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Neil E. Cotter
Associate Professor (Lecturer)
Fourier Series
Definition | (pdf)
Orthogonality of sinusoids | (pdf)
Completeness
Coefficients (pdf)
Inner products
Determining scaling factors
Trigonometric series
Formulas
Exponential series
Formulas
Example series
Example 1 (pdf)
Example 2 (pdf)
Example 3 (pdf)
Square wave (pdf)
Triangle wave (pdf)
†Gaussian wave
Applications
Speech recognition (pdf)
Fft Matlab® plot code: FourierSerAppSpeechRec.m
Symmetry
Even/Odd functions
Shift-flip (or half-wave) symmetry
Quarter-wave symmetry
Example 1 | (pdf)
Example 2 | (pdf)
Example 3 | (pdf)
Example 4 (pdf)
Circuit response
Example (pdf)
Example 2 | (pdf)
Example 3 | (pdf)
Example 4 | (pdf)
N-dimensional series
Definition (pdf)
Example 1 (pdf)
FourierSerNDimEx1plot.m
FourierSerNDimEx1mesh.m
Appearance of 2-D sinusoids
Coefficients
Inner products (pdf)
Orthogonality (pdf)
†Products of series
Examples
Square wave in 1-1 direction (pdf)
†Egg carton
†Checkerboard
Power
Example | (pdf)