I've also had pulsing, in my left ear for about two years. I saw an ear, nose, and throat specialist and had a MRI and blood work done -- everything normal. He said he thought it might be due to bone loss in the ear. I do notice it gets worse when I'm anxious, and it's very annoying at night when I change positions and hear my pulse speed up. I'm sorry you have this too, and wish I could offer you a solution! I think it is a good idea to get it checked out by a doctor, since other things can cause this.
Merry Christmas