price obviously come into it somewhere
but i wouldnt dream of spending any money on any car audio if its not installed correctly and to its full potential
here is how i would personally do it
i would keep the head unit hes is allready using
i would first change the front speaker components which will still work wonderfully well off the standard amp but a lot better of an aftermarket amp which has a little more grunt and a tad more refinement
heres my reccomendation
http://www.caraudiodirect.co.uk/rainbow-slx265-deluxe-p-3852.html?cadid=7e5d754c46ff83676f927eadf5cd3067
its possible to spend a lot lot more on speakers but if there installed well and correctly set up you dont really have to
i recently did a lexus with speakers costing £230 which was directly competing against a car with £7000 speakers you would think that the car with £7000 speakers would win easilly but it didnt and installation is the reason why
as andy has previously mentioned before the door panels on the a3 are not the best for audio applications but believe me there are worst cars out there...
they are quite light
the speaker fixes to the door panel and theres no inner door skin
heres how to get the best from the door panel
you will need to make a baffle which will fit to the audi door panel (do not use the pre formed plastic ones from the likes of autoleads they dont fit very well and they resonate like buggery)
ideally the baffle needs to be as thick as possible (but remember i cant be so thick as it holds the door card off )
before you mount the baffle to the door card use a sheet of dynamatt material on the backside of the doorcard itself
heres some sound proofing applications
http://www.caraudiodirect.co.uk/accessories-sound-deadening-c-73_72.html?page=2&sort=5d&cadid=7e5d754c46ff83676f927eadf5cd3067
not expensive but well worth the effort
put a layer of dynamatt between the baffle and the doorcard
to do the job and get the best possible you would paint the major surfaces of the doorcard with a product similar to this stuff BEFORE
APPLYING DYNAMATT( i have found a similar product on ebay for use on kit cars for £7 )
http://www.caraudiodirect.co.uk/second-skin-spectrum-gallon-p-4859.html?cadid=7e5d754c46ff83676f927eadf5cd3067
once cured the product goes like rubber and adds a layer a couple of mm thick if you add weight and mass to the doorcard you change its resonant frequency helping to eliminate rattles
you would then apply dynamatt over the top of this
when finished the doorcard should not rattle or resonate
before you apply the dynamatt gently rub the back of the panel with metholated spirits to make sure you get the best possible contact with the panel
use a heat gun to warm up the dynamatt before hand and if possible use a roller to apply it as this puts even pressure on the material
now using the same method apply dynamatt to the inside of the door itself
competition cars will use a couple of layers but a single layer is fine for normal use
if you really want the best performance possible heres a couple of things you can do to the baffle itself before you fix it to the door card
when you install the speaker into the baffle dont just screw it to the baffle route out the thickess of the speaker and make sure its perfectly flush when its fitted with the baffle itself like this
http://www.talkaudio.co.uk/vbb/attachment.php?attachmentid=9051&d=1173727374 (this aids midrange dispersion charecteristics and avoids the driver breaking up prematurely )
on the reverse side of the baffle you can either chamfer or put a radius on
the inside of the hole (this can help with phase cancellation and again helps the midrange frequency response )
i appreciate not everyone wants to go to this extreme to fit a pair of speakers in there car by using sound proofing material and making there own baffles
but this just shows it is possible to achieve very very good sound without spending a fortune whether or not this person wants to go to these extremes on installation or not is upto them