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Your signal (with initial par x0 =0.1) is already noise like and high frequency. It will be hard to distinguish it from the added white noise... One thing you can do is to interpolate (resample) the time series by a large enough factor and then later add the white noise. This will artifically help to separate the noise spectrum and your signal spectrum but ...


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The cropped image stems from slides named: Introduction to Medical Image Processing. It illustrates to me edges emphasis and/or contrast enhancement (unsharp masking) by non-linear coefficient weighting in appropriate wavelet domains. I would retrace the mammographic image and enhanced versions in papers by Andrew Laine and co-authors, like Enhancement by ...


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