Propagation of uncertainty in a discrete Fourier transform algorithm

Betta, G.; Liguori, Consolatina; Pietrosanto, Antonio

doi:10.1016/s0263-2241(99)00068-8

Cited by 104 publications

(29 citation statements)

References 18 publications

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“…an exactly integer number of signal periods sampled) the accuracy of the found RMS values is given mainly by the quantization noise and the errors of the ADC that is used. Uncertainties of the amplitude DFT spectrum for coherent sampling and no data window used are analysed in [9].…”

Section: Sinusoidal or Periodical Signal Coherent Samplingmentioning

confidence: 99%

RMS value measurement based on classical and modified digital signal processing algorithms

Novotný

Sedláček

2008

Measurement

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Section: Sinusoidal or Periodical Signal Coherent Samplingmentioning

confidence: 99%

RMS value measurement based on classical and modified digital signal processing algorithms

Novotný

Sedláček

2008

Measurement

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“…Analogously to Betta et al (2000), the standard uncertainties u(x i ) have been determined after making the folowing assumptions (Dmochowski & Dmochowski, 2005):…”

Section: Figurementioning

confidence: 99%

Experimental and theoretical investigations of the dynamic properties for tilting-pad journal bearings

Dmochowski

2008

Australian Journal of Mechanical Engineering

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Rotors of high-speed machinery are usually supported in tilting-pad journal bearings (TPJB), which offer inherent stability resulting from theoretically zero cross coupling dynamic coeffi cients. The rotordynamic analysis is usually based on linear bearing stiffness and damping coeffi cients calculated after ignoring pad mass and assuming synchronous shaft vibration (synchronously reduced coeffi cients). Measurement of the bearing dynamic properties has been a challenge for many years. This is particularly true for TPJB, which demonstrate a certain dependence on frequency of excitation. The paper presents theoretical and experimental evaluation techniques for stiffness and damping coeffi cients of TPJB. Some results are also shown. The theoretical results have been obtained from a computer model, which accounts for thermal and elastic effects, including those of pivot fl exibility. Experimentally, the dynamic coeffi cients have been evaluated from the measured excitation force, acceleration and bearing/shaft displacement using a power spectral density technique. The experimental investigations have been supplemented by uncertainty considerations for the frequency domain method. These considerations have been based on analysis of propagation of elemental errors associated with the measurements of displacement and acceleration. The results illustrate the effects of pivot fl exibility on the bearing stiffness and damping properties and their variations with frequency.

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“…Many Authors have dealt with the uncertainty assessment in the measurement performed by means of VIs and in [4][5][6][7][8][9] various interesting methodologies to accomplish this task are presented.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty Management in the measurements performed by means of virtual instruments

Nuccio

Spataro

2008

2008 IEEE Iinternational Workshop on Advanced Methods for Uncertainty Estimation in Measurement

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The uncertainty management is the discipline of optimising the cost of a measurement versus the uncertainty target. In particular, the paper deals with the measurements performed by using a generic virtual instrument. The task is achieved by using the PUMA (Procedure for Uncertainty Management) method that is an iterative technique originally conceived for geometrical and mechanical measurements. The approach is completely based on the "Guide to the Expression of Uncertainty in Measurement" rules, but provides a more engineering methodology, since it allows to optimize the cost of the measurements versus the uncertainty target, avoiding the use of inadequate or, on the contrary, too expensive resources for the uncertainty estimation. According to the PUMA method, four different approaches to evaluate the uncertainties are presented and they are applied starting from the coarser, but quicker and cheaper one and keeping on with the more precise methodologies. In the practical cases, it is very probable to prove that the first iteration of the PUMA method is enough to optimise the uncertainty budget.

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Propagation of uncertainty in a discrete Fourier transform algorithm

Cited by 104 publications

References 18 publications

RMS value measurement based on classical and modified digital signal processing algorithms

RMS value measurement based on classical and modified digital signal processing algorithms

Experimental and theoretical investigations of the dynamic properties for tilting-pad journal bearings

Uncertainty Management in the measurements performed by means of virtual instruments

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