Converting WAVs to ADXs without volume loss

I’m trying my HARDEST to find a way to convert wavs to adx without volume loss, but it seems impossible. Tried ADXENCD, PES and DKZ. They all reduce volume drastically. If I set the volume extra high before it gets turned to an ADX, it sounds distorted because it’s clipping. Any ideas? I think this one may be unsolvable.