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Technical and scientific discussion of amps, cables and other topics.

Fourier transformations

Guys, I remember Fourier as someone who discovered that complex periodic waves in Nature (like an instrument stiking a note) can be mathmatically described by a series of simple sine and cosine waves folded or added on top of each other. The frequency and amplitude of the individual simple sine & cosine waves can be considered a labratory "fingerprint" APPROXIMATING the timbre or tonal character of an individual source.

The different sinusoidal components suggests the complex interaction of harmonics (of the string, for instance & the construction of the instrument) of the initial note as well as the decay. A musical note struck by an instrument is NOT a result of the interaction of a series of simple sine and cosine waves. Fourier analysis is a tool to help interpret and reproduce timbre, in a lab or on paper.

Most natural wave functions are complex. And any tool that helps to mathmatically describe them, helps the understanding of their interactions with other objects and forces in Nature.


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  • Fourier transformations - FenderLover 09/5/0918:21:16 09/5/09 (0)

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