What is the Probability of Error in an Adaptive Modulation System?

[JeeebeZ]

Homework Statement

2. Homework Equations

The Attempt at a Solution

I can't figure out how to get those numbers, I think I have to convert from dB when actually calculating it but I'm unable to get those ones.

I have
P_QPSK = 0.502368
P_16QAM = 0.0526855
P_64QAM = 0.000004
P_no = 0.4450

 

[JeeebeZ]

I figured it out,

Those are not in dB, even though I thought they were. So I was converting everything from dB or nothing from dB

so the integral ends up being -exp(gamma/gamma_bar) evaluated from a to b.

-exp(-52.98/ ( 10^(18/10) )) + exp(-10.6/ ( 10^(18/10) )) = 0.413505

-exp(-222.53/ ( 10^(18/10) )) + exp(-52.98/ ( 10^(18/10) )) = 0.402453

+ exp(-222.53/ ( 10^(18/10) )) = 0.0293970