Let me confirm how the demodulation process of QAM is.
Then we have to guess \$I(t)\$ and \$Q(t)\$ in order to know what the said bit formation of the demodulated signal is. And we have already known what \$s(t)\$ is. And we can use the below formula
In case of QPSK, we can say
$$I^2(t) + Q^2(t) = constant$$
But when we look at QAM, in case of 16 QAM, there are 2 circles whose center is (0,0) and in case of 64 QAM, there are 4 ones, and in case of 256 QAM, there are 8 circles. So we cannot say what is the fixed amplitude.
In such a case how should we work out solution of \$I(t)\$ and \$Q(t)\$ accurately using what kind of expressions or formulas if we do the solution by the pure software? Could you please teach what the needed equations are?