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§2.3 Basic Sequences Exponential sequence x[n]=A”,-o0<n<o where 4 and a are real or complex numbers Ifwe write a=e(Got1oo),A=e, then we can express xn]=dee(o+jo)n xreln]+jxmIn], where xre[n]=Aeo”cos(oon+φ), xm[nl]=Aeo”sin(oon+φ))§2.3 Basic Sequences • Exponential sequence - [ ] , n x n = Aα − ∞ < n < ∞ , ( ) o o j e σ + ω α = , φ = j A A e [ ] [ ] [ ], ( ) x n A e e xre n j xim n j o j o n = = + φ σ + ω [ ] = cos(ω + φ), σ x n Ae on n re o [ ] = sin(ω + φ) σ x n Ae on n im o where then we can express If we write where A and α are real or complex numbers
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