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Unformatted text preview: ECE 101 Linear Systems Fundamentals Problem Set # 6 Solutions December 1, 2009 (send questions/comments to psiegel@ucsd.edu) Speed Problems 9.1 a. b. c. d. e. f. Note : In e. and f., we use the fact that 9.3 The ROC is given by . x(t) is a sum of two signals. The ROC of the first signal is }. The ROC of the second signal is }. The ROC of the sum is atleast Therefore for the ROC to be we need to have and there is no restriction on the imaginary part of . 9.6 A. Since x(t) has a pole, it cannot be of finite duration. B. Since x(t) has a pole at 2 and it is absolutely integrable (ROC includes the imaginary axis), its ROC cannot be right sided. Hence x(t) could be leftsided. C. x(t) cannot be rightsided as reasoned in B. D. x(t) can be twosided, if it has atleast one more pole on to the left of the imaginary axis. 9.10 A. The poles are both on the real axis. If we move on the imaginary axis starting from the origin, the denominator of the transfer function will be smallest in magnitude at the origin...
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This document was uploaded on 05/26/2010.
 Spring '09

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