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Put a small capacitor bank on your power wire with largest fuse rating. Some brands use acc some use constant as main supply. If your radio is a true high watt rms MOSFET unit like pioneers and alpines it could easy draw 20 amps on loud bass notes if you have large speakers(voice coils) . This will make your output clip as unit is trying to draw more than is available.. A capacitor bank will discharge and charge in nano seconds and greatly reduce load on convertor..
Hope this helps