Z-Transform

★★★★☆Undergraduate

📖Definition

Technique to transform discrete signals to the complex plane

📐Formulas

Zx[n] = X(z) = Σx[n]z^-n
Inverse: x[n] = (1/2πi)∮X(z)z^n-1dz

✏️Examples

예제 1

Z{δ[n]} = 1

예제 2

Z{u[n]} = z/(z-1)

Applications

Digital filter design

Discrete control systems

#engineering#discrete#transform