Example #1: a- an arbitrary real or complex number Ix(t)I Ix(t)I Unstable no Fourier Transform Refa>0 Rea]o but Laplace Transform exists X1(s) S eute (8+a) 0 tat (8+a) +a s+a This converges only if Re(sta)>0, 1.e. Re(s)>-Re(a) X1(s) 9e{s}>-9e{a +a ROCExample #1: This converges only if Re(s+a) > 0, i.e. Re(s) > -Re(a) Unstable: • no Fourier Transform • but Laplace Transform exists