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I've doing a bit of self study on the Fourier Transform and I keep coming across "basis function", I have attempted to understand the theory behind it, but I'm finding a lot of explanations go into more maths concepts that I'm not fully understanding.

I'm wondering if someone can in simple english give me an explanation of "Basis Function" that I can understand?

Any help is appreciated

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    Do you know linear algebra? A basis function is a function in the basis. The basis element is a function because we are in a function space, $L^2$ or whatever.2011-03-14

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