(New page: '''Properties of Z transform''' 1. Linearity Z(a'x[n] + by[n]) = aX(z) + bY(z) 2. Time Delay <br>3. Time Advance <br>4. Time Convolution Theorem Z(x[n] * y[n]) = X(z)Y(z) <br...) |
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Line 7: | Line 7: | ||
2. Time Delay | 2. Time Delay | ||
− | <br>3. Time Advance | + | Z(x[n-k]) = Z<sup>-k</sup>X(z)<br>3. Time Advance |
− | <br>4. Time Convolution Theorem | + | Z(x[n+k]) = Z<sup>k</sup>X(z)<br>4. Time Convolution Theorem |
Z(x[n] * y[n]) = X(z)Y(z) | Z(x[n] * y[n]) = X(z)Y(z) | ||
<br> | <br> |
Revision as of 18:21, 16 December 2010
Properties of 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)