What is the difference between fourier series and fourier transform

The use of generalized functions, however, frees us of that restriction and makes it possible to look at the Fourier transform of a periodic function. It can be shown that the Fourier series coefficients of a periodic function are sampled values of the Fourier transform of one period of the function. Fourier transform and Fourier series are two manifestations of a similar idea, namely, to write general functions as "superpositions" whether integrals or sums of some special class of functions.

This makes exponentials very convenient for solving differential equations, for example. Registration is free. Click here to register now. Register Log in. JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding. You are using an out of date browser. It may not display this or other websites correctly. You should upgrade or use an alternative browser.

Thread starter bals Start date Aug 8, Status Not open for further replies. But, i feel, you cant get this concept readily. So i advise you to study some basics in books and from net and come back with doubts which you dont Understand well.

The weights, or coefficients, of the modes, are a one-to-one mapping of the original function. Generalizations include generalized Fourier series and other expansions over orthonormal bases. In mathematical physics, the Fourier transform of a signal x t can be thought of as that signal in the "frequency domain. Dmitrij Advanced Member level 4.

It represents the signal by the discrete-time sequence of basis functions with finite and concrete amplitude and phase shift. Register Log in. Forums Science Mathematics and Physics. JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding. You are using an out of date browser. It may not display this or other websites correctly. You should upgrade or use an alternative browser. What's the difference between Fourier transform and Fourier series?

Thread starter Nimer Start date Jan 17, Status Not open for further replies. Nimer Full Member level 3. Re: help fourier tansform is for non periodic signals and fourier series is for periodic ones. Re: help whts the best book on the subject. Sathish Member level 4. Re: help hi all, Fourier series is used to represent a signal in terms of sine and cos,i.