02_Discrete_Time_Signals_Systems_Release

# The transfer function of an lti system has the pole

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16. The transfer function of an LTI system has the pole-zero plot shown below. Specify whether each of the following statements is true, false, or cannot be determined from the information given. 17. A causal LTI system has transfer function 1 1 1 1 1 2 4 1 ( ) (1 )(1 ) - - - + = - + z H z z z (a) What is the region of convergence (ROC) of ( ) H z ? (b) Is the system stable? Explain. (c) Find the z -transform of the input [ ] x n , including the ROC, that yields the output ( ) ( ) 1 1 4 3 4 3 [ ] [ ] 2 [ 1] = - - - - - n n y n u n u n Hint. First find the z -transform of [ ] y n , including its ROC.
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• Three '10
• 1
• LTI system theory, Curtin University, YH Leung

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