←
Convolution
Oppenheim & Willsky, Ch. 2 — LTI Systems
Signal Pair
Rect * Rect (Triangle)
Rect * Exponential
Exponential * Exponential
Impulse * Rect (Identity)
Triangle * Rect
Sliding Parameter
t
0
-2.00
Animation
▶ Play
◀ Step
Step ▶
Convolution
y(t) = ∫ f(τ) g(t-τ) dτ
Steps:
1. Flip g(τ) → g(-τ)
2. Shift by t
0
→ g(t
0
-τ)
3. Multiply f(τ)·g(t
0
-τ)
4. Integrate (shaded area) = y(t
0
)