Question

z-transform of x(n)=u(-n) is​

Answer 1

Answer:

Let us take x1(n) = anu(n)

The z-transform of x1(n) = anu(n) is given by

image

The given function is

x(n) = nanu(n) = nx1(n) because x1(n) = anu(n).

∴ X[z] = Z[nx1(n)]

By differentiation property of z-transform, we can write

image

Therefore, the z-transform of x(n) = n anu(n) is image having ROC: | z | > | a |.