Uncertainty Evaluation in Modelling of Acoustic Phenomena with Uncertain Parameters Using Interval Arithmetic

Batko, W.; Pawlik, Paweł

doi:10.12693/aphyspola.121.a-152

Cited by 13 publications

(8 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…the bootstrap method (Batko, Stępień, 2010;, reduction interval arithmetic (Batko, Pawlik, 2012a;2012b), time series analysis (Batko, Bal, 2010), or the propagation of probability distributions (Batko, Przysucha, 2010;. Finally, it should be added that not only sound noise measurements assume a normal probability distribution of results.…”

Section: Discussionmentioning

confidence: 99%

Analysis of the Accuracy of Uncertainty Noise Measurement

Przysucha¹,

Batko²,

Szeląg³

2015

Archives of Acoustics

View full text Add to dashboard Cite

The paper formulates some objections to the methods of evaluation of uncertainty in noise measurement which are presented in two standards : ISO 9612 (2009) and DIN 45641 (1990). In particular, it focuses on approximation of an equivalent sound level by a function which depends on the arithmetic average of sound levels. Depending on the nature of a random sample the exact value of the equivalent sound level may be significantly different from an approximate one, which might lead to erroneous estimation of the uncertainty of noise indicators. The article presents an analysis of this problem and the adequacy of the solution depending on the type of a random sample.

show abstract

Section: Discussionmentioning

confidence: 99%

Analysis of the Accuracy of Uncertainty Noise Measurement

Przysucha¹,

Batko²,

Szeląg³

2015

Archives of Acoustics

View full text Add to dashboard Cite

show abstract

“…Inequalities (10) and (13) determine only the limits of the quantization error. If one assumes that every measured value is as probable as the other values from the input range of the AD converter, the quantization error can be described in probabilistic categories.…”

Section: Measurement Error In Description Of a Measured Resultsmentioning

confidence: 99%

A New Conception of Measurement Uncertainty Calculation

Jakubiec

2013

Acta Phys. Pol. A

View full text Add to dashboard Cite

The paper presents a conception of uncertainty calculation of a result obtained in a direct measurement realized in conditions described by random errors. The conception basis on the error denition being an eect of analysis of a quantization process and, rst of all, it permits to determine uncertainty of a single measurement result in measuring and control systems processing signals varying in time. Division of the errors into two types A and B permits elaboration of such a procedure which enables uncertainty calculation for an average value of a series of measurements in the way close to this one proposed by GUM and widely discussed in last years. Theoretical considerations are illustrated by examples showing practical properties of the presented uncertainty calculation procedures.

show abstract

“…In order to determine the uncertainty in case of several types of errors, the analysis should be extended by determining the convolution of the probability density functions or application of a reductive interval arithmetic [19,23]. For errors with a non-standard probability distribution, the presented method is not directly applicable.…”

Section: Discussionmentioning

confidence: 99%

Propagation of Random Errors by the Discrete Wavelet Transform Algorithm

Roj

Dróżdż

2021

Electronics

View full text Add to dashboard Cite

The paper presents considerations concerning the transfer of random errors from the input to the output of the Discrete Wavelet Transform (DWT) algorithm. The concept of determining an uncertainty of its output data based on the probabilistic error description has been presented. The DWT is discussed as the product of the vector of input quantities and the matrix of algorithm coefficients. Calculations of the uncertainty of a single output result of the algorithm are described with assumption that the input quantities are burdened by random errors of known distributions. Theoretical considerations have been verified by simulation experiments using the Monte Carlo method. Determining the uncertainty at the DWT output is possible due to the specific properties of transferring random errors by linear and additive algorithms.

show abstract

Uncertainty Evaluation in Modelling of Acoustic Phenomena with Uncertain Parameters Using Interval Arithmetic

Cited by 13 publications

References 0 publications

Analysis of the Accuracy of Uncertainty Noise Measurement

Analysis of the Accuracy of Uncertainty Noise Measurement

A New Conception of Measurement Uncertainty Calculation

Propagation of Random Errors by the Discrete Wavelet Transform Algorithm

Contact Info

Product

Resources

About