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Consider the periodic function f(t) glt + 2n) in Fig. 1, where g(t) = [o(t) o(t - 1)] + e-t[o(t - 1) oft - 2)]

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Consider the periodic function f(t) glt + 2n) in Fig. 1, where g(t) = [o(t) o(t - 1)] + e-t[o(t - 1) oft - 2)] and where o(t) is the step function. n=-00 1 f(0) 0.5 un 0 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.51 1.5 2 2.5 3 3.5 1 Figure 1: Periodic function f(t). Determine an expression for the complex Fourier coefficients Ck and plot the one- sided amplitude spectrum Ax and the phase spectrum 4* for k = 0,...,5 (Hint #1: use Matlab to evaluate the integrals if little time remains; Hint #2: split the Fourier integral over one period up into two integration domains]

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