Consider a periodic signal x(t) with fundamental period T 0 =1 and a period x 1 (t)
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Consider a periodic signal x(t) with fundamental period T0 =1 and a period x1(t) = −0.5t[u(t) − u(t − 1)].
(a) Consider the derivative g(t) = dx(t)/dt. Indicate if g(t) is periodic and if so give its fundamental period.
(b) Find the Fourier series of g(t) and use it to find the Fourier series of x(t).
(c) Suppose you consider the signal y(t) = 0.5 + x(t). Find the Fourier series of y(t).
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a g 1 t dx 1 tdt 05ut ut 1 05t 1 so that periodic of fu...View the full answer
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