Please I need a help for why the number 2 in this equaion Fo

Please I need a help for why the number 2 in this equaion

Fourier Analysis Fs E 1000 Sampling frequency 1/Fs sampling period. plot (t,x) N 1000 Length of signal n 0: N-1 Input variable Time vector n T 0.5 sin (22 wpi 100 t) cos (2 pi 300 t) C fft (x) spectrum of Nx (t) s J abs (2 C/N) normalize amplitude WHY? Fawn/N plot (f, s) title (\'Amplitude Spectrum of x (t) label f (Hz) label IX (f) I\')

Solution

HI.

Actually, if you run the above matlab program by removing the 2 in the function S = abs(2*C/N), then you will highest mignitude of X(t) is = 0.5.

But, the researcher want to make that 0.5 magnitude to unity forthat he multiflied above function with 2. ok no reason is there beyond it.

thankyou