fall 2003 EE 3120 test #2

# fall 2003 EE 3120 test #2 - 1 3 s H s-= 7 Use the s-domain...

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Name:_____________________________________ EE 3120 Test # 2 SSN:_______________________________________ Fall 2003 1. Find f ( k ), the inverse Laplace transform of ( ) F z . 2. Derive the z-transform of f ( k ) using the definition: 0 ( ) [ ] k k F z f k z - = = 3. Given F(s), find f ( t ) using the Laplace transform table.

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4. Find y ( t ) using graphical convolution of u ( t) and h ( t ). Flip h ( t ). 5. Use long division to verify the inverse Z transform of: ( ) 0.5 z F z z = - 6. Simplify the block diagram below by finding the overall system function. Leave your final answer in unfactored form. (multiply the factors out so N(s) and D(s) are in the form of a polynomial in s) 1 1 ( 1) H s s = + 2

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Unformatted text preview: ( 1) ( 3) s H s-= + 7. Use the s-domain to compute the transfer function of the circuit shown below. Plot the poles of H(s) and sketch general behavior of the time response for each pole. 8. Use z-transforms to find the output Y (z) for the following difference equation given. The initial conditions are not given. Write the total response Y (z) as a linear combination of the zero-input and zero-state response. a. What are the modes of the system? b. Plot the modes and poles of the system in the z-plane and from that tell what form of a response can be predicted from each pole....
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fall 2003 EE 3120 test #2 - 1 3 s H s-= 7 Use the s-domain...

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