The false ceiling is an option of what we have to install in new flats these days (I work in an architect's), and I've been doing a bit of digging around for information on the best way of insulating a single room within a house.
My problems slightly different to the OP's as my new AV room is on the ground floor - I'm kind of fortunate in that mine is new build, trying to work with what's already there can be expensive - but I still have insulate the floor above as there'll be a kids bedroom.
The main rule of thumb is that a good dense mass will reduce impact sound (footsteps) and sealing airgaps will reduce airborne sound - you more or less have to make the room airtight, so you need a mixture of the 2.
I'm lucky as can build the new walls up with a dense concrete block and wet plaster on top (plasterboard on dabs is a no-no as its porous which means air can travel through, if air can pass through - so can sound)
In the old days you could get away with a standard floor joists with floorboards above and plasterboard below, now you can't mainly because of fire regs and more recently sound. Getting the sound insulation up to scratch if working with an existing floor gives you 2 options - lose room height upstairs or downstairs - the latter is the better or you'll be making a step up into the room otherwise, better to have a slightly decreased ceiling height downstairs as it'll be less noticable.
There's a few links that might give you some handy info.
http://www.soundstop.co.uk/solutions...solution_1.php http://www.british-gypsum.com/PDF/wb...0sil_07_05.pdf
"Resiliant Bars" are a kind of shock absorber - they sit between the joist and the ceiling and absorb any vibrations that might otherwise pass through.
You'll certainly need some insulation between the joists - 100mm is usually enough, anything more would be a bonus dont pack it in (like compressing 250mm deep insulation into a 200mm floor).
You may also get benefit from stiffening the existing floor - add a row of strutting down the centre of the room, and replace your current floor floorboarding upstairs with the densest you can get hold of - we usually specify a layer of Gypsum 19mm Soundbloc plasterboard between the joists and the floorboard, but this will give a small step also.
Something else that gets overlooked is the door opening, we'll usually specify a rubber strip around the door which is more widely used in fire resistance, and on the floor a weatherbar from an external door!
Apologies if some of this is a repeat, hope you find it useful.