2. (Continuous-time Fourier transform) The continuous-time signal x(t) is described by the figure below. x(t) 2 1 t -1 0 1 2 3 (a) Find X(j0). (b) Find $\int_{-\infty}^{\infty} X(j\omega)d\omega$. (hint: please inspect the synthesis equation) (c) Find $\int_{-\infty}^{\infty} X(j\omega)e^{j2\omega}d\omega$.
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Step 1: To find X(j0), we need to evaluate the Fourier transform of x(t) at the frequency j0. Show more…
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