Convolution Properties & Steps

Steps to solving the convolution graphically

1. Flip (Folding): Take the mirror image of h(λ) about the ordinate axis to obtain h(−λ).

2. Shift (Displacement): Shift or delay h(−λ) by t to obtain h(t − λ).

3. Multiplication: Find the product of h(t − λ) and x(λ).

4. Integration: For a given time interval on t, calculate the area under the product h(t − λ)x(λ) for 0 < λ < t to get y(t) at t.