DESCRIPTION |
EQUATION |
Z transform definition |
![Z transform definition](/png/x0153.png.pagespeed.ic.1q28DuAd0d.png) |
Z-transform final value theorem. Valid only if polues of (z-1)X(z) are inside the unit circle. |
![Z-transform final value theorem. Valid only if polues of (z-1)X(z) are inside the unit circle.](/png/x0111.png.pagespeed.ic._utUt5DsGO.png) |
Z-transform initial value theorem |
![Z-transform initial value theorem](/png/x0110.png.pagespeed.ic.yUbZKDW5zy.png) |
Z-transform linearity property |
![Z-transform linearity property](/png/0104.png) |
Z-transform multiplication by a ramp (z domain differentiation) property |
![Z-transform multiplication by a ramp (z domain differentiation) property](/png/x0107.png.pagespeed.ic.osnQE0tqNN.png) |
Z-transform multiplication by an exponential (z domain scaling) property |
![Z-transform multiplication by an exponential (z domain scaling) property](/png/0106.png) |
Z-transform time domain convolution (z domain multiplication) property |
![Z-transform time domain convolution (z domain multiplication) property](/png/x0103.png.pagespeed.ic.zLTUCnbB-D.png) |
Z-transform time domain multiplication (z domain convolution) property |
![Z-transform time domain multiplication (z domain convolution) property](/png/0109.png) |
Z-transform translation (time shift) property |
![Z-transform translation (time shift) property](/png/x0105.png.pagespeed.ic.XpFkPX8RW7.png) |