Question

4. (a) Use the property of impulse function to evaluate the integrals (i) ???? ?(??2t)(t??) dt (ii) ??? t²[?(t?2)+?(t+4)]dt (b) Let f?(t) = ?(2t+2) ? ?(t?2), and let f?(t) be given by f?(t) = { 1, |t| < 1; 0, otherwise. Find and sketch the signal f(t) = f?(t) * f?(t). (c) A periodic train of unit impulse function are spaced 5T? seconds apart. Find the exponential Fourier series representation of this waveform.

          4. (a) Use the property of impulse function to evaluate the integrals
(i) ???? ?(??2t)(t??) dt  (ii) ??? t²[?(t?2)+?(t+4)]dt
(b) Let f?(t) = ?(2t+2) ? ?(t?2), and let f?(t) be given by f?(t) = { 1, |t| < 1; 0, otherwise.
Find and sketch the signal f(t) = f?(t) * f?(t).
(c) A periodic train of unit impulse function are spaced 5T? seconds apart. Find the exponential Fourier series representation of this waveform.