Here we have the pspice model of a phase modulated sine generator:
http://pspiceprograms.blogspot.it/2008/07/single-frequency-frequency-modulation.htmlThey say frequency modulation, but the model describes a phase modulation.
With PSPICE I simulated the AM modulation (100%) of a phase modulated carrier: with M=0.8 we have a good suppression of one sideband if the two modulating signals are 90 degrees out of phase.
As FM and PM are related by a derivative of the modulating signal:
http://www.st-andrews.ac.uk/~www_pa/Scots_Guide/RadCom/part12/page1.htmlAM modulating an FM modulated signal may produce the approximate suppression of one sideband with the two modulating signals in phase or out of phase, without 90 degrees phasing filters.
With PM, with the 90 deg shifter, and with constant PM modulation index, the unwanted sideband suppression does not depend on the modulating frequency (that is good but the 90 deg audio filter is required).
Instead with FM, without the 90 deg audio shifter and with constant FM modulation index, the unwanted sideband suppression depends on the modulating frequency.
In addition we have residual sidebands from FMing the carrier.
In conclusion this system of sideband control is very rough, does not provide a clean spectrum, etc, but seems to work. It is not perfect indeed...
I have not studied in detail. No time to spend for it.
Therefore we may have a perfect AM (100%) envelope and one sideband reduction (or suppression), but we need more spectrum (FM related spectrum) to compensate for it. Interesting but useless, I suppose ;-)