Question

3. Consider the prototype low-pass Butterworth filter with e=1. a) Determine the pole values and sketch the location of the poles on the s-plane if the filter order N is 3. (5 marks) b) Discuss the technique that can be used to obtain a high-pass filter with arbitrary 6 from the prototype low-pass filter. (5 marks) c) For a high order filter approximating an ideal low-pass filter with a cut-off frequency of 450m, obtain an expression for the output response if the input is X(t)= 2cos(100pt)+ 3 sin (250pt)+ 6cos(630pt) (5 marks) d) Repeat question (c) if the filter approximates an ideal high-pass filter with a cut-off frequency of 500. Find the output response to the same input. (5 marks)
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Answer 1

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