Do you live in a high-rise?
Actually, do you have power that causes the lights to flicker and dim sometimes?
I have a Sony which I bought in '98. After a couple moves, it did what you described. When it did that, I was living on the 10th floor, and our power was a bit "dirty" (enough so that my power supply in my PC fried at one point). Anyways, I thought the noise was due to age and moving it around, but then I moved again, this time into a new house and now my monitor makes no noise at all. (maybe jostling it fixed it, or maybe the noise is a voltage symptom)