Though I have not had to address a noise problem in my home, I have had to do so when staying in a hotel on business. Guy next door liked to have his tv and radio blaring and also liked to yell whilst talking on the phone.
So I popped a note under his door. I listed the TV shoes he watched and what songs he sang to and on which radio station, and then I hoped his lunch with Bill the next day went well – the conversation he yelled into the phone. And hey presto! Problem gone!
Sometimes people do not know how loud they actually are nor how thin the walls are. But I believe that most people do not want everyone knowing all of their business. So by letting this hotel neighbour know that I knew his every move due to his loudness, he may have realised he had lost some of his privacy by not realising there was someone else on the other side of the wall.
So list the noise, type, and hour it occurred if you can actually hear it that well. Perhaps your neighbour will value his privacy more than he does your comfort!