SEÑALES. z-transformada

Question 1

x(n)=δ(n)

Answer 1

X(z) = 1
ROC :∈z

Question 2

x(n) = δ(n − k)

Answer 2

X(z) = z^-k
ROC : ∈ z ∉ z = 0

Question 3

x(n) = u(n)

Answer 3

X(z) = 1 / 1−z^-1
ROC : | z |> 1

Question 4

x(n)=an ⋅u(n) / x(n) = an

Answer 4

X(z) = 1 / 1 − a ⋅ z^-1
ROC:|z|>a

Question 5

x(n)=(1/2)^2 ⋅u(n) / x(n)=(1/2)^2

Answer 5

X(z) = 1 / (1 − 1/2⋅ z^-1)
ROC : | z |> 1/2

Question 6

x(n) = n•a^n•u(n)

Answer 6

x(z) = az^-1 / (1-az^-1)^2
ROC: |z| > |a|