You know Gaw, I think it would have been overall better to just link the thing. Plus it discusses single combat, an activity quite irrelevant to unit-level battlefield performance. But while we're at it, lemme link the articles I like to bring up whenever I encounter the "katanas R UBAR" line:
No Best Sword
Hype...
Methinks mr. Reinhardt has a bit of a peeve about the topic. Can't say I blame him.
Oh yeah, and Katana vs. rapier might also be an interesting read, although not very relevant to the discussion at hand as rapiers were purely civilian weapons; you never saw the buggers on battlefields.

IMHO "Elite infantry in Medieval times" is a somewhat self-defeating query owing to the fact that the closest thing in general circulation was knights and other men-at-arms fighting on foot, ie. dismounted elite cavalry. The only real exceptions are the Varangians and Janissaries, plus conditionally (as the "elite" status needs to be clarified first) the likes of Swiss, Brabantines, some Italian city-state militias and other above-average heavy infantries who although effective were by no means "elite" in either equipement or level of training. Indeed, most of them were more or less part-time soldiers...