Modulation of signal using sqrt (2)

What is the purpose of using sqrt(2) while doing modulation in OFDM?

Fs = 44100;

ts = 2.2676e-5;

Fc = 2400;

t = 0:1/Fs:(length(Up_sampling)-1)*ts;

Real part = real(Upsampling).*cos(2*pi*Fc*t) * sqrt(2);

Imag_part = imag(Up_sampling).*-sin(2*pi*Fc*t) * sqrt(2);

Answer 1

[Shivam Singh]

Hello Darshan,

The factor of srqt(2) is included just for convenience as a normalization factor. It helps in power calculation as the power of the signal A*sin(x) is (A^2)/2 and the factor sqrt(2) normalizes the 1/2 in it.