{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:06:08Z","timestamp":1740103568685,"version":"3.37.3"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T00:00:00Z","timestamp":1556064000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Science Foundation China","award":["61571329","61831018","61631017","2018B010115002"],"award-info":[{"award-number":["61571329","61831018","61631017","2018B010115002"]}]},{"name":"National Science Foundation China","award":["61571329","61831018","61631017","2018B010115002"],"award-info":[{"award-number":["61571329","61831018","61631017","2018B010115002"]}]},{"name":"National Science Foundation China","award":["61571329","61831018","61631017","2018B010115002"],"award-info":[{"award-number":["61571329","61831018","61631017","2018B010115002"]}]},{"name":"Guangdong Province Key Research and Development Program Major Science and Technology Projects","award":["61571329","61831018","61631017","2018B010115002"],"award-info":[{"award-number":["61571329","61831018","61631017","2018B010115002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Wireless Communications and Mobile Computing"],"published-print":{"date-parts":[[2019,4,24]]},"abstract":"<jats:p>This paper proposes a novel symbol-level combining hybrid automatic repeat request (HARQ) scheme based on analog chaotic code and named HARQ-Chaotic. The transmitter of HARQ-Chaotic adopts analog chaotic code to encode Quadrature Amplitude Modulation (QAM) symbols of retransmission packets to combat fading and noise. As the analog chaotic code can only handle sources with amplitudes in the range of [-0.5, 0.5], QAM symbols must be scaled into this range. We derived the optimal scaling factor through theoretical analysis. A joint algorithm combining with novel soft chaotic decoder and novel soft QAM demapper is proposed for the receiver to enhance the performance of the whole communication system. We implemented HARQ-Chaotic with LDPC codes and 16-QAM\/64-QAM to carry out simulations in both AWGN channels and multipath fading channels. Massive simulation results demonstrate that the proposed HARQ-Chaotic has <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mn mathvariant=\"normal\">1<\/mml:mn><mml:mi>d<\/mml:mi><mml:mi>B<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn mathvariant=\"normal\">4<\/mml:mn><mml:mi>d<\/mml:mi><mml:mi>B<\/mml:mi><\/mml:math> gain over traditional HARQ-Chase combining (HARQ-CC) scheme in block error rate (BLER) performance.<\/jats:p>","DOI":"10.1155\/2019\/3728127","type":"journal-article","created":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T19:32:01Z","timestamp":1556134321000},"page":"1-13","source":"Crossref","is-referenced-by-count":3,"title":["HARQ-Chaotic: Analog Chaotic Code Applied in HARQ Scheme of Wireless Communication System"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5168-6052","authenticated-orcid":true,"given":"Wei","family":"Yu","sequence":"first","affiliation":[{"name":"College of Electronic and 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