Uncertainty propagation in the discrete-time wavelet transform
Lorenzo Peretto, Renato Sasdelli, Roberto Tinarelli
Abstract
Lorenzo Peretto, Renato Sasdelli, Roberto Tinarelli
Abstract
Signal analysis based on the wavelet transform is applied in many fields. Detection and classification of electromagnetic transients in power systems is a significant application. The use of the wavelet transform for measurement purposes involves issues of uncertainty evaluation. In this paper, an analytical model for the evaluation of the uncertainty affecting the details and the approximation coefficients determined means of the discrete-time wavelet transform is proposed. The results of some experimental work showing the performance of the method are also presented and discussed.
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Signal analysis based on the wavelet transform is applied in many fields. Detection and classification of electromagnetic transients in power systems is a significant application. The use of the wavelet transform for measurement purposes involves issues of uncertainty evaluation. In this paper, an analytical model for the evaluation of the uncertainty affecting the details and the approximation coefficients determined means of the discrete-time wavelet transform is proposed. The results of some experimental work showing the performance of the method are also presented and discussed.
Key concepts: Wavelet transform, Discrete wavelet transform, Harmonic wavelet transform, Second-generation wavelet transform, Stationary wavelet transform, Wavelet, Wavelet packet decomposition, Lifting scheme