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>Fourier Transforms
Fourier Transforms are used to decompose signals into a set of sinusoids of different frequencies. There are two types of Fourier Transforms: Discrete Fourier Transform (DFT) and Continuous Fourier Transform (CFT). The DFT is used to analyze digital signals. It uses a discrete set of samples of the signal that have been taken at regular intervals. The CFT is used to analyze continuous signals. It takes the signal and splits it into its component frequencies. Both types of Fourier Transforms allow the signal to be reversed, allowing for the signal to be reconstructed from its frequency components. Fourier Transforms are used in many different fields such as signal processing, communication systems, radar systems, speech recognition, etc.
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