DEILD is the easiest version of WILD. The book Exploring the World of Lucid Dreaming makes a mention of this technique. It says in Chapter 6:
"If you remain perfectly motionless upon waking from a lucid (or nonlucid) dream and deeply relax your body, there is a good chance that REM sleep will reassert itself and you will have an opportunity to enter a lucid dream consciously, as described in chapter 4."
Upon waking up, you just relax and continue a dream in your mind until a dream appears, usually within a minute. This doesn't work every time but it can work enough to have lucid dreams consistently once you become proficient at it.