There are commercially available instruments, that range from an app for your iPhone to a fully commercial “listening” kit. That said, you might be better hiring a qualified audio engineer to set up a monitoring device that records the sound levels in your home (not the actual sound). I have no idea how much that might cost but at the end of the day you will have a reliable record and an independent professionally qualified witness.
That said, I’n not sure who might provide such a service but a deep Google search dug up these guys: Noise in Apartments | Audiometric & Acoustic Services (noiseconsult.com.au) Might be worth a phone call. Good luck!
Indeed, I engaged an acoustic engineer for my complaint against my upstairs neighbours and because they were an expert witness, it was received well by the tribunal and showed the noise levels, duration, and incidents were well above normal levels.