Data-driven optimal filtering for phase and frequency of noisy oscillations: Application to vortex flow metering

Axel Rossberg, K. Bartholome, J. Timmer

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

A method for measuring the phase of oscillations from noisy time series is proposed. To obtain the phase, the signal is filtered in such a way that the filter output has minimal relative variation in the amplitude over all filters with complex-valued impulse response. The argument of the filter output yields the phase. Implementation of the algorithm and interpretation of the result are discussed. We argue that the phase obtained by the proposed method has a low susceptibility to measurement noise and a low rate of artificial phase slips. The method is applied for the detection and classification of mode locking in vortex flow meters. A measure for the strength of mode locking is proposed.
Original languageEnglish
Article number016216
Pages (from-to)162161-1621611
Number of pages1459451
JournalPhysical Review E
Volume69
Issue number1 2
DOIs
Publication statusPublished - Jan 2004

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

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