S-Plane to Time Domain Visualizer

Explore the relationship between s = σ + jω and e^st

Complex S-Plane

s = 0.00 + j 0.00

|s| = 0.00 ∠s = 0.00°

σ (Real Axis) jω (Imaginary Axis)

Time Domain Response

e^st = e^(0.00)t · e^j(0.00)t

= e^(0.00)t · [cos(0.00t) + j·sin(0.00t)]

Magnitude: |e^st| = e^σt

Real & Imaginary Parts

Phase: ∠e^st = ωt

System Behavior: Marginally Stable