In the name of GOD. Sharif University of Technology Digital Signal Processing Dr. M.T. Manzuri CE 40-763 Fall 2012 Homework 1 Problem 1 Oppenheim Problem 2.1 (a)-(e) Problem 2 Oppenheim Problem 2.11 Repeat for signal [ ] Problem 3 Oppenheim Problem 2.28 (a)-(d) Problem 4 Oppenheim Problem 2.33 Problem 5 Is the cascade connection of two stable LTI systems also stable? Justify your answer. Problem 6 Is the parallel connection of two stable LTI systems also stable? Justify your answer. Problem 7 Prove that an LTI system with impulse response h[n] is stable in BIBO sense if and only | [ ]| if ∑ 1 Problem 8 Oppenheim Problem 2.42 Problem 9 Oppenheim Problem 2.72 2
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