Consider a signal f(t) with Fourier transform F(@). Suppose we are given the following clues about the signal. Clue 1: The signal f (t) is positive and real-valued. Clue 2: The inverse Fourier...

Extracted text: Consider a signal f(t) with Fourier transform F(@). Suppose we are given the following clues about the signal. Clue 1: The signal f (t) is positive and real-valued. Clue 2: The inverse Fourier transform of (3+ jw) F (@) is A e-St u(t), where A is a constant. Clue 3: The Fourier transform F(w) obeys 8. IF (@)? do = 6n. -8 Using these clues, 1) Determine the expression for f (t). (ii) Compute the energy of f (t). (iii) Compute the constant A.