How can I resample data with errors linearly in log space?

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Discussion Overview

The discussion centers around the process of resampling data and its associated errors in a logarithmic space, specifically in the context of astronomical spectra. Participants explore methods for interpolation and the treatment of errors during this process.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks guidance on how to resample data and calculate errors linearly in log space while maintaining the same number of points.
  • Another participant questions the meaning of "resample" in the context of interpolation, suggesting a need for clarification.
  • It is proposed that if the data points are being interpolated, the errors should also be interpolated, treating them similarly to the original data points.
  • A participant mentions that the data in question comes from experimental errors in astronomy, indicating that rebinning from linear to logarithmic wavelength while maintaining signal-to-noise is a common practice.
  • A specific method using an IRAF package is referenced as an example of how this resampling has been accomplished.

Areas of Agreement / Disagreement

Participants express differing views on the legitimacy of interpolating experimental errors, with some suggesting it may not be appropriate while others indicate it is a common practice in certain contexts.

Contextual Notes

The discussion highlights potential limitations regarding the appropriateness of interpolating experimental errors, as well as the assumptions underlying the treatment of data in logarithmic space.

Veles
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I need to resample a set of data and its errors linearly in log space, with the same number of points. I was just going to interpolate between points to get the data - but how do I calculate the errors?
 
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what do you mean with "resample" if then you talk about interpolating them?
 
If you're interpolating data points, why not interpolate their errors? The errors produce two additional sets of data points above/below the original data. Treat them the same way you're treating your original data.

I assume the "data" are from a numerical simulation? Otherwise it is probably not legit to interpolate experimental errors.
 
Its experimental errors in astronomy in a spectra. It seems to be quite a commonly done thing - rebinning from linear wavelength to logarithmic whilst maintaining the overall signal to noise. Given that it is "non legit" I should have probably asked in the physics rather than maths forum!

For example I have done it using this IRAF package. http://drforum.gemini.edu/wp-content/uploads/2014/05/README.txt
 

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