Thank you very much for your reply.
The language is English, and I'm trying to transcribe the sound in English.
I don't hear an "h" sound when listening to the recording.
It sounds like the "eu" in "eureka" (possibly written woo), and "e" as in "evil" (possibly written whee).
Could I write this sound as "UUEE"?
Thanks,
Edlam
*I am not a linguist, obviously

Do you perhaps mean "phew-wee" [ˈɧuːˌwiː]?
(EDIT)
I'm not even sure how to transcribe onomatopoeia, should that be /phonemic/ or [phonetic]? I don't recall [ɧ] being a phoneme in English, and it's probably not the same sound as in Swedish, despite being the same symbol.