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fall 2003 EE 3120 test #1

fall 2003 EE 3120 test #1 - Name EE 3120 Test 1 SSN Fall...

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Name:_____________________________________     EE 3120           Test #  1 SSN:_______________________________________ Fall 2003 1. Express the signal in  Graph 1  in terms of step and ramp functions. 2. Sketch the following function and determine when the function has reached  zero. (Less than 1% of its maximum value)     0.05 ( ) 5 cos4 t y t e t - = for t>0 3. Consider the following function:    1 ( ) ( 4) y t t = -    Is this signal bounded for all  What constant, M bounds |y(t)| in the time interval [6, )? What constant, M bounds |y(t)| in the time interval [-10,0]? 4. Plot e -j3t  for t=1.
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5. When would we want to convert a discrete convolution for solving for y[k] into  a difference equation?  6. When would we want to convert a nonrecursive equation for y[k] into a  recursive equation? 7. When would we want to use a nonrecursive equation for solving y[k]?  8. The sinusoids in  Graph 7  are sampled as shown.  Determine if the discrete- time sequence will have the same digital frequency as the continuous signal.  Briefly explain your answer.
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