Skip to main content
Chemistry LibreTexts

Ensemble Averaging Exercise

  • Page ID
    77548
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    An ensemble averaging spreadsheet similar to the Signal Noise Exercise spreadsheet can be accessed by clicking here.

    1. Adjust the following parameters in the ensemble averaging spreadsheet:
      • Peak #1 Intensity = 2 μV (Peaks 2 & 3 should have zero intensity)
      • Peak #1 Mean = 1 minute
      • Peak #1 Standard Deviation = 0.01 minute
      • Noise = 6 μV
    2. Adjust the number of datasets averaged in the spreadsheet
      • Top = 1 dataset
      • Middle = 16 datasets
      • Bottom = 100 datasets
    3. How does the S/N improve with the number of datasets averaged?
    4. Compare the appearance of the original signal with the ensemble averaged signal.

    This page titled Ensemble Averaging Exercise is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Contributor.

    • Was this article helpful?