## Some common pairs – z – transform formulas

Some common pairs $$x(t)$$ $$X(Z)$$ $$\delta$$ $$1$$ $$u(n)$$ $$\frac {Z}{Z-1}$$ $$u(-n-1)$$ $$-\frac {Z}{Z-1}$$ \(…

## Properties of z- transform

Properties of z- transform: Linearity: $$ax(n)+by(n) \longleftrightarrow aX(Z)+bY(Z)$$ Time Shifting: $$x(n−m) \longleftrightarrow z^{−m}X(Z)$$ Scaling in Z domain: $$a^n\cdot x(n) \longleftrightarrow X \left(\frac Za\right)$$ Time…