Q7. (a) Figure Q7a shows the frequency responses of filters Hi, H2 and H3. Construct a system H with filters Hi, H2 and H such that the frequency response of the system is as shown in Figure Q7b Filter H 1 100 200 300 400 500 600 frequency (Hz) Filter H2 100 200 300 400 500600 frequency (Hz) Filter H 100 200 300 400 500 600 100 200 300 400 500 600 frequency (Hz) frequency (Hz) Figure Q7a Figure Q7b (6 marks) (b) A digital filter is constructed with functional components including delays, adders and multipliers. Its construction diagram is shown in Figure Q7c. Input Output Figure Q7c (i) Determine its transfer function in z domain (2 marks) (ii) Simplify the digital filter to reduce as many functional components as possible. Show your answer with a construction diagram of the simplified filter. (2 marks) Q7. (a) Figure Q7a shows the frequency responses of filters Hi, H2 and H3. Construct a system H with filters Hi, H2 and H such that the frequency response of the system is as shown in Figure Q7b Filter H 1 100 200 300 400 500 600 frequency (Hz) Filter H2 100 200 300 400 500600 frequency (Hz) Filter H 100 200 300 400 500 600 100 200 300 400 500 600 frequency (Hz) frequency (Hz) Figure Q7a Figure Q7b (6 marks) (b) A digital filter is constructed with functional components including delays, adders and multipliers. Its construction diagram is shown in Figure Q7c. Input Output Figure Q7c (i) Determine its transfer function in z domain (2 marks) (ii) Simplify the digital filter to reduce as many functional components as possible. Show your answer with a construction diagram of the simplified filter. (2 marks)