As a Dream Interpreter I hear from insomniacs all the time who tell me "I don't dream," I remind them that it is biologically impossible to NOT dream. However, If you are a true insomniac -
you struggle with falling asleep and have a difficult time staying asleep- then it will be difficult to recall your dreams because you are not going into a deep sleep. Repositioning your bed may offer some relief.
According to Feng Shui experts do not position your bed in front of the bedroom door. As a matter of fact it should be as far away from the door as possible.
I took this recommendation seriously and moved my bed. Later I realized that I place my bed parallel to the bathroom; another no-no according to experts. I totally lost sleep following that move! Everytime my husband went to the bathroom during the night...yeah...not good. Don't place your bed next to the bathroom.
Also, you want to position your bed in a way that gives you a wide scope of the room. According to Feng Shui for Dummies:
"...diminished range of sight within the room can restrict the sleeper’s chi and his or her life vision. The larger the space in front of your bed, the more your life expands, breathes, and improves."
And even though you want your bed away from the door you should position it so that you're able to see the door. This will minimize your feeling nervous on a subconscious level and will add to your insomnia
Also, do not place your bed underneath a window, the chi or energy flowing into your room may add to your insomnia.
Now I must admit, I'm not an insomniac. I don't struggle with insomnia. But I do like a good night's rest so that I can tap into my dreams and therefore I'm always searching for better ways to sleep.
Two walls out of four have windows. 
The other two walls have closets and a bathroom. So these recommendations were not beneficial for me.
I'll assume they aren't for you either. Therefore here is one more suggestion that may help you as it has helped me.
Position your bed in a way that allows your head to face southwards. This theory is based on the Earth's magnetism.
The Earth has a magnetic field that goes from north to south. Humans also have a magnetic field, theoretically located in our heads. Therefore, if you sleep facing southwards you are in alignment with the earth. If you sleep facing north you make the positive pole of the Earth coincide with the positive pole of your body –making both repel each other.
In the Western culture we tell people to sleep facing eastward. Sleeping with your head at the opposite pole of the earth will makes the energies flow correctly and generate many health benefits.
The truth is there's not enough research to help us to determine if any of this is true and no way to prove that it's false. My point:
If you suffer from insomnia, if you are a self-proclaimed or diagnosed insomniac then experiment. Change your bedroom around. Give it 4 or 5 nights to see if you sleep any better. If not change it again.
