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How does the graph of Fourier Series differ to the graph of Fourier Transform?
Wiki User
∙ 10y ago
You can graph both with Energy on the y-axis and frequency on the x. Such a frequency domain graph of a fourier series will be discrete with a finite number of values corresponding to the coefficients a0, a1, a2, ...., b1, b2,...
Also, the fourier series will have a limited domain corresponding to the longest period of your original function.
A fourier transforms turns a sum into an integral and as such is a continuous function (with uncountably many values) over the entire domain (-inf,inf). Because the frequency domain is unrestricted, fourier transforms can be used to model nonperiodic functions as well while fourier series only work on periodic ones.
Series: discrete, limited domain
Transform: continuous, infinite domain.
Wiki User
∙ 10y ago
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