Dirac Impulse Trains via Inverse Laplace / Exponential Fourier Series

Sum of two Dirac delta trains with periods T₁ = 1.00s (blue) and T₂ = 0.75s (green). The exponential residue expansion reconstructed via Laplace inverse transforms converges to sharp spikes as you increase the harmonic count N. Notice double-amplitude coincidences at multiples of t = 3.0s.