{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/maximal-spectral-efficiency-of-ofdm-with","title":"Maximal Spectral Efficiency of OFDM with Index Modulation under Polynomial Space Complexity","arxiv_id":"1908.02860","date":"2020-01-24","proceeding":null,"authors":[],"abstract":"In this letter, we demonstrate a mapper that enables all waveforms of OFDM\nwith Index Modulation (OFDM-IM) while preserving polynomial time and space\ncomputational complexities. Enabling all OFDM-IM waveforms maximizes the\nspectral efficiency (SE) gain over the classic OFDM but, as far as we know, the\ncomputational overhead of the resulting mapper remains conjectured as\nprohibitive across the OFDM-IM literature. We show that the largest number of\nbinomial coefficient calculations performed by the original OFDM-IM mapper is\npolynomial on the number of subcarriers, even under the setup that maximizes\nthe SE gain over OFDM. Also, such coefficients match the entries of the\nso-called Pascal's triangle (PT). Thus, by assisting the OFDM-IM mapper with a\nPT table, we show that the maximum SE gain over OFDM can be achieved under\npolynomial (rather than exponential) time and space complexities.","url_abs":"http://arxiv.org/abs/1908.02860v3","url_pdf":"http://arxiv.org/pdf/1908.02860v3.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"maximal-spectral-efficiency-of-ofdm-with","repo_url":"https://github.com/sauloqueiroz/lib-ofdmim","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}