Sinc Interpolation, Resampling, Aliasing Etc.

Hi all -

I've been reading about sinc interpolation and looking at the Gen 16-point windowed sinc interpolation, and I know that you can use a windowed sinc function both as an anti-aliasing filter and also for resampling audio as per the example.

I guess I'm operating from some sort of naive assumption that the using the windowed function for resampling would also simultaneously alleviate aliasing, but I that sinc playback example clearly aliases, so I must have something wrong here!

Two questions:

1) Re: DSP Theory - can anyone elucidate my misunderstanding? Is it just the same function, used in two different applications, resampling and filtering?

2) Re: Practical matters: how would one to begin to antialias the playback of the 16-point windowed sinc interpolation example?

Perplexedly,
Tristan