Z Transform Delay

Ele 541 Electronic Testing

Delay

Example

Show the z-transform of a delayed sequence is


Plugging x(n-m) into the definition of the z-transform.


Changing variables, letting

Then

Since x(k) = 0 for k<0, the lower limit on the sum can be set to zero.

Therefore,

for

More information on
[Sequences and filters] [Common Sequences ] [Delay] [Sinusoidal Response]