Moleculo said:...However, I see where I misread and lumped in the formulas for calculating modulation percentage with the text on nominal power. Here the source that messed me up: (Scroll down to the definition of modulation percentage, you'll see where I mistook that for part of the paragraph for Nominal Power)
http://ecfr.gpoaccess.gov/cgi/t/text/text-idx?c=ecfr&rgn=div6&view=text&node=47:4.0.1.1.2.1&idno=47
I still wish people would get away from the term "RMS Power", when they really mean "Average Power". RMS is a measurement of voltage, not wattage. I know, the term is meant to say that the RMS method of calculating voltage is used to determine power levels, but it's still confusing to the casual reader.
It seems to me the FCC has been trying to get away from Average power measurements (at least for the Amateur world)? All the Amatuer requirements are stated in terms of PEP now. All my equipment that has built in meters (tuners, amps, etc.) all have active peak reading meters. My Bird has the peak kit...I really only have one meter that doesn't have an active peak reading circuit anymore...
If you look at my other post you will see that the modulation index can be used for calculating PEP and RMS/Average Power to show how they are related. However, PEP can be calculated directly from the modulated envelope if the RMS/Average Power is not desired.
As for the RMS comments, Average Power can only be calculated using RMS Current and/or Voltage so I don't think the RMS terminology will go away. Any calculation of power that does not use RMS values will be wrong.
You need to look at why RMS values were developed to appreciate this metrics value.
Energy is the primary metric that "All" engineering diciplines share and the SI unit is the "joule". Power is defined as the change in energy per a change in time, which means a change in joules per second (J/s). So the units of energy must be consistant between "All" engineering fields.
RMS is defined as an "effective" value of voltage or current that produces the same energy transfer (watts) for time varying signals that a defined DC source will. So, RMS values are the only values that exactly describe wattage or energy transfer in joules. Average Power is calculated over one cycle by multiplying the RMS Voltage x RMS Current x Cos (phase angle between the voltage and current). So, RMS and Average can be thought of as one and the same.
As for peak meters, they are cheap, easy to build, and are fairly accurate so that is why they are popular in the amateur market. Notice that PEP and RMS power are directly related so that is why the FCC may use this terminology, not because RMS power doessn't exist...