Fast Fourier Transform Lecturer :
نویسنده
چکیده
In this section we discuss the theory of Fourier Series for functions of a real variable. In the next sections we will study an analogue which is the “discrete” Fourier Transform. Early in the Nineteenth century, Fourier studied sound and oscillatory motion and conceived of the idea of representing periodic functions by their coefficients in an expansion as a sum of sines and cosines rather than their values. He noticed, for example, that you can represent the shape of a vibrating string of length L, fixed at its ends, as ∞ y(x) = ∑ ak sin(πkx/L). k=1
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