How to deal with slowly varying errors?

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SUMMARY

The discussion centers on addressing slowly varying errors, which do not fit neatly into the categories of random or systematic errors. Participants identify this type of error as akin to 1/f noise, suggesting that traditional methods of error categorization may not apply. Recommendations include researching 1/f noise and consulting literature on error and signal noise for practical strategies. The complexity of this topic is acknowledged, indicating that it requires a deeper understanding of error analysis.

PREREQUISITES
  • Understanding of random and systematic errors
  • Familiarity with 1/f noise concepts
  • Knowledge of error analysis techniques
  • Basic principles of signal processing
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  • Research "1/f noise" and its implications in error analysis
  • Explore literature on error and signal noise
  • Study advanced error analysis techniques in physics and engineering
  • Investigate practical applications of signal processing in error management
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Researchers, engineers, and data analysts dealing with complex error types in experimental data, particularly those interested in advanced error analysis and signal processing techniques.

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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