Spectral estimation of plasma fluctuations. I. Comparison of methods

Journal Article · Tue Mar 01 04:00:00 EST 1994 · Physics of Plasmas; (United States)

DOI:https://doi.org/10.1063/1.870794· OSTI ID:6686732

Riedel, K S; Sidorenko, A ^[1]; Thomson, D J ^[2]

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1. Courant Institute of Mathematical Sciences, New York University, New York, New York 10012-1185 (United States)
2. AT T Bell Laboratories, Murray Hill, New Jersey 07974-0636 (United States)

The relative root mean squared errors (RMSE) of nonparametric methods for spectral estimation is compared for microwave scattering data of plasma fluctuations. These methods reduce the variance of the periodogram estimate by averaging the spectrum over a frequency bandwidth. As the bandwidth increases, the variance decreases, but the bias error increases. The plasma spectra vary by over four orders of magnitude, and therefore, using a spectral window is necessary. The smoothed tapered periodogram is compared with the adaptive multiple taper methods and hybrid methods. It is found that a hybrid method, which uses four orthogonal tapers and then applies a kernel smoother, performs best. For 300 point data segments, even an optimized smoothed tapered periodogram has a 24% larger relative RMSE than the hybrid method. Two new adaptive multitaper weightings which outperform Thomson's original adaptive weighting are presented.

• OSTI ID: 6686732
• Journal Information: Physics of Plasmas; (United States), Journal Name: Physics of Plasmas; (United States) Vol. 1:3; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
CLOSED PLASMA DEVICES
DISPERSION RELATIONS
ELECTROMAGNETIC RADIATION
FLUCTUATIONS
FUNCTIONS
MATHEMATICS
MICROWAVE RADIATION
PLASMA DRIFT
RADIATIONS
SCATTERING
SPECTRAL DENSITY
SPECTRAL FUNCTIONS
THERMONUCLEAR DEVICES
TIME-SERIES ANALYSIS
TOKAMAK DEVICES
TURBULENCE
VARIATIONS