##
Z Transforms of Common Sequences

Ele 541 Electronic Testing
**Unit Pulse**

The z-transform of the sequence x(n) is defined to be

If x(n) = _{}, where

then only the k = 0 term in the sum is non zero.

The z-transform of the unit pulse, _{} = 1.
**Unit Step**

Consider the unit step function where x(k) = _{}

Plugging into the definition of the z-transform

This sum can be written as,

**Exponential Sequence**
Consider the unit step function where x(k) = _{}

Plugging into the definition of the z-transform

This sum can be written as,

**
Z-Transforms of Common Sequences**

More information on

[Sequences and filters]
[Common Sequences ]
[Delay]
[Sinusoidal Response]