Problem 3: 2.5 A filter has impulse response h(t) shown in Figure 2.68. h(t) = -pr(t) + pr(t – T) + pr(t − 2T) - pr(t - 3T) + pr(t -

4T) - pr(t – 5T) – pr(t – 6T) 129 Note that each pulse lasts Ţ seconds since the plot has a scale of t/T. (a) The input x(1) to the filter is a single rectangular pulse of duration T. Find the output of the filter. Plot this from time-T to time 9T. (b) Using the result above and superposition (linearity principle), find the output due to the sequence of pulses shown in Figure 2.70. Plot the output from time - 1 to time 15T./nh(t) Figure 2.68 Figure 2.68 Impulse response for Problem 2.5. t/T Ly