5. Consider a digital filter whose z-domain transfer function is: H(z) = 1 + Bz-1 + 2-2 where B is a constant. (a) Write

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5 Consider A Digital Filter Whose Z Domain Transfer Function Is H Z 1 Bz 1 2 2 Where B Is A Constant A Write 1 (26.72 KiB) Viewed 57 times

5. Consider a digital filter whose z-domain transfer function is: H(z) = 1 + Bz-1 + 2-2 where B is a constant. (a) Write the difference equation of the filter (in the time domain). (5 marks) (b) Is this an FIR or an IR filter? (2 marks) (c) Calculate the poles and zeros of the filter. Sketch the pole-zero diagram for B=1. Is this filter stable? (10 marks) (d) Write h(n), the time-domain impulse response of the filter. (3 marks) 6. Given the following filter: y(n) = x(n) +0.7x(n-1) + x(n-3) + x(n-1) -0.2y(n-2) (a) draw the signal flow diagram; (8 marks) (b) calculate H(z), the z-domain transfer function. (7 marks)