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My Onkyo TX-SR602 has a subwoofer pre-out RCA jack (and I guess that not a balanced output??). The Velodyne CHT-10 takes stereo RCA line-level inputs (also not balanced??)
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Correct on both counts.....
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Is it possible/appropriate to use connect any/all of the receiver, sub, or BFD with "balanced" cables instead, and eliminate hum?
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Not unless you are able to fabricate/modify your own cables.
Your receiver only supports unbalanced output. This is a single ended signal on the pin of the RCA connector, with the ground on the shield being used to complete the circuit.
The BFD only truly supports balanced connections. This consists of a differential input of a plus and minus signal into a differential amplifier. The shield of the balanced circuit is a cold conductor providing shielding only. It isn't part of the completed circuit.
The BFD allows the connection of an unbalanced circuit to its balanced circuits by shorting its minus and shield together, thus eliminating the advantage that the balanced circuit offers.
If you're able to fabricate your own cables, there is a trick you can play on the BFD, that others have had success with, but short of that you'll have to find other ways of eliminating the ground loop....
brucek