It appears that the step-down transformer you are using probably has a two-prong plug and outlet, while the Luxman has a three-prong IEC receptacle. While in most circumstances that might be sonically advantageous, as it would break any ground loops with interconnected components, I’m wondering if in this case it might be causing or contributing to the problem.
For instance if the Luxman provides galvanic isolation of whatever digital inputs you are using, the lack of an AC safety ground connection may result in its digital and D/A converter circuitry being essentially "floating" in an uncontrolled manner relative to the ground of the signal source, perhaps resulting in noise issues and consequently in jitter issues.
I’m just speculating, of course, but it might be worthwhile investing $35 plus shipping in a converter such as this one, which provides three-prong connectivity:
http://www.voltageconverters.com/itemdesc.asp?ic=VC500JGood luck. Regards,
-- Al