Z-Transform Calculator

Calculate Z-transforms of discrete-time sequences for digital signal processing.

Sequence Parameters

Z-Transform Definition

X(z) = Σ x[n]z^(-n), n = -∞ to ∞

X(z) at z = 2

2.00000000

Transform Pair

Time Domain

x[n] = u[n]

Z-Domain

X(z) = z/(z-1)

Region of Convergence

|z| > 1

Sequence Values

x[0]

1.000

x[1]

1.000

x[2]

1.000

x[3]

1.000

x[4]

1.000

x[5]

1.000

x[6]

1.000

x[7]

1.000