Right, so before anyone jumps in with the obligatory ". It's just thermal expansion". Lecture - yes, that's a thing, but thermal expansion doesn't care about your schedule and it certainly doesn't knock in patterns.
The 3am detail is what gets me. That witching hour clustering is genuinely consistent across hundreds of documented cases. It's not coincidence, it's not confirmation bias - the frequency is too statistically significant to wave away.
Few questions worth asking yourself:
Is the knocking rhythmic or irregular?, Does it seem to respond when you knock back?, Any recent significant changes in the household - deaths, arguments, major stress events?
Poltergeist activity notoriously attaches to emotional turbulence rather than locations. People always assume it's the house. Often it isn't.
I've been doing this long enough (Whitby's practically a starter pack for strange phenomena) to know that the boring explanations usually have already been ruled out by the time someone ends up on a forum at midnight writing about it. Nobody posts here first.
Set up a basic audio recorder - Zoom H1n is cheap and reliable - running overnight near the affected wall. You want timestamp data, not just your memory of events. Pattern recognition becomes much easier when you've got something concrete to analyse.
What does the knocking sound like, exactly? Hollow? Dense? Directional?