Problem 1: Determine the Fourier Transform of each of the following periodic signals:
(a) sin (2πt + π/4)
(b) 1 + cos (6πt + π/8)
Problem 2: Consider the signal
x(t) = k=-∞Σ∞ (sin(k(π/4))/(k(π/4))) δ(t - k(π/4))
(a) Determine g(t) such that
x(t) = (sint/πt) g(t)
(b) Use the multiplication property of the Fourier transform to argue that X(jω) is periodic. Specify X(jω) over one period.
Textbook - Signals and Systems (2nd Edition) by Alan V. Oppenheim, Alan S. Willsky.
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