{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:38:48Z","timestamp":1760146728155,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,12,4]],"date-time":"2024-12-04T00:00:00Z","timestamp":1733270400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62371390"],"award-info":[{"award-number":["62371390"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>By utilizing chirp-BOK (binary orthogonal keying) modulation into a troposphere scattering communication system, a lower demodulation threshold can be achieved with excellent linear frequency modulation properties in a strong noise and weak signal environment. Firstly, the bit error rate (BER) formula of chirp-BOK modulation over a Rayleigh fading channel was derived theoretically. Then, the BER performance with different chirp-BOK parameters were numerically calculated. In order to investigate the performance of chirp-BOK over deeping fading troposphere scattering link, a seven-path equal-delay Rayleigh fading model was employed. Finally, the system BER performance was simulated under different tap delay and time\u2013bandwidth product parameters. The results demonstrate that when BER reaches 10\u22124, the optimal configuration of the system achieves a gains approximately from 1.7 dB to 10 dB compared to non-optimized configuration under different Path-Gain-Vector with varying tap delays.<\/jats:p>","DOI":"10.3390\/e26121052","type":"journal-article","created":{"date-parts":[[2024,12,4]],"date-time":"2024-12-04T04:47:22Z","timestamp":1733287642000},"page":"1052","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Performance Analysis of Troposphere Scattering Communication Channel with Chirp-BOK Modulation"],"prefix":"10.3390","volume":"26","author":[{"given":"Junhu","family":"Shao","sequence":"first","affiliation":[{"name":"Xi\u2019an Key Laboratory of Wireless Optical Communication and Network Research, School of Automation and Information Engineering, Xi\u2019an University of Technology, Xi\u2019an 710048, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zaiping","family":"Liu","sequence":"additional","affiliation":[{"name":"Xi\u2019an Key Laboratory of Wireless Optical Communication and Network Research, School of Automation and Information Engineering, Xi\u2019an University of Technology, Xi\u2019an 710048, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yishuo","family":"Liu","sequence":"additional","affiliation":[{"name":"Xi\u2019an Key Laboratory of Wireless Optical Communication and Network Research, School of Automation and Information Engineering, Xi\u2019an University of Technology, Xi\u2019an 710048, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tianjiao","family":"Xie","sequence":"additional","affiliation":[{"name":"China Academy of Space Technology (Xi\u2019an), Xi\u2019an 710100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1482","DOI":"10.1109\/TVT.2017.2761440","article-title":"Cognitive Tropospheric Scatter Communication","volume":"67","author":"Li","year":"2017","journal-title":"IEEE. 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