q2 - 6.003 (Fall 2009) October 28, 2009 Quiz #2 Name:...

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6.003 (Fall 2009) Quiz #2 October 28, 2009 Name: Kerberos Username: Please circle your section number: Section Instructor Time 1 Marc Baldo 10 am 2 Marc Baldo 11 am 3 Elfar Adalsteinsson 1 pm 4 Elfar Adalsteinsson 2 pm Partial credit will be given for answers that demonstrate some but not all of the important conceptual issues. Explanations are not required and will not affect your grade. You have two hours. Please put your initials on all subsequent sheets. Enter your answers in the boxes. This quiz is closed book, but you may use two 8 . 5 × 11 sheets of paper (four sides total). No calculators, computers, cell phones, music players, or other aids. 1 2 3 4 5 6 Total / 18 / 16 / 12 / 20 / 16 / 18 / 100
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Quiz #2 / 6.003: Signals and Systems (Fall 2009) 2 1. Convolutions [18 points] Consider the convolution of two of the following signals. a ( t ) t 1 1 2 1 b ( t ) t 1 1 2 1 c ( t ) t 1 1 2 1 Determine if each of the following signals can be constructed by convolving ( a or b or c ) with ( a or b or c ). If it can, indicate which signals should be convolved. If it cannot, put an X in both boxes. Notice that there are ten possible answers: ( a a ), ( a b ), ( a c ), ( b a ), ( b b ), ( b c ), ( c a ), ( c b ), ( c c ), or (X,X). Notice also that the answer may not be unique. 1 4 1 2 t = a or b or c or X a or b or c or X 1 4 1 2 t = a or b or c or X a or b or c or X
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Quiz #2 / 6.003: Signals and Systems (Fall 2009) 3 1 4 1 2 t = a
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q2 - 6.003 (Fall 2009) October 28, 2009 Quiz #2 Name:...

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