In order to fully appreciate the Discrete Fourier Transform (DFT), a mainstay of geophysical data processing, which will be developed in the , we review here the Fourier series of continuous functions which represents analog signals as sums of sinusoids. In addition, the chapter provides a concise development of complex numbers, complex sinusoids, and complex number multiplication, all of which are essential to understanding the basic elements of the DFT, such as the distinction between positive and negative frequencies.
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