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skaboy607
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Can anyone explain the above-i've read about in books, internet sites and still do not understand what its doing or the maths.
Thanks
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A Fourier Transformation is a mathematical operation that decomposes a function or signal into its individual frequency components. This allows for the analysis of complex signals and the visualization of their frequency spectrum.
A Fourier Transformation is performed by taking the summation of an infinite number of sine and cosine waves, each with different amplitudes, frequencies, and phases, that when combined, recreate the original signal.
The DFT is a mathematical algorithm that calculates the Fourier Transformation of a discrete signal. The FFT is a more efficient implementation of the DFT, utilizing advanced algorithms to speed up the calculation process.
Fourier Transformations have a wide range of applications in fields such as signal processing, image processing, data compression, and audio and video analysis. They are also used in the study of differential equations and in quantum mechanics.
Although Fourier Transformations are a powerful tool in signal analysis, they have some limitations. They assume that the signal is periodic, which may not always be the case. Also, the accuracy of the transformation depends on the length of the signal and the sampling rate used.