Ive got me the Digital Nasties

Interconnect cables and the CD player power cords....
Also issolating and/or filtering the AC power to the CD player from the rest of the system.

In my experience, the AC cord is the first tactical move against digital nasties then come AC filtering.

Trying to manage your audio cables so it doesn't cross with one another especially with powercords is a freebie tweak that works too.

Other than cables, this recent thread is helpful:

http://forum.audiogon.com/cgi-bin/fr.pl?ddgtl&1051384332