**Fourier Transforms: Check out the Necessary Information and Factors**

There is almost no one who have never even frightened off mathematics. Loads of topics need to be read between the lines. Besides, simultaneously there are tons of formulas which are used in the calculations which are the most deliberate part of mathematics. Well, thetransform is known to be one of the major and vital things in the field of mathematics and it possesses a great many variants also. Among so many transforms a significant name is of Fourier Transform.

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**Fourier Transforms: explanation:**

Fourier Transform is the requirement of electrical engineering as it is related to the signal processing. Well, this is nothing but the generalized form of the complex Fourier series in the Limit. It can degrade a function of time into differentfrequencies.

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**Basic properties of Fourier Transforms:**

Being a student of mathematics or electrical engineering, you must know the salient features of Fourier Transforms and that may help you to take a grip over the subject. However, these properties can be listed out in accordance with the following manner:

- Linearity
- Modulation/ Frequency shifting
- Time Scaling
- Translation/ Time-Shifting
- Integration

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**Phrases and terms to know:**

There are certain important topics about whichyou must know comprehensively while studying Fourier Transforms. These things can be named as follows:

- Units and Duality
- Invertibility and periodicity
- Uniform continuity and the Riemann–Lebesgue lemma
- Poisson summation formula
- Cross-correlation theorem
- Convolution theorem
- Plancherel theorem and Parseval’s theorem
- Differentiation
- Eigen functions
- Complex domain
- Inversion

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