A periodic signal x(t) is formed by repeating the pulse x(t) = 2A((t-3)/5) every 10 seconds.

(a) What is the Fourier transform of x(t).

(b) Compute the complex Fourier series of x,(t)?

(c) Give an expression for the autocorrelation function R (t) and the power spectrum density S().

X(1) = Xe/2mnt/T 11=-00 define y(t) = x(t-to). Compute an expression for the complex Fourier series expansion of y(t).