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Time-series analysis of nonstationary plasma fluctuations using wavelet transforms

Journal Article · · Review of Scientific Instruments
DOI:https://doi.org/10.1063/1.1147715· OSTI ID:451910
; ; ;  [1]
  1. Fusion Research Center, The University of Texas at Austin, Austin, Texas 78712-1084 (United States)
A wavelet or time-scale approach to analyzing a single time series and two time series, in which the fluctuating quantities are statistically nonstationary, is presented. The time scale and scale {open_quotes}power spectra{close_quotes} are introduced and utilized to analyze transient potential fluctuations measured at the core of sawtoothing TEXT-U plasmas. The results show features that have not been previously observed using any Fourier techniques. In addition, the linear time-scale {open_quotes}coherence spectrum{close_quotes} is developed to quantify the degree of linear relationship between two nonstationary fluctuating quantities in the time-scale domain. Such a spectrum is also useful in tracking the time-varying phase difference. A numerical example is provided to demonstrate the efficacy of the time-scale spectra. {copyright} {ital 1997 American Institute of Physics.}
OSTI ID:
451910
Report Number(s):
CONF-960543--
Journal Information:
Review of Scientific Instruments, Journal Name: Review of Scientific Instruments Journal Issue: 1 Vol. 68; ISSN 0034-6748; ISSN RSINAK
Country of Publication:
United States
Language:
English