Homework_7

Homework_7 - 1 EE113 Homework 7 Problem 10.13 Determine all possible sequences x n with z –transform X z = z 2 z 2 z 1 2 Problem 10.17 Let X z =

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Unformatted text preview: 1 EE113 Homework 7 Problem 10.13 Determine all possible sequences x ( n ) with z –transform X ( z ) = z- 2 z 2- z + 1 2 Problem 10.17 Let X ( z ) = 1 z- 1 2 · 1 z 2 + 1 , | z | > 1 Decide whether x ( n ) is a causal sequence without inverting the transform. Problem 10.21 Use the z-transform technique to evaluate the convolution parenleftbigg 1 2 parenrightbigg n- 1 u ( n- 2) ⋆ bracketleftBigg 1 + parenleftbigg 1 3 parenrightbigg n +1 bracketrightBigg u ( n ) Problem 10.27 Consider a causal system that is described by the difference equation y ( n ) = 5 6 y ( n- 1)- 1 6 y ( n- 2) + x ( n- 2) , y (- 2) = 0 , y (- 1) = 1 Determine its complete response to the sequence x ( n ) = ( n- 1) parenleftbigg 1 4 parenrightbigg n- 2 u ( n- 1) Problem 11.1 Find the transfer functions, and the corresponding ROCs, of the LTI systems described by the following impulse response sequences: (a) h ( n ) = ( 1 2 ) n- 1 u ( n- 3) ....
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This note was uploaded on 01/24/2012 for the course EE 113 taught by Professor Walker during the Fall '08 term at UCLA.

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Homework_7 - 1 EE113 Homework 7 Problem 10.13 Determine all possible sequences x n with z –transform X z = z 2 z 2 z 1 2 Problem 10.17 Let X z =

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