> Lying in bed, relaxing and not focusing on not being able to sleep.

That sounds a lot like meditation! Let your thoughts flow, do not grasp onto them, simply lay there and breathe. It really does help. I have been doing this for the past two weeks and it has helped me realize that my "sleeping problems" are mostly self-created. I found my biggest problem during bedtime was always rooted in thinking. In hindsight, it makes total sense that training myself to let go of my thoughts was the solution. The short term gratification of interesting thought is outweighed by the long term benefits of healthy sleep.

I have started meditation with one of the aims being to improve my sleep. I still have problems sleeping, but it helps a lot when you are able to let thoughts go without ruminating on them.

I like to think of meditation as garbage collection for the brain. If you don't do it at a specific time to suit you, your brain will do it at the only time it's idle (when you're trying to fall asleep)