{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,19]],"date-time":"2025-11-19T17:13:34Z","timestamp":1763572414981,"version":"3.37.3"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,1,29]],"date-time":"2018-01-29T00:00:00Z","timestamp":1517184000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61371107"],"award-info":[{"award-number":["61371107"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Guangxi Broadband Wireless Communication & Signal Processing Key Laboratory","award":["GXKL061501"],"award-info":[{"award-number":["GXKL061501"]}]},{"name":"Science and Technology on Communication Networks Laboratory","award":["KX172600033"],"award-info":[{"award-number":["KX172600033"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61571143"],"award-info":[{"award-number":["61571143"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Wireless Com Network"],"published-print":{"date-parts":[[2018,12]]},"DOI":"10.1186\/s13638-018-1027-3","type":"journal-article","created":{"date-parts":[[2018,1,29]],"date-time":"2018-01-29T06:57:19Z","timestamp":1517209039000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Biorthogonal Fourier transform for multichirp-rate signal detection over dispersive wireless channel"],"prefix":"10.1186","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2918-6067","authenticated-orcid":false,"given":"Lin","family":"Zheng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Yan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongbing","family":"Qiu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,1,29]]},"reference":[{"key":"1027_CR1","first-page":"166","volume":"2000","author":"A Springer","year":"2000","unstructured":"A Springer, W Gugler, et al, Spread spectrum communications using chirp signals. EUROCOMM. 2000:, 166\u2013170 (2000).","journal-title":"EUROCOMM"},{"key":"1027_CR2","unstructured":"IEEE Standard for Local and metropolitan area networks\u2014Part 15.4: Low-Rate Wireless Personal Area Networks (LR-WPANs). LAN\/MAN Standards Committee of the IEEE Computer Society, September 2011."},{"issue":"5","key":"1027_CR3","doi-asserted-by":"publisher","first-page":"2568","DOI":"10.1109\/TSP.2009.2028095","volume":"58","author":"R Tao","year":"2010","unstructured":"R Tao, Y Li, Y Wang, Short-time fractional Fourier transform and its applications. IEEE Trans. Signal Process. 58(5), 2568\u20132580 (2010).","journal-title":"IEEE Trans. Signal Process"},{"issue":"4","key":"1027_CR4","doi-asserted-by":"publisher","first-page":"504","DOI":"10.1109\/LSP.2014.2363843","volume":"22","author":"J Yu","year":"2015","unstructured":"J Yu, L Zhang, K Liu, Coherently distributed wideband LFM source localization. IEEE Signal Process. Lett. 22(4), 504\u2013508 (2015).","journal-title":"IEEE Signal Process. Lett"},{"issue":"3","key":"1027_CR5","first-page":"24","volume":"2","author":"BJ Wysocki","year":"2001","unstructured":"BJ Wysocki, TA Wysocki, HJ Zepernick, Walsh-chirp sequences for wireless applications. J.Telecommun. Inf. Technol. 2(3), 24\u201328 (2001).","journal-title":"J.Telecommun. Inf. Technol"},{"issue":"4","key":"1027_CR6","doi-asserted-by":"publisher","first-page":"885","DOI":"10.1109\/JSAC.2005.863879","volume":"24","author":"H Liu","year":"2006","unstructured":"H Liu, Multicode ultra-wideband scheme using chirp waveforms. IEEE J. Sel. Areas Commun. 24(4), 885\u2013891 (2006).","journal-title":"IEEE J. Sel. Areas Commun"},{"issue":"1","key":"1027_CR7","doi-asserted-by":"publisher","first-page":"208","DOI":"10.1109\/TWC.2010.111910.100246","volume":"10","author":"I Dotli\u0107","year":"2011","unstructured":"I Dotli\u0107, R Kohno, Low complexity chirp pulsed ultra-wideband system with near-optimum multipath performance. IEEE Trans. Wirel. Commun. 