Never heard about that on an LCD
Found this in a related forum:
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This is called video buzz and is caused by a leakage of the video signal into the audio. The vertical synch pulses are very strong and if they get into the audio amplifier they make a real buzzing sound.
Try using another input. If you are using the s-video input, try switching over to the composite or component video inputs and see what happens. It may be better on one of those.
If it remains on all inputs it is probably due to a crosstalk problem developed in associate with the main video processing IC chip. The external components could be the problem as well as one of the power supply ripple reducers that decouple the audio amplifier from the video.
So, you may need an expert tech who can trace the problem down at the circuit level and find the culprit parts.
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So judging by that my money would be the DVD players AV-out (internal short?)