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Unformatted text preview: 6. (a) Starting with the transfer function for a 2 nd order Butterworth prototype filter, ) ( s B , find the transfer function for a Butterworth bandpass filter, ) ( s H BP , with cutoff frequencies of 90 and 120 rad/sec. (b) Plot . . ) ( s v H BP using MATLAB. 7. Find the ztransform of (a) ( 29 ] 3 [ ] [ 5 1= n u n x n , by solving the defining summation formula. (b) ( 29 ] 2 [ ] [ 1 2 1=n u n x n , by using the table and properties. 8. Find the ztransform for the following repeating, infinite, sequences for n , when x [ n ]=0, < n : Note. It is possible to write a sequence as a combination of simpler ones. See Videos. (a) ,...} 1 , , , , 1 , , , , 1 { ] [ = n x a (b) ,...} , , 1 , 1 , , , 1 , 1 { ] [ = n x b (c) ,...} 1 , 1 , 2 , 2 , 1 , 1 , 2 , 2 { ] [ = n x c ....
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 Spring '07
 WOZNY

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