How to deal with slowly varying errors?

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Slowly varying errors present a challenge as they do not fit neatly into the categories of random or systematic errors. These errors, often referred to as 1/f noise, exhibit characteristics that are neither completely correlated nor uncorrelated across measurements. To address this issue, it is recommended to explore resources on error and signal noise, particularly in physics or engineering literature. The complexity of dealing with such errors indicates that it is a significant topic requiring careful consideration. Understanding and managing these errors is crucial for accurate measurement and analysis.
odiakkoh
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Hi,

Here's a tricky sort of general problem I've been encountering quite a bit lately. It's all about errors that vary slowly.

So: the way I've always been taught to deal with errors is to lump them into two different categories: "random errors", that are independent between measurements, and "systematic errors" that are constant between measurements.

How on Earth do you deal with a type of error that fits into neither of these categories, but is somewhere in between... To be technical: the error is neither completely correlated, nor completely uncorrelated between measurements.

Does anyone have any advice, or know of any articles or books that may have some good practical advice about how to deal with this rather tricky kind of error?

Thanks in advance,
Matt
 
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It sounds like you're talking about what's known as 1/f noise (verbally, people pronounce it "one over f noise"). You might try googling "1/f noise" and see what comes up.

edit:
Or look at a book that deals with error and signal noise. There should be a few in any university physics or engineering department library.

edit #2:
This is not a trivial subject.
 
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