I can't say that I've particularly noticed much noise.
I'd say my TRV33 is a lot quieter than my previous Hi8 Sony, and about the only noises I hear are the 'bleeps' when operating the touch screen.
Do you mean noise that you hear when operating it, or noise that the on-board mic picks up?
Is the noise actually coming from the camcorder or the tape? It may be that you've got a dodgy tape in there. Have you tried it with a different tape?