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Q2(a) Design a suitable 7-tap FIR filter using the Hamming window function for the noisy digital signal in Question 1. (Show your filter design and its filter coefficients with handwritten calculation) (5 marks) (6) From Q2(a), derive the transfer function and difference equation of the FIR system. (2 marks) (c) Verify your design with Matlab by: (1) Generate the FIR filter coefficients. (1 mark) (ii) Construct the magnitude response and phase response. (1 mark) (iii) Apply the FIR filter to the noisy digital signal in Question 1 by showing its filtered frequency spectrum. (1 mark) Q2(a) Design a suitable 7-tap FIR filter using the Hamming window function for the noisy digital signal in Question 1. (Show your filter design and its filter coefficients with handwritten calculation) (5 marks) (6) From Q2(a), derive the transfer function and difference equation of the FIR system. (2 marks) (c) Verify your design with Matlab by: (1) Generate the FIR filter coefficients. (1 mark) (ii) Construct the magnitude response and phase response. (1 mark) (iii) Apply the FIR filter to the noisy digital signal in Question 1 by showing its filtered frequency spectrum. (1 mark)