ref_20","unstructured":"Mahafza, B.R. (2013). Radar Systems and Design Using MATLAB, CRC Press. [3rd ed.]."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/17\/5796\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:54:14Z","timestamp":1760165654000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/17\/5796"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8,28]]},"references-count":20,"journal-issue":{"issue":"17","published-online":{"date-parts":[[2021,9]]}},"alternative-id":["s21175796"],"URL":"https:\/\/doi.org\/10.3390\/s21175796","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,8,28]]}}}