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1. what is the calculation of the Fourier transform of a signal in both cases: periodic...

1. what is the calculation of the Fourier transform of a signal in both cases: periodic and aperiodic.
2. Find the formula of the Fourier transform of a rectangular signal of amplitude A and of period T.
3. How do elongations of the harmonics of the square wave evolve according to their index?

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Answer #1

Here's the answer for question 1.

The main drawback of Fourier series is, it is only applicable to periodic signals. There are some naturally produced signals such as non-periodic or aperiodic, which we cannot represent using Fourier series. To overcome this , Fourier developed a mathematical model to transform signals between time domain to frequency domain & vice versa, which is called 'Fourier transform'.

Fourier transform has many applications in physics and engineering such as analysis of LTI systems, RADAR, astronomy, signal processing etc.

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