SPHR 2107 Lecture Notes - Lecture 4: Joseph Fourier, Square Wave, Fourier Analysis

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Definition: a complex sound is any sound wave that is not sinusoidal. Most of the sounds of the world are complex. When multiple sine waves are added together, they result in a complex wave. 2 pure tones of the same frequency, but different phase or different amplitudes. Let"s look at the process of adding waves that are in different phase relationships and different frequencies. An example of how phase relation and amplitude affect the resultant signal. A more complete series of components is needed to produce a square wave. First described by a french mathematician, joseph fourier. The degree of complexity of a complex sound wave depends on the number of sine waves that are combined and on the specific dimensional value (a, f, phase) of these components. Today, the process of breaking down a complex wave into its component sinusoids is called a fourier analysis. A second type of graph - the spectrum.

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