AS YOU SEE ITS ONE QUESTION AND I ALSO KNOW THE CHEGG GUIDELINES SO ANSWER ALL OF THEM OTHERWISE I WILL DEVOTE IT. THANKS

Question Number 4 (CLO 4, PLO 4) 10 Marks Find the digital equivalent of a 2nd order Lowpass Butterwoth analog filter. Sampling frequency is 10KHz and digital cutoff frequency is 2K Hz. Answer the following questions. a) Write the transfer function equation of the designed filter. b) Write the time domain input/output equation of the designed filter. c) Sketch the pole zero plot of the designed filter. Write the locations of poles for the designed filter. Is the filter stable? d) Sketch the impulse response of the designed filter. e) What is the value of phase spectrum at 200, 300 and 400 Hz? Show if the change in phase is linear or not? Rubrics for each part: Working method: 1 Marks Correct answer: 1 Marks Question Number 4 (CLO 4, PLO 4) 10 Marks Find the digital equivalent of a 2nd order Lowpass Butterwoth analog filter. Sampling frequency is 10KHz and digital cutoff frequency is 2K Hz. Answer the following questions. a) Write the transfer function equation of the designed filter. b) Write the time domain input/output equation of the designed filter. c) Sketch the pole zero plot of the designed filter. Write the locations of poles for the designed filter. Is the filter stable? d) Sketch the impulse response of the designed filter. e) What is the value of phase spectrum at 200, 300 and 400 Hz? Show if the change in phase is linear or not? Rubrics for each part: Working method: 1 Marks Correct answer: 1 Marks