Consider a saw-tooth signal x(t) with fundamental period T 0 = 2 and period (a) Find the

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Consider a saw-tooth signal x(t) with fundamental period T0= 2 and period

t 0<t<1 x1 (t) = 0 otherwise

(a) Find the Fourier coefficients Xk using the Laplace transform. Consider the cases when kis odd and even (k ‰  0). You need to compute X0 directly from the signal.

(b) Let y(t) = x(ˆ’t), find the Fourier coefficients Yk.

(c) The sum z(t) = x(t) + y(t) is a triangular function. Find the Fourier coefficients Zand compare them to X+ Yk.

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