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I used a 100AH Odyssey PC2150 deep cycle battery to power my modified Sony SCD-1. They have vanishingly low impedance, which is a function both of their design and high AH capacity. It's good to add a large amount of capacitance between the terminals-- particularly using an array of parallel capacitors. This filters noise and improves transient response, even into low current loads. Keep the battery cables to the inverter thick and short.
I am converting from DC to AC. My amplifier is a 115v AC amp, thus the conversion to AC must be done. Along with capacitors @dgarretson , any link you could send me on how this might be achieved would be greatly appreciated. I have no knowledge at all when it comes to electricity. Especially capacitors(had to Google what they were).