What does a spectrogram represent?

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SUMMARY

A spectrogram represents the distribution of frequencies in a time-varying signal, such as music, by utilizing the Fourier transform. In Audacity, the spectrogram displays amplitudes of specific frequencies over a few seconds, with peaks indicating the strength of sounds. Each peak corresponds to a sound, and the height of the peak reflects its loudness. The limitations of frequency representation depend on the update rate of the spectrogram, which can restrict the detection of lower frequencies.

PREREQUISITES
  • Understanding of Fourier transform principles
  • Familiarity with audio analysis software, specifically Audacity
  • Knowledge of frequency and amplitude concepts in sound
  • Basic grasp of stereo sound representation
NEXT STEPS
  • Explore the Fourier transform in depth
  • Learn how to analyze audio signals using Audacity
  • Investigate frequency binning techniques in spectrograms
  • Study the limitations of audio sampling rates and their impact on frequency representation
USEFUL FOR

Audio engineers, sound designers, musicians, and anyone interested in audio analysis and visualization techniques.

skyisthelimit
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Hi,

I am wondering what does a spectrogram represent? I know that a spectrogram displays the amplitudes of specific frequencies, however, in the program Audacity, it plots a spectrogram of an entire sound (a few seconds). What does this spectrogram represent, and how is it different to at an individual time?

cheers.
 
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Funny you bring Audacity up. Thanks to you I've just realized I installed it by mistake instead of Audacious.

You have two readouts, one is left speaker the other is right speaker.

That's your stereo.

Now, each peak represents a sound (if it was a simple drum beat each second you would have a single peak each second on the graph).

I believe that the higher the peak, the louder / stronger the sound is.

Here's the Wiki on it: http://en.wikipedia.org/wiki/Spectrogram
 


skyisthelimit said:
Hi,

I am wondering what does a spectrogram represent? I know that a spectrogram displays the amplitudes of specific frequencies, however, in the program Audacity, it plots a spectrogram of an entire sound (a few seconds). What does this spectrogram represent, and how is it different to at an individual time?

cheers.

A spectrogram is basically the Fourier transform of a signal. For example, if you have a time-varying signal (like music), the spectrogram tells you the distribution of frequencies in the music.

There's a few subtleties to consider- a time-varying spectrogram means there is a lower limit on the frequency that can be represented (for example, a spectrogram that updates 30 times a second can't tell you anything about frequencies below about 60 Hz), and the spectrogram also 'bins' the frequencies like a histogram, but those are usually minor details.
 

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