Filter tailing at gaps and extreme ends of data - how to avoid?

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Donald John 2014-10-30

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https://ww2.mathworks.cn/matlabcentral/answers/160707-filter-tailing-at-gaps-and-extreme-ends-of-data-how-to-avoid

回答： Image Analyst 2014-10-30

I am using a Butterworth filter to remove the periodic signal from a data series. However at the ends (and at gaps) of the time-series the filter tails off? I attach an image to describe the effect I am talking about. The red line shows the filtered data, note that at the end of the series when the unfiltered data rises dramatically, the filter does not capture this effect.

Why does this happen and is there anyway of avoiding it?

This question is also linked to the following question: http://www.mathworks.com/matlabcentral/answers/159813-filling-data-gaps-in-a-periodic-timeseries-in-matlab

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Answer 1

Image Analyst 2014-10-30

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https://ww2.mathworks.cn/matlabcentral/answers/160707-filter-tailing-at-gaps-and-extreme-ends-of-data-how-to-avoid#answer_157159

Try copying the last elements (an amount equal to the filter window width) and then filter the extended signal. Then crop off the copied elements to get back to the original size. Not perfect but should be an improvement I think.