{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9621275","patent":{"patent_number":"US-9621275","title":"Method for generating constant modulus multi-dimensional modulations for coherent optical communications","assignee":null,"inventors":[],"filing_date":"2014-07-01T00:00:00.000Z","publication_date":"2017-04-11T00:00:00.000Z","cpc_codes":["H04B","H04B","H04L"],"num_claims":14,"abstract":"A method generates constant modulus multi-dimensional modulations for coherent optical communications by first projecting points in a constellation of the code onto a Poincare sphere or its higher-dimensional hyper-sphere. By using meta-heuristic procedures, nonlinear programming and gradient search methods, constellation points in the hyper-sphere are optimized in certain criteria, such as maximizing the minimum Euclidean distance, minimizing the union bound, minimizing the bit-error rate, minimizing the required signal-to-noise ratio, maximizing the nonlinear fiber reach, maximizing the phase noise tolerance, and maximizing the mutual information. Some methods use parametric unitary space-time block codes such as Grassmannian packing, and filter impulse response as well as unitary rotation over adjacent code blocks to generate near-constant modulus waveform, not only at the symbol timing, but also over the entire time."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Method for generating constant modulus multi-dimensional modulations for coherent optical communications","description":"A method generates constant modulus multi-dimensional modulations for coherent optical communications by first projecting points in a constellation of the code onto a Poincare sphere or its higher-dim","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9621275","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9621275","citation_suggestion":"Patentable. \"Method for generating constant modulus multi-dimensional modulations for coherent optical communications\" (US-9621275). https://patentable.app/patents/US-9621275","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9621275","json":"https://patentable.app/api/llm-context/US-9621275","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T07:23:25.048Z"}