10(1), 208\u2013218 (2011).","journal-title":"IEEE Trans. Wirel. Commun"},{"issue":"5","key":"1027_CR8","doi-asserted-by":"publisher","first-page":"497","DOI":"10.1109\/LSP.2004.826638","volume":"11","author":"H Shen","year":"2004","unstructured":"H Shen, S Machineni, C Gupta, A Papandreou-Suppappola, Time-varying multichirp rate modulation for multiple access systems. IEEE Signal Process. Lett. 11(5), 497\u2013500 (2004).","journal-title":"IEEE Signal Process. Lett"},{"key":"1027_CR9","unstructured":"L John, I Zbigniew, H Rainer, Nanotron MDMA EBM Proposal Presentation (2005). Available: http:\/\/www.ieee802.org\/22\/Meeting_documents\/2005_Nov\/22-05-0102-01-0000_Nanotron_MDMA_EBM_Proposal_Presentation.ppt . Accessed 16 Jan 2018."},{"issue":"6","key":"1027_CR10","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1109\/MSP.2013.2269702","volume":"30","author":"G Matz","year":"2013","unstructured":"G Matz, H Bolcskei, F Hlawatsch, Time-frequency foundations of communications. IEEE Signal Proc. Mag. 30(6), 87\u201396 (2013).","journal-title":"IEEE Signal Proc. Mag"},{"key":"1027_CR11","doi-asserted-by":"crossref","unstructured":"R Nissel, S Schwarz, M Rupp, Filter bank multicarrier modulation schemes for future mobile communications. IEEE J. Sel. Areas Commun (2017). preprint.","DOI":"10.1109\/JSAC.2017.2710022"},{"issue":"11","key":"1027_CR12","doi-asserted-by":"publisher","first-page":"3166","DOI":"10.1109\/78.330375","volume":"42","author":"JC Wood","year":"1994","unstructured":"JC Wood, DT Barry, Radon transformation of time-frequency distributions for analysis of multicomponent signals. IEEE Trans. Signal Process. 42(11), 3166\u20133177 (1994).","journal-title":"IEEE Trans. Signal Process"},{"issue":"3","key":"1027_CR13","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1109\/78.661326","volume":"46","author":"M-S Wang","year":"1998","unstructured":"M-S Wang, AK Chan, CK Chui, Linear frequency-modulated signal detection using Radon-ambiguity transform. IEEE Trans. Signal Process. 46(3), 571\u2013586 (1998).","journal-title":"IEEE Trans. Signal Process"},{"issue":"11","key":"1027_CR14","doi-asserted-by":"publisher","first-page":"2745","DOI":"10.1109\/78.482123","volume":"43","author":"S Mann","year":"1995","unstructured":"S Mann, S Haykin, The chirplet transform: physical considerations. IEEE Trans. Signal Process. 43(11), 2745\u20132761 (1995).","journal-title":"IEEE Trans. Signal Process"},{"issue":"10","key":"1027_CR15","doi-asserted-by":"publisher","first-page":"5118","DOI":"10.1109\/TSP.2010.2053028","volume":"58","author":"J Zhong","year":"2010","unstructured":"J Zhong, Y Huang, Time-frequency representation based on an adaptive short-time Fourier transform. IEEE Trans.Signal Process. 58(10), 5118\u20135128 (2010).","journal-title":"IEEE Trans.Signal Process"},{"issue":"6","key":"1027_CR16","doi-asserted-by":"publisher","first-page":"1011","DOI":"10.1109\/26.930631","volume":"49","author":"M Martone","year":"2001","unstructured":"M Martone, A multicarrier system based on the fractional Fourier transform for time-frequency-selective channels. IEEE Trans. Commun. 