You might experiment with the cord on your CD player first. A lot of people here use Shunyata cords that are designed to quiet digital sources (older ones had the "VX" designation). I've used them myself and found that they made a big difference in the background silence of my system. I didn't like the Shunyata cords on my preamp or amp, though, and felt that on those components the overall sound was more compact and veiled with the Shunyata. Your experience may be very different, of course.
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