A Frequency Measure Robust to Linear Filtering | Zendy

Axel G. Rossberg | Zendy

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A Frequency Measure Robust to Linear Filtering

Author(s) -

Axel G. Rossberg

Publication year - 2004

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.112.907

Subject(s) - measure (data warehouse) , physics , signal (programming language) , series (stratigraphy) , linear filter , instantaneous phase , spectral density , nonlinear system , basis (linear algebra) , phase space , noise (video) , mathematical analysis , mathematics , filter (signal processing) , computer science , statistics , quantum mechanics , artificial intelligence , paleontology , geometry , database , image (mathematics) , computer vision , biology , programming language

A definition of frequency (cycles per unit-time) based on an approximatereconstruction of the phase-space trajectory of an oscillator from a signal isintroduced. It is shown to be invariant under linear filtering, and thereforeinaccessible by spectral methods. The effect of filtering on frequency in caseswhere this definition does not perfectly apply is quantified.Comment: 10 pages, 2 figure

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