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Q2(ii) Nth Order Butterworth filter An Nth order Butterworth filter has attenuation HB(jw) = 1 2N 1+ If N = 3, and we = 500 rads-, answer the following questions. d) What is the pass-band attenuation (in dB) of the Butterworth filter at Wp = 450 rads-> Round your answer to the nearest integer S e) What is the attenuation (in dB) of the Butterworth filter at the cut-off frequency we Round your answer to the nearest integer 500 rads?

f) What is the stop-band attenuation (in dB) of the Butterworth filter atw, = 500000 rads-l? Round your answer to the nearest integer. g) iii) What is the roll-off in the stopband in dB/decade? Round your answer to the nearest integer. w h) If the cut-off frequency is we 500 radst, for which angular frequency w rads" is the attenuation -80 dB? Round your answer to ogniz'lcant figurine

1) An Nth-order Butterworth filter is to be used as an antialiasing filter for audio signals sampled at 176.4 kHz. If the cut-off frequency of the anti-aliasing filter is to be 20 kHz, what is the minimum value for N required to achieve at least -80 dB attenuation at the Nyquist frequency? An integer expected. Hint you do not need to convert frequency from Hz to rad/s to answer this question. Submit part 1 mark