Consider a saw-tooth signal x(t) with fundamental period T 0 = 2 and period (a) Find the
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(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(t), find the Fourier coefficients Yk.
(c) The sum z(t) = x(t) + y(t) is a triangular function. Find the Fourier coefficients Zk and compare them to Xk + Yk.
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