Q: When would one use the Fourier Transform?

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we use fourier transform to convert our signal form time domain to frequency domain. This tells us how much a certain frequency is involve in our signal. It also gives us many information that we cannot get from time domain. And we can easily compare signals in frequency domain.

when we have need to know the temperature in a bar about any distance we can use fourier series to know that and then we can apply sufficient temperature.

The Fourier series is a specific type of infinite mathematical series involving trigonometric functions that are used in applied mathematics. It makes use of the relationships of the sine and cosine functions.

for fun

yes it can, if you know how to use or have mathematica have a look at this demo http://demonstrations.wolfram.com/ApproximationOfDiscontinuousFunctionsByFourierSeries/

Related questions

The Discrete Fourier Transform is used with digitized signals. This would be used if one was an engineer as they would use this to calculate measurements required.

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

A: Any electronics reference book will contain Fourier model transformation. It is just a matter to look them up and which to use for what.

The use of the Laplace transform in industry:The Laplace transform is one of the most important equations in digital signal processing and electronics. The other major technique used is Fourier Analysis. Further electronic designs will most likely require improved methods of these techniques.

we use fourier transform to convert our signal form time domain to frequency domain. This tells us how much a certain frequency is involve in our signal. It also gives us many information that we cannot get from time domain. And we can easily compare signals in frequency domain.

Laplace = analogue signal Fourier = digital signal Notes on comparisons between Fourier and Laplace transforms: The Laplace transform of a function is just like the Fourier transform of the same function, except for two things. The term in the exponential of a Laplace transform is a complex number instead of just an imaginary number and the lower limit of integration doesn't need to start at -∞. The exponential factor has the effect of forcing the signals to converge. That is why the Laplace transform can be applied to a broader class of signals than the Fourier transform, including exponentially growing signals. In a Fourier transform, both the signal in time domain and its spectrum in frequency domain are a one-dimensional, complex function. However, the Laplace transform of the 1D signal is a complex function defined over a two-dimensional complex plane, called the s-plane, spanned by two variables, one for the horizontal real axis and one for the vertical imaginary axis. If this 2D function is evaluated along the imaginary axis, the Laplace transform simply becomes the Fourier transform.

David W. Grooms has written: 'The use of computers in solving mathematical problems' 'Magnetohydrodynamic generators in power generation' 'Applications of the fast fourier transform' -- subject(s): Abstracts, Bibliography, Fourier transformations, Signal processing 'Management games'

The "sloven's f" is a mathematical symbol used to represent the Fourier transform of a function in signal processing and mathematics. It helps to analyze the frequency components of a given signal or function.

Valentin Boriakoff has written: 'Feasibility study, software design, layout and simulation of a two-dimensional fast Fourier transform machine for use in optical array interferometry'

A commonly used instrument to measure sulfur dioxide emission from a volcano is a UV spectrometer. This instrument can detect and quantify sulfur dioxide by measuring the absorption of ultraviolet light at specific wavelengths. Other methods, such as Fourier-transform infrared spectroscopy, can also be used for this purpose.

when we have need to know the temperature in a bar about any distance we can use fourier series to know that and then we can apply sufficient temperature.

to incorporate initial conditions when solving difference equations using the z-transform approach