Find the Z transform of the sequence sen\frac{\pi k}{4}

Jamarion Kerr

Jamarion Kerr

Answered question

2022-01-24

Find the Z transform of the sequence
senπk4

Answer & Explanation

marzembreax

marzembreax

Beginner2022-01-25Added 13 answers

Let un=senπk4=sinπk4
[sen=sin] in some language
Let un=sinπk4 for my convenience. Therefore Z transform is given by
Z[sinπk4]=Zsinπ4Z22Zcosπ4+1
=Z×122(Z22Z+1)
=Z2(Z22Z+1)
Z[sinπk4]=Z2(Z22Z+1) is the Z transfered of the sequence [sinπk4]
Z[senπk4]=Z2(Z22Z+1) is the required Z transform of the sequence [senπk4]

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