first off I am not an engineer, so if I have made any assumptions that are potentially wrong I apologise, but I do believe the only way to learn is to ask questions.
all of the commercial water extractors rely on refrigeration technology. air passes across a water vapour condensing unit cooled by a basic refrigeration unit. compress a gas produces heat let it expand absorbs heat. these become less efficient below a 30% humidity. none of the units compress the actual air?
what would happen if you still pass the air across a condensing unit, into a compressor to a compressed air receiver and then use the expansion of the compressed air as the refrigerant in the condensing unit. water would be removed with the initial pass across the condensing unit and again after compressing?
macduff