Differentiating noisy radiocommunications signals: wavelet estimation of a derivative in the presence of heteroscedastic noise

Paul D. Baxter and Graham J. G. Upton

Journal of the Royal Statistical Society Series C, 2005, vol. 54, issue 4, 753-767

Abstract: Summary. Radio scientists require estimates of the rate of change in rain‐induced signals. Unfortunately, these signals are observed in the presence of atmospheric noise, which has a variance that is dependent on temperature, pressure and other climatic variables. We develop a systematic approach to the problem, using wavelet differentiation combined with coefficient‐dependent thresholding, and illustrate the considerable benefits that this provides over more conventional techniques.

Date: 2005
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https://doi.org/10.1111/j.1467-9876.2005.0d521.x

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Persistent link: https://EconPapers.repec.org/RePEc:bla:jorssc:v:54:y:2005:i:4:p:753-767

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