I have a coordinate time series for 2 hours and 1 second interval (observation=7200). How can I compute the hourly amplitude from this data?
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If your data does not contain noise (You did not say nothing about it), then you can calculate amplitude very easy by using definition of amplitude:
A = (max(x) - min(x))/2, where x - your data
P.S. If you are not satisfied with the answer, then you need to clarify your question. In particular - what signal and what you mean by amplitude and how you going to use this number

SergV
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