{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9823898","patent":{"patent_number":"US-9823898","title":"Technique for determining nonlinear order-separated responses of nonlinear systems including linear response at system typical input levels","assignee":null,"inventors":[],"filing_date":"2015-09-30T00:00:00.000Z","publication_date":"2017-11-21T00:00:00.000Z","cpc_codes":["G06F","G06F","G06F","G06F"],"num_claims":20,"abstract":"A software application characterizes a nonlinear system by applying a series of test signals at full power and performing an algorithm on the resulting outputs to determine the true linear response and the order-separated outputs. The application generates a baseline test signal, multiplied by a gain factor. The application inputs the test signal to the system to produce a response. The application then generates another test signal by multiplying the baseline signal by a different gain factor. The application iterates generating test signals by multiplying by differing gain factors. The application then constructs a Vandermonde matrix of the gain factors, computes the inverse Vandermonde matrix, and convolves the inverse Vandermonde matrix with a matrix of the system responses to each of the test signals. The elements of the resulting convolution represent the order-separated outputs including the linear response output of the nonlinear system at full power."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Technique for determining nonlinear order-separated responses of nonlinear systems including linear response at system typical input levels","description":"A software application characterizes a nonlinear system by applying a series of test signals at full power and performing an algorithm on the resulting outputs to determine the true linear response an","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9823898","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-9823898","citation_suggestion":"Patentable. \"Technique for determining nonlinear order-separated responses of nonlinear systems including linear response at system typical input levels\" (US-9823898). https://patentable.app/patents/US-9823898","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9823898","json":"https://patentable.app/api/llm-context/US-9823898","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T07:17:48.654Z"}