ECE634S09_HW1 - ECE634 Signals and Systems II Spring 2009...

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ECE634 Signals and Systems II, Spring 2009 – Homework 1 Daniel S. Brogan 1 Show all work and write legibly for full credit. 1. Express the following number in polar form and Cartesian form: ( )( ) 2 1 2 A j j = + 2. Express the following number in polar form and Cartesian form: 3 /4 3 /4 1 2 j j B e e π π = + 3. Express the following number in polar form and Cartesian form: ( )( ) 1 1 j j C e e = + 4. Use partial fraction expansion on ( ) 2 3 2 3 19 24 5 6 s s H s s s s + + = + + 5. Use partial fraction expansion on ( ) ( ) ( ) 2 2 4 18 12 2 6 s s X s s s + + = + + 6. Use partial fraction expansion on ( ) 3 2 7 5 2 5 s Y s s s s = + + using only real numbers 7. Using direct integration of the unilateral Laplace transform integral, find the Laplace transform
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  • Spring '09
  • messner
  • Complex number, partial fraction expansion, unilateral LAPLACE transform

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