A frequency measure robust to linear filtering

Details A frequency measure robust to linear filtering A frequency measure robust to linear filtering

2003-05-21

arxiv.org/abs/nlin/0305038v1

Nonlinear Sciences

Chaotic Dynamics

10 pages, 2 figures

Scientific paper

10.1143/PTP.112.907

A definition of frequency (cycles per unit-time) based on an approximate
reconstruction of the phase-space trajectory of an oscillator from a signal is
introduced. It is shown to be invariant under linear filtering, and therefore
inaccessible by spectral methods. The effect of filtering on frequency in cases
where this definition does not perfectly apply is quantified.

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