These figures were constructed using the following matlab code: SawToothFourier. The last figure shows the Error between the Fourier Series truncated after the first terms and the function itself. The second figure shows the function truncated after 1, 3, 5, 10, 50, and terms. The first graph shows the solution truncated after the first terms of the infinite sum, as well as each of the contributing sine waves with offset. The figures below graph the first few iterations of the above solution. Demon spirit seed manual season 2 release dateįorwe have. Now, for we must consider the case when separately. It remains, then, only to find the expression for and. For the sawtooth function given, we note thatand an obvious choice for is 0 since this allows us to reduce the equation to. As shown in class, the general equation for the Fourier Transform for a periodic function with period is given by.
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