Visit the local health department in your area, and file a complaint. State that your health is being effected by the noise. They will be forced to do an investigation.
I had such a problem some years ago, and the offenders were legally forced to stop with their loud noise. They were playing music so loud, that my walls were vibrating!
How they are allowed to enforce the law for noise pollution, is depended on the laws in your area. In some areas, people are allowed to make very loud noise at certain times of the day.
As for the method of blocking electronic noise, as per how your were describing it, this is just bar talk. If you make any type of interference that disrupts communications, then you may be the one ending up in trouble, and not the noise maker.