A sampled data system has periodicities that can be taken advantage of here. I already said that aliasing spectrum can be canceled using these periodicities.
Yeah, you keep SAYING that, but you have yet to offer one shred of evidence that it can be done in real-world conditions that have any relevance whatsoever to digital imaging.
Software transform? When did I say that? You need a little background in communication systems to understand some of this stuff.
You're right, you didn't mention software, I did. I have a lot deeper background in the subject than you might think; I used to be very active in CB radio and understand the difference between frequency modulation, amplitude modulation, single sideband modulation, etc. and I've designed and built a variety of electronic devices. I'm also a fairly decent musician; I've been playing various instruments for about 30 years, and have been recording and mixing sound for about 15. I'm familiar with modulation effects, and know that frequency modulation, amplitude modulation (including single- and double-sideband variants) and all kinds of similar things can be implemented in software as well as hardware. You can get all kinds of stuff like that as plug-in modules for audio editing software like ProTools, Adobe Audition, etc.
IF your theory is applicable to digital imaging, than it can be implemented in software, and that software can be used to process images from digital cameras without AA filters (or at least having weaker-than-normal filters) to remove aliasing artifacts without disturbing image detail. To quote your esteemed scientific colleague Warren Mars, "put up or shut up"--either explain HOW aliasing might be removed from a digital image under the conditions you described earlier according to your theory, or STFU and quit wasting LL's bandwidth. Don't be afraid to use big words, I can handle it.
I've already posted an image that contains the kind of aliasing you described; the aliasing it contains exactly splits the difference (logarithmically) between the Nyquist rate and Nyquist frequency. If you can reconstitute it back to its 512x512-pixel size in a manner that closely matches the original image, then congratulations; you have something that can be used to approximately double the linear resolution of any digital sensor. If not, then I'm calling BS on yet another internet crackpot.