I am actually curious about how Bayer filter demosaicing would work if you remove the LP filter --- this would imply that you cannot interpolate between the neighbouring photosites, because they are not correlated.
Thom Hogan mentioned Rob Galbraith's article:
I've been having a hard time tracking down an absolute answer on what that D800E filter does. Rob Galbraith wrote that it blurs verically and then deblurs, while the non-E model blurs horizontallly and then blurs vertically. I've gotten conflicting answers out of Nikon sources, but I believe Galbraith is correct: the front stage of the filter on the D800E is part of an optical system in the filter itself.
Rob's article (http://www.robgalbraith.com/bins/multi_page.asp?cid=7-11674-12304) includes some diagrams, but it is not entirely clear whether neighbouring photosites (of the same colour) will still be somewhat correlated, or not.
I have seen MTF50 values greater than 0.25 cycles per pixel on unsharpened images, which implies that normal LP filtering gives us resolution between 0.5 cycles per pixel (upper limit from sampling theory) and 0.25 cycles per pixel (lower limit if LP filter ensures neighbouring photosites of same colour are very strongly correlated). The peak MTF50 values I have seen are about 0.28-0.3 cycles per pixel, and Norman Koren mentions values of 0.33 cycles per pixel.
The D800E could in theory squeeze into that space, i.e., give us resolution between 0.3 cycles per pixel and 0.5 cycles per pixel. It would be very interesting to see exactly where it ends up in this range.