Abstract
The Fourier transform is an integral of the product of a signal (waveform) to be analyzed and a complex exponential function with an arbitrary frequency (see Eq. (2.37)). In theoretical discussions, it is possible to deal with continuous functions. However, since a continuous function requires an infinite number of points to describe, it is not suitable for a numerical analysis using a digital computer.
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Kido, K. (2015). Discrete Fourier Transform. In: Digital Fourier Analysis: Fundamentals. Undergraduate Lecture Notes in Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9260-3_4
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DOI: https://doi.org/10.1007/978-1-4614-9260-3_4
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