index - Fourier Synthesis A periodic signal can be...

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Fourier Synthesis A periodic signal can be described by a Fourier decomposition as a Fourier series, i. e. as a sum of sinusoidal and cosinusoidal oscillations. By reversing this procedure a periodic signal can be generated by superimposing sinusoidal and cosinusoidal waves. The general function is: The Fourier series of a square wave is or The Fourier series of a saw-toothed wave is The approximation improves as more oscillations are added.
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Object 1 A sample session would be as follows: To produce a saw-toothed wave, in the white box to the right of the word "Sin:" enter a formula such as 1/x or (-1^(x-1))/x . The variable "x" will be replaced by the term number, so the coefficients will have values of 1, 0.5, 0.3333,. .. IN ORDER FOR THE PROGRAM TO PARSE AN EXPRESSION, you must press the "Enter" key instead of leaving the box with the mouse or cursor keys. You can modify coefficients by using the formula box, the slider bars, or by entering an expression (such as 0.5 or -1/7) into the white box by each label.
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index - Fourier Synthesis A periodic signal can be...

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