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Q: What are Fourier series and Fourier transform?
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Related questions

What are Joseph Fourier's works?

Fourier series and the Fourier transform


What are the limitation of fourier series?

what are the limitations of forier series over fourier transform


How do you find the inverse Fourier transform from Fourier series coefficients?

no


What is the difference between fourier series and discrete fourier transform?

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.


What is the difference between fourier series and fourier transform with real life example please?

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.


What is relation between laplace transform and fourier transform?

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.


Why was Joseph Fourier famous?

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.


Why you use fast fourier transform?

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


Application of 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 .


What is the difference between discrete fourier transform and fast fourier transform?

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


What is the difference between the fourier laplace transform?

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.


How can a composite signal be decomposed?

Spectral analysis of a repetitive waveform into a harmonic series can be done by Fourier analyis. This idea is generalised in the Fourier transform which converts any function of time expressed as a into a transform function of frequency. The time function is generally real while the transform function, also known as a the spectrum, is generally complex. A function and its Fourier transform are known as a Fourier transform pair, and the original function is the inverse transform of the spectrum.