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

Transcript
Page 1: 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

Ch4 Fourier TransformTopics:

Page 2: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 3: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 4: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 5: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 6: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 7: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 8: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 9: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 10: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 11: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 12: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 13: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 14: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 15: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 16: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 17: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 18: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 19: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 20: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 21: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms

review:

Page 22: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 23: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 24: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 25: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 26: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 27: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 28: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms
Page 29: 1.Derivation of the CT Fourier Transform pair 2.Examples of Fourier Transforms