Interesting, I "Just" finished up a complete rebuild of my BattleZone!
I have a couple of questions for you:
Do you have ANY game sounds at all when you coin up the machine (BattleZone doesn't have any attract sounds) ?
Does the start button light up when you coin up the machine ??
If you put the game in test mode (test switch inside the coin door) does it make any beeping noises, if so, how many times does it beep ??
Ok, here's the deal, BattleZone is what's called an X-Y game. It's uses a monitor different from the usual arcade machines. Because of the way it works, if there is no video signal from the game board, all the monitor will do is show you the dot in the middle, or show you nothing.
Unplug that monitor while you work on the machine to prevent that dot from burning in the screen !!!!
Look carefully at both the main and Aux pc boards. You will see various test lugs around the boards, they are all labeled, +5, -5, +12, +22, -22..... Measure voltage at those test lugs, the +/-5 should be very close to 5, The 12 should be pretty close and the rest can be several volts one way or another. If any of those are missing or way out of whack, look at the regulator board. Bob Roberts sells rebuild kits for that board.
If the voltages are ok, then sadly you probably have a game board problem. BattleZone boards can be tricky to diagnose. Ideally you would need a special piece of equipment called a signature analyzer to work on it. You can work on the board without it, but frankly, they suck to work on.
If it is your game board, I would actually suggest sending it out for repair or getting an exchange board from eldoradogames.com , the prices are very reasonable there and they warranty their boards.
I do have scans of the owners manual, schematics and monitor manuals, but I'd Need to know which monitor your game has, it could be a Wells Gardner or an Electrohome G05-801 or a G05-802. The model number should be on a sticker on the monitor frame, or post a pic of the monitor circuit board (I know they are a bugger to see in a BattleZone cab)
Good luck!!
D