How does the accuracy of Scipy FFT compare to that of the analytical FT of a box function?

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Scipy FFT (Fast Fourier Transform) is a numerical method for computing the Fourier transform of a signal or function, while analytical FT of a box function is a mathematical expression that can be calculated using integral calculus.

The accuracy of Scipy FFT depends on various factors such as the number of samples, the spacing between the samples, and the precision of the computer hardware. In general, Scipy FFT can provide accurate results for most practical applications.

On the other hand, the analytical FT of a box function is a well-defined mathematical expression that provides exact results. However, it is only applicable for idealized functions, and its accuracy can be affected by mathematical approximations and assumptions made during the derivation.

In summary, the accuracy of Scipy FFT is generally sufficient for most practical applications, while the analytical FT of a box function provides exact results but is limited to idealized functions.