SS_Assignment2_Tri - SIGNALS AND SYSTEMS Spring 2016...

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SIGNALS AND SYSTEMS Spring 2016 Assignment #2 Deadline: 06/06/2016, Final Q1 . [60 marks] A real-value signal x ( t ) and its Laplace transform X ( s ) have the following characteristics: a) X ( s ) has exactly two poles and one zero. b) X ( s ) has a pole at s =− 2 + j . c) X ( s ) = 1 when s = 0 d) x ( t ) = 2 when t = 0 e) x ( t ) is casual. 1/ Determine X ( s ) and its Region of Convergence 2/ Determine the real-time signal x ( t ) Hint: You should consider exponentially decaying sinusoidal signal. Q2 . [20 marks] The casual LTI system has the following Input-Output (I/O) equation: y [ n ] = x [ n ] + 5 6 y [ n 1 ] 1 6 y [ n 2 ] 1/ Find the Transfer function H ( z ) and the impulse response h [ n ] of the system 2/ Is the system stable? Give proper explanation. Q3. [20 marks] The output
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  • Fall '14
  • Duc
  • LTI system theory, *Hand written paper

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