Z Transform Properties Equations - Signal Processing - EquPlus.net

DESCRIPTION EQUATION

Z transform definition Z transform definition

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.

Z-transform initial value theorem Z-transform initial value theorem

Z-transform linearity property Z-transform linearity property

Z-transform multiplication by a ramp (z domain differentiation) property Z-transform multiplication by a ramp (z domain differentiation) property

Z-transform multiplication by an exponential (z domain scaling) property Z-transform multiplication by an exponential (z domain scaling) property

Z-transform time domain convolution (z domain multiplication) property Z-transform time domain convolution (z domain multiplication) property

Z-transform time domain multiplication (z domain convolution) property Z-transform time domain multiplication (z domain convolution) property

Z-transform translation (time shift) property Z-transform translation (time shift) property