Laplace Transform — Signal Designer (Clean)
Pick a time-domain signal, hit
Compute
. Left: original f(t). Right: Laplace diagram (Real & Magnitude).
Function
Unit step u(t)
Exponential e^{a t}
t^n (polynomial)
sin(ω t)
cos(ω t)
Rect pulse (0 ≤ t ≤ T)
Custom (JS expression of t)
Parameter: a (for e^{a t})
Parameter: n (for t^n)
Parameter: ω (for sin/cos)
Rect pulse duration T
Custom expression (JS). Use
t
. Example:
Math.exp(-0.5*t)*Math.sin(2*t)
Time / integration: T_max and dt
S range (real axis) and samples
Compute & Plot Time Function and Laplace
Analytic Laplace (when known):
-
Notes: numerical integral approximates ∫_0^{T_max} f(t) e^{-s t} dt. Increase T_max & reduce dt for better accuracy.
Save Laplace PNG
Generate PDF Report
Ready
Plots
Left = f(t), Right = L(s)
Inspect s value
Evaluate at s
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Save / Export