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Greg T
It's also possible that the neighbor has two or more of the items that is causing the noise, one on each leg of the 110ac lines.
You are down to the last straw, you may have to contact the FCC seeing that there is a problem with whatever is transmitting the noise from the proven neighbor's house.
First contact the FCC by phone to explain your situation, they will guide you from there. They will more than likely ask you if you have contacted the neighbor and what their response was.
Do you have an SDR connected to a computer that you can use to find all the transmitted offending noise frequencies that are coming from said house and how wide they are (meaning that the noise is constant from say 26.000MHz to 30.000MHz (or greater) as shown on an SDR). Taking many pictures and sending them to the FCC showing how wide the noise frequency is.
Also making a "petition list" of friends with mobiles that have had the problem when in your neighborhood, along with a report from your ESP explaining that the problem is from the neighbor.
If you file a complaint the FCC will send a letter to both of you explaining the problem, and that you both have to work together to find and resolve the problem in a given amount of time (which is not very long).
Regardless of the outcome both of you will have to respond to the FCC with a finding. If not resolved in the amount of time given to both of you, you will have to respond to the FCC with an answer.
After that the FCC will make a decision that the neighbor may not like, having all your proof will help you. Having an amateur license would help also (as was stated).
At that point the the FCC may move in, they may want to look at your radio gear also.
This entire mess can be taken care of in one afternoon if the neighbor wants to help find the problem in their house without contacting the FCC. It would be up to the neighbor to comply with the FCC than to keep dragging it on and possibly getting a fine.
I had a problem where one neighbor contacted the FCC for TVI (that was also caused by any CB radio driving by, and a 2 watt hand held would wipe the picture off the TV screen from 20 feet away). I had a petition with 10 other neighbors that claimed no problems with TVI.
We were both given 20 days to comply and respond with a report ..... she did nothing to comply and also did not respond. All she wanted to do was to have the FCC shut down my station. The FCC, according to her, basically told to her "to pack rock salt". The phone company also said that since she bought her phone system in the house she would have to pay to find problems. The house was built in the early 1900s and had intercom wires running throughout the house from before the 50s. Their TVI problem ended when I moved out years later.
Just my 2¢