How are AGC values computed?

I am trying to understand the automatic gain control block provided by the communications toolbox. The documentation is here: automatic gain control

My questions are in regards to two of the configurable parameters, the DesiredOutputPower and MaxPowerGain.

Given a value X for DesiredOutputPower, how does one compute what the reference value A is?

Given a value X for MaxPowerGain, how does one compute what the upper limit for g is?

For example:

If DesiredOutputPower = 2 then A = 0.693147180559945

If DesiredOutputPower = 6 then A = 1.791759469228055

And

If MaxPowerGain = 10 then the upper limit for g is 1.15129255

If MaxPowerGain = 60 then the upper limit for g is 6.90775527

How are these numbers determined? What are the formulas? I havent been able to figure it out, please help.

Thank you!

[Liam Goddard]

I know that this is over 2 years too late, but 0.69314... is ln2, and 1.79175... is ln6 - just take the natural log of whatever to find the A given DesiredOutputPower.

For the other function, 1.15129... is ln(sqrt10), and 6.90775... is ln(1000). Notice that 1000 is equal to sqrt(1000000), which is equal to 10^6. Therefore, the general function for the upper limit of g is ln(sqrt(10^(MPG/10))).

I don't actually know what an AGC is or whether you're still interested in it. Hopefully this can be helpful.