well a battery is only good when your running your stereo when you have the igntion turned off,
its a well know fact a battery is used for starting a car and as soon as your car has started then the alternator supplies the power to the car not the battery, the battery then is used for "power surges" e.g. wipers lights,
so effectivley your stereo can only pull so much power from the alternator before it drains power from battery, hence the bigger the alternator the less chance of your lights dimming, look in any decent ice car and u will see a uprated alternator, the extra batterys are effectivley like power caps, they just stop your car dying when u suddenly pull extra 40amps from a bass note,
dont get me wrong upgrading your battery will help but u should look into your alternator for a better constant power supply
Tom