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Q: What is the Fourier Transform?

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Fourier series and the Fourier transform

The fast fourier transform, which was invented by Tukey, significantly improves the speed of computation of discrete fourier transform.

the main application of fourier transform is the changing a function from frequency domain to time domain, laplaxe transform is the general form of fourier transform .

discrete fourier transformer uses digital signals whereas the fast fourier transform uses both analog and digital.

The Laplace transform is related to the Fourier transform, but whereas the Fourier transform expresses a function or signal as a series of modes ofvibration (frequencies), the Laplace transform resolves a function into its moments. Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.

They are similar. In many problems, both methods can be used. You can view Fourier transform is the Laplace transform on the circle, that is |z|=1. When you do Fourier transform, you don't need to worry about the convergence region. However, you need to find the convergence region for each Laplace transform. The discrete version of Fourier transform is discrete Fourier transform, and the discrete version of Laplace transform is Z-transform.

i want c code for fourier transform?

no

wavelet transform is located in space whereas fourier cosine and sine functions are not.:)

Fourier transform and Laplace transform are similar. Laplace transforms map a function to a new function on the complex plane, while Fourier maps a function to a new function on the real line. You can view Fourier as the Laplace transform on the circle, that is |z|=1. z transform is the discrete version of Laplace transform.

A Fourier series is a set of harmonics at frequencies f, 2f, 3f etc. that represents a repetitive function of time that has a period of 1/f. A Fourier transform is a continuous linear function. The spectrum of a signal is the Fourier transform of its waveform. The waveform and spectrum are a Fourier transform pair.

Peter R. Griffiths has written: 'Fourier transform infrared spectrometry' -- subject(s): Fourier transform infrared spectroscopy 'Chemical infrared Fourier transform spectroscopy' -- subject(s): Fourier transform spectroscopy, Infrared spectroscopy

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