1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms

1.Derivation of the CT Fourier Transform pair2.Examples of Fourier Transforms3.Fourier Transforms of Periodic Signals4.Properties of the CT Fourier TransformFourier’s Derivation of the CT Fourier Transform•x(t) -an aperiodic signal-view it as the limit of a periodic signal as T→ ∞•For a periodic signal, the harmonic components are spaced ω0= 2π/T apart ...•As T→ ∞, ω0→0, and harmonic components are spaced closer and closer in frequency ⇓Fourier series ______Fourier integral

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