Fundamentals
Periodic Functions
Fundamental Frequency
Harmonics
Orthogonality
Trigonometric Fourier Series
Symmetry Properties (Parity)
Half-range Expansions
Complex Fourier Series
Complex Coefficients
Relation to Trigonometric Coefficients
Magnitude
Properties
Linearity
Time Shifting
Time Scaling
Differentiation Property
Convolution (Periodic and Discrete)
Parseval’s Equality
Power of Harmonics
RMS Value
Distance Between Functions
Convergence (Dirichlet Conditions)
Gibbs Phenomenon
FFT Algorithm
Handwritten