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Oscilloscope-like plotting of signals, showing waveform density instead of peak amplitude silhouettes

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Oscilloscope-like plotting of signals, showing density of waveforms instead of just the peak amplitude silhouettes.

Vertical cross section through this plot is a histogram of the waveform values for that chunk as brightness.

Input signal must have been sampled at twice the highest frequency present in the signal, like audio.

Signal is first FFT interpolated to get inter-sample information, then broken up into overlapping chunks, 1 for each pixel, then those are linear interpolated, with each line segment contributing to 1 or 2 pixels, depending on where it occurs in the chunk.

To do

  • Handle line segments that go outside the visible range
  • Handle circularity/end behavior as a parameter
  • Fix white dots at endpoints
  • Read files one chunk at a time, FFT resample each chunk to avoid memory errors
  • Show original samples as circular dots when zoomed in enough
  • Show RMS value (window parameter?)
  • Show (intersample) peak value
  • Color the waveform based on spectral centroid, spectral content, etc.
  • Use randomized resampling? Completely different, though.

Related

Examples

Guitar pluck:

plot of guitar

Violins:

plot of violins

Sine wave:

plot of sine

Noise:

plot of noise

Triangle wave chirp showing it can deal with low-frequency waves, too:

plot of triangle chirp

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Oscilloscope-like plotting of signals, showing waveform density instead of peak amplitude silhouettes

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