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Hi, could someone give me an explanation of Fourier Series' please or a link that would give someone who has no idea about them a working grasp of what they are.
lol thanks but I've already read that and couldn't make much sense of it.devious_ said:
A Fourier series is a mathematical representation of a periodic function using a combination of sine and cosine functions. It helps in breaking down a complex periodic function into simpler components, making it easier to analyze and understand.
A Fourier series works by using the principle of superposition, where a complex function can be represented as a sum of simpler functions. It utilizes the Fourier transform to convert a function from the time or spatial domain to the frequency domain.
Fourier series has various applications in different fields such as signal processing, image processing, data compression, and solving partial differential equations. It is also used in analyzing periodic phenomena in physics and engineering.
No, not every function can be represented by a Fourier series. The function must satisfy certain conditions such as being periodic, continuous, and having a finite number of discontinuities in order for it to have a Fourier series representation.
Fourier series and Fourier transform are two related concepts, but they differ in the type of input they take. Fourier series is used for representing periodic functions, while Fourier transform is used for non-periodic functions. Additionally, Fourier transform gives a continuous spectrum of frequencies, whereas Fourier series only gives a discrete set of frequencies.