Given a periodic signal x(t) x(t) = (2+2j)e-j3t - 3je-j2t + 5 + 3jej2t + (2-2j)...

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Given a periodic signal x(t) x(t) = (2+2j)e-j3t - 3je-j2t + 5 + 3jej2t + (2-2j) ej³t (a) Compare with x(t) = ³_-3 X[k] ej2nkfpt, determine X[k] and fF (b) Justify x(t) is a real signal. (c) Rewrite x(t) to compact trigonometric form x(t) = A + Bcos(2t+a) + Ccos (3t+b). Determine A, B, C, a and b. Hint: convert x+yj form to |x' exp(jy') form Show the working steps and upload them in a pdf file. Given a periodic signal x(t) x(t) = (2+2j)e-j3t - 3je-j2t + 5 + 3jej2t + (2-2j) ej³t (a) Compare with x(t) = ³_-3 X[k] ej2nkfpt, determine X[k] and fF (b) Justify x(t) is a real signal. (c) Rewrite x(t) to compact trigonometric form x(t) = A + Bcos(2t+a) + Ccos (3t+b). Determine A, B, C, a and b. Hint: convert x+yj form to |x' exp(jy') form Show the working steps and upload them in a pdf file.