{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T20:29:16Z","timestamp":1762374556351,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,23]],"date-time":"2025-07-23T00:00:00Z","timestamp":1753228800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["62101195","61901182","2024J01079","2020J05056","3502Z202472013","ZQN-1008","ZQN-1005"],"award-info":[{"award-number":["62101195","61901182","2024J01079","2020J05056","3502Z202472013","ZQN-1008","ZQN-1005"]}]},{"name":"Natural Science Foundation of the Fujian Province, China","award":["62101195","61901182","2024J01079","2020J05056","3502Z202472013","ZQN-1008","ZQN-1005"],"award-info":[{"award-number":["62101195","61901182","2024J01079","2020J05056","3502Z202472013","ZQN-1008","ZQN-1005"]}]},{"name":"Natural Science Foundation of Xiamen","award":["62101195","61901182","2024J01079","2020J05056","3502Z202472013","ZQN-1008","ZQN-1005"],"award-info":[{"award-number":["62101195","61901182","2024J01079","2020J05056","3502Z202472013","ZQN-1008","ZQN-1005"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["62101195","61901182","2024J01079","2020J05056","3502Z202472013","ZQN-1008","ZQN-1005"],"award-info":[{"award-number":["62101195","61901182","2024J01079","2020J05056","3502Z202472013","ZQN-1008","ZQN-1005"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>An analog joint source-channel coding (AJSCC) based on Shannon\u2013Kotel\u2019nikov (S-K) mapping transmitting discrete-time encoded samples in orthogonal frequency division multiplexing (OFDM) systems over wireless channel has exhibited excellent performance. However, the phenomenon of carrier frequency offset (CFO) caused by the frequency mismatch between the transmitter\u2019s and receiver\u2019s local oscillators often exists in actual scenarios; thus, in this paper the performance of AJSCC-OFDM with CFO is analyzed and the S-K mapping is optimized. A joint optimization strategy is developed to maximize the signal-to-distortion ratio (SDR) subject to CFO constraints. Considering that the optimized AJSCC-OFDM strategies will change the amplitude distribution of encoded symbol, the peak-to-average power ratio (PAPR) characteristics under different AJSCC parameters are also analyzed.<\/jats:p>","DOI":"10.3390\/e27080778","type":"journal-article","created":{"date-parts":[[2025,7,23]],"date-time":"2025-07-23T11:52:47Z","timestamp":1753271567000},"page":"778","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Joint Optimization and Performance Analysis of Analog Shannon\u2013Kotel\u2019nikov Mapping for OFDM with Carrier Frequency Offset"],"prefix":"10.3390","volume":"27","author":[{"given":"Jingwen","family":"Lin","sequence":"first","affiliation":[{"name":"Xiamen Key Laboratory of Mobile Multimedia Communications, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6562-8507","authenticated-orcid":false,"given":"Qiwang","family":"Chen","sequence":"additional","affiliation":[{"name":"Xiamen Key Laboratory of Mobile Multimedia Communications, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-3786-6038","authenticated-orcid":false,"given":"Yu","family":"Hua","sequence":"additional","affiliation":[{"name":"Xiamen Key Laboratory of Mobile Multimedia Communications, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chen","family":"Chen","sequence":"additional","affiliation":[{"name":"Xiamen Key Laboratory of Mobile Multimedia Communications, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Xie, Z., Wang, Y., Xu, Y., Chen, P., and Fang, Y. (2025). Polarization-aided multi-user spatial modulation. IEEE Trans. Veh. Technol.","DOI":"10.1109\/TVT.2025.3550275"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1103","DOI":"10.1109\/JSAC.2025.3531540","article-title":"Source-constrained hierarchical modulation systems with protograph LDPC codes: A promising transceiver design for future 6G-enabled IoT","volume":"43","author":"Yang","year":"2025","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A mathematical theory of communication","volume":"7","author":"Shannon","year":"1948","journal-title":"Bell Syst. Tech. J."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Liang, J., Zhu, T., Wei, B., and Ma, X. (2023, January 10\u201312). A new JSCC scheme for transmission of Gaussian sources over AWGN channels. Proceedings of the 2023 IEEE\/CIC International Conference on Communications in China (ICCC), Dalian, China.","DOI":"10.1109\/ICCC57788.2023.10233613"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1109\/TCOMM.2023.3320699","article-title":"A new joint source-channel coding for short-packet communications","volume":"72","author":"Wang","year":"2024","journal-title":"IEEE Trans. Commun."