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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 .
i want c code for fourier transform?
sinc^2(w)
The question almost certainly intends "fast" instead of "first". The difference between a Fourier Transform and a Fast Fourier Transform is only the amount of effort required to generate the result. Both have the same the result. The original Fourier Transform requires an amount of effort which is proportional to the square of the amount of data being used. So if the amount of data doubles, the amount of effort to calculate the result quadruples. In contrast, the subsequently discovered Fast Fourier Transform requires an amount of effort proportional to the product of the amount of data and the base-two logarithm of the amount of data. Thus, if the amount of data doubles, the amount of effort increases but by less than a quadruple. With each doubling of the data size, the amount of effort increases by a diminishing factor which slowly drops toward but never reaches two.
discrete fourier transformer uses digital signals whereas the fast fourier transform uses both analog and digital.
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A spectrum analyzer or spectral analyzer is a device used to examine the spectral composition of some electrical, acoustic, or optical waveform. It may also measure the power spectrum. There are analog and digital spectrum analyzers: * An analog spectrum analyzer uses either a variable band-pass filter whose mid-frequency is automatically tuned (shifted, swept) through the range of frequencies of which the spectrum is to be measured or a superheterodyne receiver where the local oscillator is swept through a range of frequencies. * A digitalspectrum analyzer computes the discrete Fourier transform (DFT), a mathematical process that transforms a waveform into the components of its frequency spectrum. http://en.wikipedia.org/wiki/Spectrum_analyzer
Fourier series and the Fourier transform
Joseph Fourier was the French mathematician and physicist after whom Fourier Series, Fourier's Law, and the Fourier Transform were named. He is commonly credited with discovering the greenhouse effect.
Nadder A. Hamdy has written: 'Applied signal processing' -- subject(s): Digital Electric filters, Digital techniques, Electric filters, Electric filters, Digital, Equipment and supplies, Fourier transformations, Signal processing
The Fourier transform allows you to convert between time domain and frequency domain and back. Certain manipulations, such as filters, are easier to implement in the frequency domain, particularly when the representation is digital. You can also compress and shift the bandpass of a signal for easier transmission, and then convert it back at the receiving end.
Fourier analysis is used in many places. Three examples are digital filtering, where a signal is converted to frequency domain, certain bands are removed or processed, and then converted back to time domain; your cell phone or its headset, if it has advanced noise cancellation technology; and the telephone system itself, where digital filtering is used to minimize bandwidth demands.
J. G. Kawall has written: 'Digital analysis of turbulent signals' -- subject(s): Turbulence, Fourier transformations
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Joseph Fourier is a French mathematician and physicist. Fourier is generally credited with the discovery of the greenhouse effect.
Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.