{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-8478805","patent":{"patent_number":"US-8478805","title":"Frequency synthesis with low resolution rational division decomposition","assignee":null,"inventors":[],"filing_date":"2011-01-05T00:00:00.000Z","publication_date":"2013-07-02T00:00:00.000Z","cpc_codes":["G06F"],"num_claims":27,"abstract":"A method is provided for synthesizing signal frequencies using low resolution rational division decomposition in a frequency synthesis device. An integer numerator (n) and an integer denominator (d) ratio is reduced; n/d=IO(NO/DO)=IO+NO/DO=(IO+1)−(DO−NO)/DO, and where NO/DO<1 and NO and DO are integers. NO is reduced; NO=In(Nn/Dn)=In+Nn/Dn=(In+1)−(Dn−Nn)/Dn, where In, Nn, and Dn are integers, and Nn/Dn<1. In, Nn, and Dn are used to create a final numerator divisor. DO is reduced; DO=Id(Nd/Dd)=Id+Nd/Dd=(Id+1)−(Dd−Nd)/Dd, where Id, Nd, and Dd are integers, and Nd/Dd<1. Id, Nd, and Dd are used to create a final denominator divisor. Finally, IO, the final numerator divisor, and the final denominator divisor are used to create a final divisor."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Frequency synthesis with low resolution rational division decomposition","description":"A method is provided for synthesizing signal frequencies using low resolution rational division decomposition in a frequency synthesis device. An integer numerator (n) and an integer denominator (d) r","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-8478805","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-8478805","citation_suggestion":"Patentable. \"Frequency synthesis with low resolution rational division decomposition\" (US-8478805). https://patentable.app/patents/US-8478805","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-8478805","json":"https://patentable.app/api/llm-context/US-8478805","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-31T06:31:38.155Z"}