Have a Sony kv27v10 with this problem. 15 years it's worked fine then the picture would black out and come back repeatedly. Removed the back. There are 2 small knobs. There is a small circuit board attached directly to the back of the tube. On the side of this board facing into the TV is a thin black knob. Adjust this while the TV is on until you get a solid picture with no winking out. Careful not to touch anything else. To the right of the a/v inputs is another knob that can be used to adjust sharpness. Works perfectly now, no guarantees on picture life but it's better than a tv that winks at you.

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