FOURIER SERIES

LIST OF PAGE CONTENT

Representation of Fourier Series

Existence of Fourier Series

Evaluation of fourier Coefficients

Trigonometric Form of Fourier Series

Cosine Representation (Alternate Form of the Trigonometric Representation)

Wave Symmetry

      Even or Mirror Symmetry
      Odd or Rotation Symmetry
      Half Wave Symmetry
      Quarter Wave Symmetry

Exponential Fourier Series

Determination of the Coefficients of Exponential Fourier Series

Cosine Fourier Series from EFS

Fourier Spectrum

Properties of Continuous-Time Fourier Series

      Linearity Property
      Time Shifting Property
      Time Reversal Property
      Time Scaling Property
      Time Differentiation Property
      Time Integration Property
      Convolution Theorem or Property
      Modulation or Multiplication Property
      Conjugation and Conjugate Symmetry Property
      Parseval’s Relation or Theorem or Property

Representation of Fourier Series

Existence of Fourier Series

Trigonometric Form of Fourier Series

Evaluation of fourier Coefficients

Cosine Representation (Alternate Form of the Trigonometric Representation)

Wave Symmetry

Even or Mirror Symmetry

Odd or Rotation Symmetry

Half Wave Symmetry

Quarter Wave Symmetry

Exponential Fourier Series

Determination of the Coefficients of Exponential Fourier Series

Trigonometric Fourier Series from Exponential Fourier Series

Cosine Fourier Series from Exponential Fourier Series

Fourier Spectrum

Properties of Continuous-Time Fourier Series

Linearity Property

Time Shifting Property

Time Reversal Property

Time Scaling Property

Time Differentiation Property

Time Integration Property

Convolution Theorem or Property

Modulation or Multiplication Property

Conjugation and Conjugate Symmetry Property

Parseval’s Relation or Theorem or Property