I think my car already has a heavy-duty battery installed from stock, since it has a big engine...
What do you think about my idea to monitor the empeg's amplifier remote and set it to zero Volt if it drops beneath e.g. 11V? Would it be difficult to develop a circuit for that?

Thank you for all your answers!
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---------------------------- MK1: 00314 (4GB) MK2a: 030103104 (30GB) Installed in a BMW 323ti