square wave harmonic theory (time domain)

Hello,
I'm trying to determine if the higher harmonics of a low frequency square
wave are actually AM modulated. For instance, I can see the harmonics of a 1
KHz square wave all the way up at 100 MHz if I zoom into them on a spectrum
analyzer. Are those harmonics really there when the 1 KHz square wave has
finished it's transition and is in a steady state for half a millisecond? If
I was to sample this steady state with a ultra fast ADC and FFT the samples,
would I see the harmonics extending up through 100 MHz?

It's a bit of a mind bender when converting between the time and frequency
domain in the case of a square wave.

Thanks,
Thomas Magma


.

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