HW5Ans_2005

# Digital Signal Processing: A Practical Approach (2nd Edition)

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Unformatted text preview: Homework #Set 5 Filter Realization and Design 1. 5 4 2 1 3 2 1 4 2 3 1 3 3 4 1 ) ( − − − − − − − + + − + + − + = z z z z z z z z H (a) direct form I ]. 5 [ ] 4 [ 4 ] 2 [ 2 ] 1 [ 3 ] 3 [ 3 ] 2 [ 3 ] 1 [ 4 ] [ ] [ − − − − − + − − − + − − − + = n y n y n y n y n x n x n x n x n y z-1 x [ n ] z-1 z-1 y [ n ] 4-3 2 z-1 z-1 z-1 z-1-3-4 1 3 z-1-1 4 2 1 3 2 1 2 3 2 2 3 3 4 ) ( − − − − − − + − + + − + = z z z z z z z H (b) direct form II ]. 3 [ 3 ] 2 [ 3 ] 1 [ 4 ] [ ] [ ] 5 [ ] 4 [ 4 ] 2 [ 2 ] 1 [ 3 ] [ ] [ − + − − − + = − − − − − + − − = n w n w n w n w n y n w n w n w n w n x n w x [ n ] z-1 z-1 y [ n ] 4-3 2 z-1 z-1-3-4 1 3 w [ n ] z-1-1 (c) transposed direct form I (d) transposed direct form II 2. 2 1 1 2 3 1 5 . 1 ) ( − − − + − + = z z z z H (a) direct form I block diagram z-1 x [ n ] z-1 z-1 y [ n ] 0.5 3-2 (b) direct form II block diagram x [ n ] z-1 z-1 y [ n ] 0.5 3-2 (c) parallel form 1 1 2 1 5 . 1 1...
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HW5Ans_2005 - Homework#Set 5 Filter Realization and Design...

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