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cgw
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Looking for Fourier series tutorials or even better video lectures on the subject.
matticus said:these video lectures are pretty good, this is the first one but there's tons.
http://youtube.com/watch?v=WScEpfGYQhY
naele said:In that vein, can anybody put together a few links to help learn/understand the math behind the Fourier series? Just from eyeballing I'd guess a solid understanding of integration of trigonometric functions, but I'm sure there's more to it.
sceadu said:I came across these a little while ago:
http://www.youtube.com/watch?v=gZNm7L96pfY&fmt=18"
(I know that Fourier series and the transform itself aren't the same thing, but I thought you might still like the videos)
sceadu said:(I know that Fourier series and the transform itself aren't the same thing, but I thought you might still like the videos)
matticus said:these video lectures are pretty good, this is the first one but there's tons.
http://youtube.com/watch?v=WScEpfGYQhY
A Fourier Series is a mathematical tool used to represent a periodic function as a sum of sinusoidal functions. It is named after French mathematician Joseph Fourier and is widely used in fields such as signal processing, image processing, and physics.
Fourier Series are important because they allow us to break down complex functions into simpler components, making it easier to analyze and understand. They also have many practical applications in various fields such as engineering, physics, and mathematics.
The coefficients of a Fourier Series can be calculated using the Fourier Series formula, which involves integrating the function over one period and multiplying it by the appropriate trigonometric functions. Alternatively, there are also specific formulas for calculating the coefficients of common types of functions such as square waves and sawtooth waves.
A Fourier Series represents a periodic function as a sum of sinusoidal functions, while a Fourier Transform represents a non-periodic function as a continuous spectrum of sinusoidal functions. In other words, a Fourier Series is used for periodic functions, while a Fourier Transform is used for aperiodic functions.
Yes, there are some limitations of Fourier Series. It can only be applied to functions that are periodic, and it may not converge for certain types of discontinuous functions. Additionally, it may not be suitable for analyzing functions with sharp spikes or corners.