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

Sequencez Transform
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