Q1(a) In a Seismographic activity monitoring system, a vibration sensor system is picking up a noise at 100 Hz and another interference at 200 Hz. Using the pole and zero placements method, design a digital filter to remove the noise from the system. The rejection bandwidth at 100 Hz is required to be 5 Hz. The design must include: (i) A Plot of the pole-zero map of the system given that sampling frequency (fs) is 800 Hz; (ii) Evaluation of the transfer function of the system; [6] [6] [5] [5] [3] Total 25 Marks (iii) Evaluation of the difference equation of the system; (iv) A sketch of the filter structure; (v) A sketch the frequency response of the system.