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Consider the following system functions for stable LTI systems. Without utilizing the
Chapter 10, Problem 10.16(choose chapter or problem)
Consider the following system functions for stable LTI systems. Without utilizing the inverse z-transform, determine in each case whether or not the corresponding system is causal. 1 4 -1 + I -2 (a) - 3z 2z z- 1(1- 4z- 1)(1- ~z- ) (b) (c) z-! 2 2 I _ 3 z + 2z 16 z + 1 z +:!- !z-2 - ~z- 3
Questions & Answers
QUESTION:
Consider the following system functions for stable LTI systems. Without utilizing the inverse z-transform, determine in each case whether or not the corresponding system is causal. 1 4 -1 + I -2 (a) - 3z 2z z- 1(1- 4z- 1)(1- ~z- ) (b) (c) z-! 2 2 I _ 3 z + 2z 16 z + 1 z +:!- !z-2 - ~z- 3
ANSWER:Step 1 of 4
(a)
Calculating the poles of a given system function. Equating the denominator to zero,
For the first term,