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Fourier transform comes from the study of
Fourier series.In the study of
Fourier series, complicated but periodic functions are written as the sum of simple waves mathematically represented by sines and cosines.The
Fourier transform is an extension of the
Fourier series that results when the period of the represented function is lengthened and allowed to approach infinity.
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Fourier series is an expansion of a periodic function in terms of an infinite sum of sines and cosines.
Fourier series make use of the orthogonality relationships of the sine and cosine functions. The computation and study of
Fourier series is known as harmonic analysis and is extremely useful as ...
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Convergence of Fourier Series. Over the last few sections we’ve spent a fair amount of time to computing
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