Imagine soldering plugs onto a length of shielded cable. Step one is to strip the jacket back far enough to expose the right amount of braid, strip back enough of that to expose the inner conductor's insulation, and enough of that to expose the center conductor.

Now, imagine that, at one end, you strip the shield away along with the outer jacket, so there's no braid to solder. Now you have a cable that won't contribute to ground loop, but the shield will still be grounded at one end, whichever end sounds quieter.

Now, if you already have a cable which has molded ends, and/or you can't/don't want to open a plug, you can carefully cut through the jacket and shield near one end and accomplish the same thing. That's what I was talking about.