A line in a MatLab script normalises the symbols so that the

A line in a MatLab script normalises the symbols so that the average power (amplitude squared) is one. Another line produces the time varying signal from the symbol phasor. Explain why the 2 factor is necessary to produce an average signal power of one. A further line recovers the symbol phasor from the time varying signal. Explain mathematically how this is done; in particular why the 2 factor is necessary. Produce a detailed explanation and show screenshots please.

Solution

Generally phasor is rms value

For sinusoidal maximun=sqrt(2)*rms

So we have factor sqrt(2).