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Again, you fail to realize...

Aperiodic signals can be created from a sum of sine waves (specifically complex exponentials).

The highest component in the sum is the highest frequency in the signal, regardless of what the "carrier" or whatever frequency is the "main frequency" .

Todd, again, you fail to realize, it appears, again, that you can synthesize any aperiodic signal from a sum of sine waves, each of which has a frequency. If any of those sine waves is above half the sampling rate, you've violated the sampling theorem.

You can synthesize ANY signal from a set of sine waves, as long as it has finite energy and finite frequency content. (and even sometimes otherwise, of course only mathematically, since you can't do either infinity in the physical world)

Your statement "aperiodic" and "barely below fs/2" are inconsistant. If a signal appears transient, it will have a wider bandwidth than you appear to expect.

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