(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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| − | + | [[Category:2010_Fall_ECE_438_Boutin]] | |
| + | [[Category:z-transform]] | ||
| + | [[Category:bonus point project]] | ||
| + | [[Category:ECE]] | ||
| + | [[Category:ECE438]] | ||
| + | |||
| + | ==Properties of the [[Info_z-transform|Z transform]] == | ||
| + | ---- | ||
1. Linearity | 1. Linearity | ||
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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) | ||
| − | + | ---- | |
| + | [[Z_transform_ECE438F10|Back to z-transform tutorial]] | ||
Latest revision as of 13:46, 30 April 2015
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)
