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    Fourier series expansions of Periodic Signals

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    Use the Fourier series expansions of periodic square wave and triangular signals to find the sum of the following series:

    1 - 1/3 + 1/5 - 1/7 + ...

    1 + 1/9 + 1/25 + 1/49 + ...

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    Solution Preview

    Please see the attached file.

    We write the triangle wave as:

    It looks like:

    This function is symmetric; hence we will expand it as a cosine series. For a function defined in the ...

    Solution Summary

    The solution explains the Fourier series expansions for the Periodic Signals. Periodic square waves and triangular signals to find the sum of functions are examined.