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On AM, half the total power of the tx. is in the sidebands at 100% modulation. Be careful with this.
Clarification: sideband power at 100% sinewave AM is 1/2 of the power of the unmodulated carrier, but only 1/3 of the total power output of the tx then. This is recognized in the rest of your post where you say “….a .1 watt carrier power tx. at no modulation has .1 watt in the carrier. At 100% modulation this tx. has .1 watt in the carrier and .05 watts in the two sidebands resulting in a total power with modulation of .15 watts.” The ratio of 0.05 W power in the sidebands to 0.15 W total output power is 1:3, or 1/3.
With exalted carrier, the sideband power is boosted above the 50% level for AM so the power in the sidebands exceeds the usual 50% at 100% AM modulation. This appears to me to be equivalent to the 125% modulaton that some speak of.
Most program material has natural asymmetry between the negative- and positive-going alternations of the audio waveform. The audio processors that most AM broadcast stations use utilize this reality, or create it if it didn’t exist naturally, and then control peak levels so that positive-going peaks can modulate the tx to +125%, and negative-going peaks are held at -100%. Some audio distortion may be created by doing so, but stations tolerate it for the increase that this provides in signal-to-noise ratio at the receiver. This is the approach used by AM broadcast stations, rather than exalted carrier.