Problem 1. Fourier Transform of a Rectangular Pulse Consider the signal of Figure 1: Figure 1: Rectangular pulse signal 1a) 20 points: Find the Fourier Transform, in magnitude and phase. 1b) 30 points: (i) Sketch by hand the Spectral Density for \( a \) large and for \( a \) small. Explain in words the meaning of the Spectral Density in both cases. (ii) Create a MATLAB simulation experiment to verify your sketch.

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