{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9813223","patent":{"patent_number":"US-9813223","title":"Non-linear modeling of a physical system using direct optimization of look-up table values","assignee":null,"inventors":[],"filing_date":"2014-01-30T00:00:00.000Z","publication_date":"2017-11-07T00:00:00.000Z","cpc_codes":["H04L","G06F","G06F","G06F","H04B","H04B","H04B","H04B","H04J","H04L","H04L","H04L","H04L","H04L","H04L","H04B"],"num_claims":16,"abstract":"Techniques for non-linear modeling of a physical system are provided using direct optimization of look-up table values. A non-linear system with memory is modeled by obtaining physical data for the non-linear system by applying a set of input samples x(n) to the non-linear system and measuring an output y(n) of the non-linear system; directly computing parameters Φ of a memory model for the non-linear system from the physical data, wherein the memory model comprises one or more look-up tables having linear interpolation and wherein the parameters Φ produce a substantially minimum mean square error; and providing the parameters Φ for storage as entries in the one or more look-up tables. The mean square error can be determined, for example, using one or more of a least squares algorithm, a least mean square algorithm and a recursive least squares algorithm. The look-up tables are optionally used in a processor instruction to implement digital pre-distortion."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Non-linear modeling of a physical system using direct optimization of look-up table values","description":"Techniques for non-linear modeling of a physical system are provided using direct optimization of look-up table values. A non-linear system with memory is modeled by obtaining physical data for the no","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9813223","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-9813223","citation_suggestion":"Patentable. \"Non-linear modeling of a physical system using direct optimization of look-up table values\" (US-9813223). https://patentable.app/patents/US-9813223","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9813223","json":"https://patentable.app/api/llm-context/US-9813223","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T09:24:24.329Z"}