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Signals and systems: video 5a Fourier frequency analysis
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Fourier series
The following video might also be of interest:
Content:
Standard R^3 basis and Fourier basis: 00:00
Fourier basis: 11:20
Fourier series representation: 16:52
Convergence of Fourier series: 19:48
Fourier series example: 24:03
Gibbs phenomenon: 36:57
Fourier series representation: 37:57
Fourier series representation: example: 39:13
Fourier series representation: general case: 41:46
Fourier series representation: real-valued functions: 45:59
Decomposition of real-valued functions: 51:00
Example: 53:13
DC component and harmonics: 58:32
Example: 01:00:13
Reflection: 01:01:08
Even real-valued functions: 01:03:09
Odd real-valued functions: 01:06:33
Fourier coefficients from Laplace transform: 01:09:25
Example: 01:13:55
Non sinusoidal periodic signals: 01:16:54
Trigonometric Fourier series: 01:20:39
The following video might also be of interest:
Content:
Standard R^3 basis and Fourier basis: 00:00
Fourier basis: 11:20
Fourier series representation: 16:52
Convergence of Fourier series: 19:48
Fourier series example: 24:03
Gibbs phenomenon: 36:57
Fourier series representation: 37:57
Fourier series representation: example: 39:13
Fourier series representation: general case: 41:46
Fourier series representation: real-valued functions: 45:59
Decomposition of real-valued functions: 51:00
Example: 53:13
DC component and harmonics: 58:32
Example: 01:00:13
Reflection: 01:01:08
Even real-valued functions: 01:03:09
Odd real-valued functions: 01:06:33
Fourier coefficients from Laplace transform: 01:09:25
Example: 01:13:55
Non sinusoidal periodic signals: 01:16:54
Trigonometric Fourier series: 01:20:39
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