just for reference toyota interior wiring has remained almost unchanged for sometime now, heres a link
http://www.the12volt.com/installbay/forum_posts.asp~TID~88598 to a corolla which is the same as just about any toyota you can find(minus factory amplified systems), the noise your hearing sounds like one of the speakers you installed has the wire terminal grounding out to the door or chassis of the vehicle, this will cause the distortion your hearing at volume,
an easy way to test this is with your car on and your radio off, make sure your doors are shut and the windows are up, turn your radio on and listen for a faint or distinct pop coming from either one or both of the speakers before it plays any music ( you can repeat this step turning the radio on and off to be sure where the pop is coming from), whatever side you hear the pop from is the side that has the ground issue, pull that side off or both if it pops on both sides and make sure the terminals are not touching any part of the door as well as loose or frayed wiring when the speaker is screwed down,
now if you dont hear any type of pop in the beginning the culprit is still most likely a door speaker grounding somewhere it just makes it easier if you can eliminate taking the doors off if you dont have too, anyway hope this helps and if you have any questions audio or 12 volt related give me a shout...