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Properties of the Z transform


1. Linearity

Z(a'x[n] + by[n]) = aX(z) + bY(z)

2. Time Delay

Z(x[n-k]) = Z-kX(z)
3. Time Advance

Z(x[n+k]) = ZkX(z)
4. Time Convolution Theorem

Z(x[n] * y[n]) = X(z)Y(z)


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