49(6), 1011\u20131020 (2001).","journal-title":"IEEE Trans. Commun"},{"issue":"10","key":"1027_CR17","doi-asserted-by":"publisher","first-page":"888","DOI":"10.1109\/LCOMM.2010.072910.100562","volume":"14","author":"J Zheng","year":"2010","unstructured":"J Zheng, Z Wang, ICI Analysis for FRFT-OFDM systems to frequency offset in time-frequency selective fading channels. IEEE Commun. Lett. 14(10), 888\u2013890 (2010).","journal-title":"IEEE Commun. Lett"},{"issue":"20","key":"1027_CR18","doi-asserted-by":"publisher","first-page":"1299","DOI":"10.1049\/el.2013.0980","volume":"49","author":"S Kumari","year":"2013","unstructured":"S Kumari, SK Rai, A Kumar, HD Joshi, AK Singh, R Saxena, Exact BER analysis of FRFT-OFDM system over frequency selective Rayleigh fading channel with CFO. Electron. Lett. 49(20), 1299\u20131301 (2013).","journal-title":"Electron. Lett"},{"issue":"24","key":"1027_CR19","doi-asserted-by":"publisher","first-page":"2003","DOI":"10.1049\/el.2015.2450","volume":"51","author":"MR Mousavi","year":"2015","unstructured":"MR Mousavi, A Shahzadi, Hyperbolic FRFT-OFDM system BER analysis over high Doppler Rician fading channels. Electron. Lett. 51(24), 2003\u20132005 (2015).","journal-title":"Electron. Lett"},{"issue":"5","key":"1027_CR20","doi-asserted-by":"publisher","first-page":"853","DOI":"10.1109\/TCOMM.2005.847162","volume":"53","author":"T Erseghe","year":"2005","unstructured":"T Erseghe, N Laurenti, V Cellini, A multicarrier architecture based upon the affine Fourier transform. IEEE Trans. Commun. 53(5), 853\u2013862 (2005).","journal-title":"IEEE Trans. Commun"},{"issue":"1","key":"1027_CR21","doi-asserted-by":"publisher","first-page":"868314","DOI":"10.1155\/2010\/868314","volume":"2010","author":"D Stojanovic","year":"2010","unstructured":"D Stojanovic, I Djurovic, BR Vojcic, Multicarrier communications based on the affine fourier transform in doubly-dispersive channels. Eurasip J. Wirel. Commun. Netw. 2010(1), 868314 (2010).","journal-title":"Eurasip J. Wirel. Commun. Netw"},{"issue":"1","key":"1027_CR22","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1186\/s13638-017-0890-7","volume":"2017","author":"Z Wang","year":"2017","unstructured":"Z Wang, L Mei, X Wang, X Sha, N Zhang, On the performance of hybrid carrier system with spectrum precoding based on WFRFT. EURASIP J. Wirel. Commun. Netw. 2017(1), 102 (2017).","journal-title":"EURASIP J. Wirel. Commun. Netw"},{"issue":"5","key":"1027_CR23","doi-asserted-by":"publisher","first-page":"1591","DOI":"10.1016\/j.sigpro.2009.11.004","volume":"90","author":"AT Catherall","year":"2010","unstructured":"AT Catherall, DP Williams, High resolution spectrograms using a component optimized short-term fractional Fourier transform. Signal Process. 90(5), 1591\u20131596 (2010).","journal-title":"Signal Process"},{"issue":"6","key":"1027_CR24","doi-asserted-by":"publisher","first-page":"1301","DOI":"10.1007\/s11432-011-4324-6","volume":"55","author":"F Liu","year":"2012","unstructured":"F Liu, H Xu, R Tao, Y Wang, Research on resolution between multi-component LFM signals in the fractional Fourier domain. Sci. China Inf. Sci. 55(6), 1301\u20131312 (2012).","journal-title":"Sci. China Inf. Sci"},{"key":"1027_CR25","doi-asserted-by":"publisher","unstructured":"B Deng, R Tao, E Chen, in 2006 8th international Conference on Signal Processing. A novel method for binary chirp-rate modulation and demodulation, (2006), pp. 1\u20134. https:\/\/doi.org\/10.1109\/ICOSP.2006.345831 .","DOI":"10.1109\/ICOSP.2006.345831"},{"issue":"6","key":"1027_CR26","doi-asserted-by":"publisher","first-page":"1351","DOI":"10.1016\/j.sigpro.2010.10.008","volume":"91","author":"E Sejdic","year":"2011","unstructured":"E Sejdic, I Djurovic, L Stankovic, Fractional Fourier transform as a signal processing tool: an overview of recent developments. Signal Process. 