Question

What is Fourier transformation ? Write the mathematical formula of FT process.

Answer 1

The Fourier Transformation:-

a Fourier transform is a mathematical transform that decomposes functions depending on space or time into functions depending on spatial or temporal frequency, such as the expression of a musical chord in terms of the volumes and frequencies of its constituent notes.

the mathematical formula of FT process:--

• The Fourier Transform is a mathematical technique that transforms a function of time, x(t), to a function of frequency, X(ω). ... As before, we write ω=nω0 and X(ω)=Tcn. A little work (and replacing the sum by an integral) yields the synthesis equation of the Fourier Transform.