# Homework7 - BME 343 Homework Set#7 Problem 1 Using the definition of the z-transform find the z-transform and the ROC for each of the following

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Unformatted text preview: BME 343 Homework Set #7 Problem 1. Using the definition of the z-transform, find the z-transform and the ROC for each of the following signals. (a) u[n-m] (b) ¡ ¢£¤ ¥¤ ¦§¤¨ (c) ¡ ©ª¢ ¥¤ ¦§¤¨ Problem 2. Find the inverse z-transform of the following: (a) «¬«­®¯ « ° ­±«²³ (b) «­® « ° ­±«²³ (c) ¬´ µ° ­¶¯« ¬«­´ µ° ¯¬«­¶¯ (d) ¬«­·¯ ° « ¸ Problem 3. Find the z-transform of the signal illustrated in Fig. P3. Solve this problem in two ways, as in Examples 5.2d and 5.4. Verify that the two answers are equivalent. Figure P3. Problem 4. A system with impulse response h[n]=2(1/3) n u[n-1] produces an output y[n]=(-2) n u[n-1]. Determine the corresponding input x[n]. Problem 5. For an LTID system specified by the equation ¹§¤ º »¨ ¼ ½¾¿¹§¤¨ À ÁÂ§¤ º »¨ º ½¾ÃÂ§¤¨ (a) Find the amplitude and the phase response....
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## This note was uploaded on 12/14/2011 for the course BME 343 taught by Professor Emelianov during the Spring '09 term at University of Texas at Austin.

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Homework7 - BME 343 Homework Set#7 Problem 1 Using the definition of the z-transform find the z-transform and the ROC for each of the following

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