When we apply fourier transform over a signal will i get same power or energy signal as i get in time domain?

Kindly, elaborate the ans if yes then how and no then how?

Answer 1

[Matt J]

If you normalize appropriately, then yes. E.g.,

    >> x=rand(1,5);
    >> norm(x)

    ans =

        1.6536

    >> norm(fft(x)/sqrt(numel(x)))

    ans =

        1.6536