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Unformatted text preview: (c) x c [ n ]={0 ,0,1,1,0,0,1,1,. ..}. 4(25). A firstorder, recursive, digital lowpass filter is described by ] 1 [ 3 1 ] [ 2 1 ] 1 [ 2 1 ] [ + = n x n x n y n y . (a) Find the transfer function of the lowpass filter. ) ( z H (b) Find the impulse response of the lowpass filter using ztransforms. (c) Find the step response of the lowpass filter using ztransforms. (d) Plot the polezero diagram of H ( z ) in the zplane. (e) Is the lowpass filter stable? Why or why not? 5(20). Find the closed form analytic expressions for the inverse ztransforms of the following. Use tables and properties. (a) 2 4 1 1 1 1 ) ( = z z z X a (b) ( ) ( ) 1/z z z = (z) X 1b 2 1 1 2...
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 Spring '07
 WOZNY

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