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Typical signals and their representation ☆ Exponential f(t) ea is complex a=0+jo f(t)=Ae at=Aero+jo) = Aegt cos at +jAe sin t 0=0. sinusoidal 0>0, growing sinusoidal 0<0, decaying sinusoidal (damped)Typical signals and their representation ❖Exponential f(t) = eαt •α is complex α = σ + jω f(t) = Ae αt = Ae(σ + jω)t = Aeσ t cos ωt + j Aeσ t sin ωt σ = 0, sinusoidal σ > 0 , growing sinusoidal σ < 0 , decaying sinusoidal (damped)
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