91(6), 1351\u20131369 (2011).","journal-title":"Signal Process"},{"issue":"11","key":"1027_CR27","doi-asserted-by":"publisher","first-page":"2549","DOI":"10.1109\/78.960403","volume":"49","author":"RL Murray","year":"2001","unstructured":"A Papandreou-Suppappola, RL Murray, BG Lem, GF Boudreaux-Bartels, Group delay shift covariant quadratic time-frequency representations. IEEE Trans. Signal Process. 49(11), 2549\u20132564 (2001).","journal-title":"IEEE Trans. Signal Process"},{"issue":"7","key":"1027_CR28","doi-asserted-by":"publisher","first-page":"2607","DOI":"10.1109\/TSP.2005.849218","volume":"53","author":"H Shen","year":"2005","unstructured":"H Shen, A Papandreou-Suppappola, Wideband time-varying interference suppression using matched signal transforms. IEEE Trans.Signal Process. 53(7), 2607\u20132612 (2005).","journal-title":"IEEE Trans.Signal Process"},{"issue":"7","key":"1027_CR29","first-page":"1620","volume":"31","author":"B Wang","year":"2009","unstructured":"B Wang, X Li, Analysis algorithm to frequency rate of LFM signal based on biorthogonal Fourier transform (in Chinese). J. Electron. Inf. Technol. 31(7), 1620\u20131623 (2009).","journal-title":"J. Electron. Inf. Technol"},{"issue":"1","key":"1027_CR30","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1587\/transinf.2014EDL8077","volume":"E98-D","author":"H Wang","year":"2015","unstructured":"H Wang, Y Li, B Wang, High-order bi-orthogonal Fourier transform and its applications in non-stability signal analysis. IEICE Trans.Inf. Syst. E98-D(1), 189\u2013192 (2015).","journal-title":"IEICE Trans.Inf. Syst"},{"issue":"2","key":"1027_CR31","doi-asserted-by":"publisher","first-page":"184","DOI":"10.1360\/02yf0456","volume":"47","author":"Q Lin","year":"2004","unstructured":"Q Lin, R Tao, S Zhou, et al, Detection and parameter estimation of multicomponent LFM signal based on the fractional Fourier transform. Sci. China Inf. Sci. 47(2), 184\u2013198 (2004).","journal-title":"Sci. China Inf. Sci"},{"key":"1027_CR32","volume-title":"Digital processing of random signals","author":"B Porat","year":"1994","unstructured":"B Porat, Digital processing of random signals (Prentice Hall, Englewood Cliffs, 1994)."}],"container-title":["EURASIP Journal on Wireless Communications and Networking"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1186\/s13638-018-1027-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s13638-018-1027-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s13638-018-1027-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,9]],"date-time":"2019-10-09T18:25:52Z","timestamp":1570645552000},"score":1,"resource":{"primary":{"URL":"https:\/\/jwcn-eurasipjournals.springeropen.com\/articles\/10.1186\/s13638-018-1027-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1,29]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,12]]}},"alternative-id":["1027"],"URL":"https:\/\/doi.org\/10.1186\/s13638-018-1027-3","relation":{},"ISSN":["1687-1499"],"issn-type":[{"type":"electronic","value":"1687-1499"}],"subject":[],"published":{"date-parts":[[2018,1,29]]},"assertion":[{"value":"13 July 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 January 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 January 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The authors declare that they have no competing interests.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}},{"value":"Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Publisher\u2019s Note"}}],"article-number":"23"}}