If we have the sequence {1,1,…}, how would I go about calculating the Z-transform?

sdentatoiz

sdentatoiz

Answered question

2022-09-11

If we have the sequence { 1 , 1 , }, how would I go about calculating the Z-transform? Such that we find Z { 1 , 1 } ( z )

Answer & Explanation

Harper Brewer

Harper Brewer

Beginner2022-09-12Added 16 answers

Z { 1 , 1 } ( z ) = z z 1 z = 1 1 1 z 1 = n = 0 1 n z n
Z { 1 , 2 , 4 } ( z ) = Z { 2 0 , 2 1 , 2 2 } ( z )
Z { 2 0 , 2 1 , 2 2 } ( z ) = z z 2 z = 1 1 2 z 1 = n = 0 2 n z n
Z { 2 , 2 , 2 } ( z ) = 2 z z 1 z = 2 1 1 z 1 = 2 n = 0 1 n z n
Gavyn Whitehead

Gavyn Whitehead

Beginner2022-09-13Added 2 answers

1 + 1 / z + 1 / z 2 + = 1 / ( 1 1 / z ) = z / ( z 1 )

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Differential Equations

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?