Find the Z transform of the sequence {k(\frac{1}{2})^{k}}

siutulysr5

siutulysr5

Answered question

2022-01-22

Find the Z transform of the sequence
{k(12)k}

Answer & Explanation

Joy Compton

Joy Compton

Beginner2022-01-23Added 13 answers

We have:
{k(12)k}
Z[k(12)k]=?
Remember that Z[an]=ZZa
Z[anf(n)]=f(Za)
Thus, we have
Z[k(12)k]=[Z[k]], ZZ12
[Z(Z1)2], ZZ12
=2Z(2Z1)2
=Z2(Z12)2

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