Subpixel drawing of slow-moving sprites

Hi.
I've been working on an iOS game with Flash for a while. Now I'm stuck with a display problem.
My game objects move very slowly and steadily and I notice pretty bad jittering/stuttering. This is GPU mode in Air 2.7, CPU mode is too slow. The cause of the jittering seems to be that Air moves my sprites (based on PNGs) only in full- and half-pixel steps, regardless of whether cacheAsBitmap/-Matrix are enabled. Is this an optimization by Adobe or can I get rid of this somehow? It's really annoying.
Thank you!

Thank you for your answers.
I'm currently only developing a low-res (iPhone 3GS) prototype, so I can't say how it will look on iPhone 4.
No caching at all or cacheAsBitmap + -Matrix both look the same: the very discernible half-pixel stepping effect.
Just cacheAsBitmap looks much worse as it produces full-pixel stepping.
I also tried using a larger Matrix and larger, down-scaled PNGs, but that didn't help either, unfortunately.
Positions of the sprites are all Numbers with no rounding. On the desktop in Flash player (with no caching), this produces beautiful fluid motions, but on the iPhone, it still snaps to half-pixels. That's why I was wondering if that was an optimization in Air.

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