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
Posted: Mon May 02, 2022 2:39 pm
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)