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1109\/JRPROC.1949.232969","article-title":"Communication in the presence of noise","volume":"37","author":"Shannon","year":"1949","journal-title":"Proc. IRE"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1109\/TIT.1965.1053821","article-title":"Theoretical limitations on the transmission of data from analog sources","volume":"11","author":"Goblick","year":"1965","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1109\/TCOMM.2009.0901.070075","article-title":"Shannon-kotel\u2019nikov mappings in joint source-channel coding","volume":"57","author":"Hekland","year":"2009","journal-title":"IEEE Trans. Commun."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2491","DOI":"10.1109\/TIT.2023.3297962","article-title":"Shannon\u2013Kotel\u2019nikov mappings for analog point-to-point communications","volume":"70","author":"Floor","year":"2024","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"3016","DOI":"10.1109\/TCOMM.2011.081711.090298","article-title":"Analog joint source-channel coding using non-linear curves and MMSE decoding","volume":"59","author":"Hu","year":"2011","journal-title":"IEEE Trans. Commun."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1109\/TCOMM.2012.091212.110773","article-title":"Spatial diversity using analog joint source channel coding in wireless channels","volume":"61","author":"Brante","year":"2013","journal-title":"IEEE Trans. Commun."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"27894","DOI":"10.1109\/JIOT.2024.3360464","article-title":"Polarization-aided coding for nonorthogonal multiple access","volume":"11","author":"Xie","year":"2024","journal-title":"IEEE Internet Things J."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2312","DOI":"10.1109\/TCOMM.2015.2427164","article-title":"Evaluation of analog joint source-channel coding systems for multiple access channels","volume":"63","author":"Fresnedo","year":"2015","journal-title":"IEEE Trans. Commun."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Fresnedo, \u00d2., Gonz\u00e1lez-Coma, J.P., Castedo, L., and Garc\u00eda-Fr\u00edas, J. (September, January 31). Analog joint source channel coding for MIMO broadcast channels. Proceedings of the 2015 23rd European Signal Processing Conference (EUSIPCO), Nice, France.","DOI":"10.1109\/EUSIPCO.2015.7362514"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Fresnedo, \u00d2., Gonz\u00e1lez-Coma, J.P., Castedo, L., and Garc\u00eda-Fr\u00edas, J. (2013, January 16\u201319). Analog joint source-channel coding for OFDM systems. Proceedings of the 2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Darmstadt, Germany.","DOI":"10.1109\/SPAWC.2013.6612141"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"D42","DOI":"10.1364\/JOCN.9.000D42","article-title":"Blind transmitter IQ imbalance compensation in M-QaM optical coherent systems","volume":"9","author":"Nguyen","year":"2017","journal-title":"J. Opt. Commun. Netw."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Wang, K., Ma, Y., Liu, S., Loo, J., Lin, W., Deng, Z., and Li, J. (2025). Sampling frequency offset analysis and compensation for OFDM-based LEO satellite communication system. IEEE Trans. Commun.","DOI":"10.1109\/TCOMM.2025.3551634"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Diliyanzah, A., Astuti, R.P., and Syihabuddin, B. (2014, January 7\u20138). Dynamic CFO reduction in various mobilities based on extended Kalman filter for broadband wireless access technology. Proceedings of the 2014 6th International Conference on Information Technology and Electrical Engineering (ICITEE), Yogyakarta, Indonesia.","DOI":"10.1109\/ICITEED.2014.7007921"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1109\/26.380034","article-title":"BER sensitivity of OFDM systems to carrier frequency offset and Wiener phase noise","volume":"43","author":"Pollet","year":"1995","journal-title":"IEEE Trans. Commun."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2279","DOI":"10.1109\/TWC.2005.853884","article-title":"BER of OFDM systems impaired by carrier frequency offset in multipath fading channels","volume":"4","author":"Rugini","year":"2005","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Hua, Y., He, Y.-C., Chen, Q., and Fang, Y. (2025). Constellation Design and Joint Optimization of Analog Joint Source-Channel Coding. IEEE Trans. Commun.","DOI":"10.1109\/TCOMM.2025.3583641"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1109\/TBC.2008.915770","article-title":"An Overview: Peak-to-average power ratio reduction techniques for OFDM signals","volume":"54","author":"Jiang","year":"2008","journal-title":"IEEE Trans. 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