Question: Given the analog Butterworth filter described by the transfer function ( ) 1 0 0 5 0 0 0 5 0 0 0 2 +

Given the analog Butterworth filter described by the transfer function ()100500050002++= s s H s .(a) Find the magnitude of the gain of the analogue filter at dc and at a frequency of 10 Hz.(5 Marks)(b) Using the bilinear transform method, design an equivalent digital filter. (Use a sampling frequency of 50 Hz).(5 Marks

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