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)
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)