2022
DOI: 10.36227/techrxiv.21624822
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Signal Averaging in Wavelet Domain

Abstract: <p>We present a method to implement signal averaging using wavelet transforms. Signal averaging plays an essential role in reducing noise from physical experiments, but is currently performed outside wavelet transforms and removes the information of individual data points or experimental scans. We introduce the conditions that need to be satisfied to implement signal averaging using wavelet transforms, showing that only the Haar wavelet can be used to obtain signal-averaged information. Our method identi… Show more

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