Spectrum diagrams

Complex waves can be decomposed into the simpler waves that make them up. We're interested in diagraming the frequencies and the amplitudes of these simpler waves.

E.g.,
100 Hz, 30 dB sine wave, red
200 Hz, 10 dB sine wave, blue
300 Hz, 20 dB sine wave, green

three waves superimposed

The simple waves that make up the complex wave are:

Component wave Frequency Amplitude
A 100 Hz 30 dB
B 200 Hz 10 dB
C 300 Hz 20 dB

We typically diagram these as vertical lines in a graph where the horizontal position represents the frequency of the simple wave and its height represents the amplitude:
spectrum diagram with 3 components

This kind of spectrum diagram is especially convenient for naturally occurring waves, which are typically composed of a lot of simple waves. Two examples:

A flute playing middle C: sound
flute waveform flute spectrum

A bass clarinet playing an A-sharp (two below middle C): sound
bass clarinet waveform bass clarinet spectrum

(Sounds and plots for the musical instruments come from Geoffrey Sandell's SHARC Timbre database at Loyola University Chicago.)

Warning: Don't confuse these spectrum diagrams with spectrograms (which we'll cover later).


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