Typical signals and their representation Exponential f(t)=eat a is complex a=0+jo f(t)=Aeat =Ae(o+jo)t =Aeot cosωt+jAeot sinωt o 0,sinusoidal o >0,growing sinusoidal o<0,decaying sinusoidal (damped)Typical signals and their representation Exponential f(t) = eαt •α is complex α = σ + jω f(t) = Aeαt = Ae(σ + jω)t = Aeσ t cosωt + j Aeσ t sinωt σ = 0, sinusoidal σ > 0 , growing sinusoidal σ < 0 , decaying sinusoidal (damped)