home dehumidifiers are just little refrigerators, suck in moist air over cooled coils which condenses the water. It looks like the desiccant technowledgy is more commercial than home use and probably costs more than the average house.
If you put a fan behind a water filled kettle on a woodstove that is hot you are creating a humidifier. That is putting moisture in the air. A dehumidifier takes moisture from the air and converts it into water, normally stores in a container and needs a compressor. So Darkgael and Gene I believe are talking about humidifiers not dehumidifiers I would guess?
No, I'm not talking about a humidifier. Because we live in a very humid state, I use dehumidifiers in unheated rooms and sheds. I may well be wrong about the compressor issue, but the littlest one never sounded like it had anything but a fan. It certainly did pull water out of the air in the closet next to the bathroom till the power supply died.