‫Now, the complex numbers are important in the context of the SDR, because the complex numbers are
‫used to represent the symbols are, in other words, they are tools to represent these constellation
‫points.
‫For example, if we consider this symbol, are we consider this constellation point.
‫It has this a component and it has this dual component.
‫And in order to represent this constellation point are to represent this symbol as the complex number,
‫we would write it as a plus Kuji.
‫So I is the real part and Q is the imaginary part.
‫Now, if we have these four Constellation points and we want to represent them mathematically using
‫the complex numbers in the first symbol, who is the real part of it is the I and the Q is one.
‫So we would write it as s not is equal to two plus G.
‫And in the case of S1, we can see minus two is the eye.
‫And one is D.
‫Q So we would write this.
‫It as as S1 is equal to minus two plus G and similarly s three can be written as minus two, minus G.
‫And in the case of S4, who is the I and minus one is the Q so we write it as two minus.
‫So this is how the symbols are represented using the complex numbers.
‫And that is why in this representation these symbols are called as de.
‫Complex.
‫Symbol's.