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    Fourier Transform of a Signal : Scaling and Time-Shift Property

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    Use tables and the scaling and time-shift property to find the Fourier transform of the signal below (which is zero for all other values of t than those shown, that is, it's not periodic)

    Plot the magnitude of the spectrum of this signal.

    Hint: Find the transform of the pulse centered around t=0, then use the time-shift property of the Fourier transform to get the transform of the pulse between 2 and 3. The result is the sum of these two responses by the linearity of the Fourier Transform.

    See the attached file.

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    Solution Summary

    The Fourier Transform of a signal is investigated. The solution is detailed and well presented.