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Fourier Series Coefficients of a Rectangular Pulse Signal
Nasser M. Abbasi, updated June 25, 2011

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  1. demo location at Wolfram research page
  2. Source code listing in plain text
  3. Mathematica notebook

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This Demonstration determines the magnitude and phase of the Fourier coefficients for a rectangular pulse train signal. A rectangular pulse is defined by its duty cycle (the ratio of the width of the rectangle to its period) and by the delay of the pulse. In this Demonstration, the pulse period is fixed at one second and the height is fixed at unity. You can vary the delay and the duty cycle as well as the number of Fourier coefficients. Since the signal is a real signal, the magnitude plot is an even function and the phase plot is an odd function

me 2012-05-07