Consider the one-sided exponential function fi(t) = Ae-atu(t), where u(t) is the unit step function, a>0, and A > 0. (0) (ii) (1) (iv) Sketch the waveform of the signal, fi(t), marking the axis carefully. Calculate the Fourier transform of fi(t). Calculate the energy, E₁, in the signal fi(t). Determine the frequency wm such that the energy contributed by the spectral components of all the frequencies w such that w ≤ wm is 95% of the total signal energy E₁. You may assume the relationship: d dx tan a (²-) = Q² + 7²

In mathematics, the Fourier transformation is a mathematical transformation that rotates responsibilities by using region or time into tasks depending on the local or temporal frequency, such as the rendering of a musical track in step with existing volu…