12-05-10: Almarg
I haven't taken the time to read through most of this thread, but I'll just say with respect to the quoted comments that neither is correct.
A 3db reduction in power corresponds to a 3db reduction in voltage, for a given impedance. A 6db reduction in power corresponds to a 6db reduction in voltage, for a given impedance.
the reason why impedance is not considered is because you are generally looking at power at a given point. for example, when you measure output power, you are always measuring power at the output terminals, so there is no difference in impedance. in this case, what we are describing is the effect of the wadia digital volume control on either the voltage output level or on power output level. so if you do a decibel measurement on voltage, the voltage level is halved at each 3dB increment; if you do a decibel measurement on the power level, that too is halved at each 3dB measurement, but if you look at power as a function of voltage and perform the power measurement AS A RATIO OF THE CORRESPONDING VOLTAGE LEVELS, then each halving of voltage level corresponds to a 6dB redunction in power level (you need to pay particular attention to the capitalized section).
at this point i have to say that i think that i have explained this as best i can. so if someone still isn't following this, then i can't help them and they will have to refer to other sources for further discussion.