final

# final - 6.003(Spring 2010 Final Examination Name Kerberos...

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x [ n ] α 0 α 1 α 2 α 3 α 4 0 3 6 9 12 3 6 2 Final Examination / 6.003: Signals and Systems (Spring 2010) 1. Z Transform [10 points] Find the Z transform of x [ n ] deﬁned as x [ n ] = α å n/ 3 æ u [ n ] where α represents a positive real number, u [ n ] represents the unit-step function, and å n/ 3 æ represents the largest integer that is n/ 3. The signal x [ n ] is plotted below. Enter a closed-form expression for X ( z ) in the box below. X
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final - 6.003(Spring 2010 Final Examination Name Kerberos...

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