I saw this video yesterday and it looks very interesting. After watched, I did my assignment because I have all the three basic things to try the sound. I used this:
1. Squier Vintage Modified 77's Jazz bass(all two volumes up and tone control all the way too)
2. New Strings (no new strings? Forget about it)I use Ernie ball 45-100 on my bass
3. Behringer BDI21 with this settings:
-Drive=like 3:00 o'clock
-Blend=all the way up
I don't have the way to record the sound for you but I'm sure that this will work.
The video is a great tutorial but like he said (and believe me it's works) you don't have to spend in a Geddy or USA jazz bass or even the $199 sansamp bass driver. With a great Squier Vintage modified jazz and the Behringer BDI21 you can get the sound. Try it and have a good time playing some Rush. http://www.youtube.com/watch?v=c11QO7pCr50