quiz 1 - 2. Compute the z-transform of the following...

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ECEN 487 QUIZ 1 NAME:_________KEY_____________________ 1. List at least two methods that might be used to compute the z -transform of some sequence x [ n ]. 1. Table look-up. 2. Direct sample-by-sample (term-by-term) sequence transformation 3. Identifying a closed form expression for the transform sequence. 4. Applying properties of the transform to break it up into forms found in the table.
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Unformatted text preview: 2. Compute the z-transform of the following sequence and plot its poles and zeros in the z plane: x [ n ] = 2 [ n ] + 3 [ n-1] + 1 [ n-2]. X ( z ) = 2 + 3 z " 1 + z " 2 , z > 0 by direct term by term Z transform. = (2 + z " 1 )(1 + z " 1 ), zeros at z = " 1/2, " 1. 1 0.5 0.5 1 1 0.8 0.6 0.4 0.2 0.2 0.4 0.6 0.8 1 2 Real Part Imaginary Part...
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