Young Lust - Pink Floyd

Sounds very similar to the cannons that the Chinese invented way back when.

I really don't think that most of the swords in WoT have a real world equivalent.  I think the closest thing would be the Seanchan, and if any race is using a katana type sword, it would be them.  Think about the armor the Seanchan use, segmented, insect like armor with thin plumes on the helms.  That sure sounds like Japanese type armor to me. 

Rand's sword is NOT a katana, it is specifically described as having braided quillions, which a katana does not have.  I think the closest thing would be a scimitar or a saber without the knuckle guard.  Or maybe a much straighter shamshir.

The Aiel spears are probably closest to African spears, probably zulu or something similar to that.  Especially the way they are described as holding 3 or 4 in one hand with a rawhide buckler.  That sounds like a traditional african setup to me.

The Ashanderai is probably a cross between a naginata and a dao.  A naginata probably wouldn't have enough blade space to engrave what is described on it, but a dao would.

A knife is a knife is a knife, and probably the different countries have different styles they prefer.

Perrin's axe is nothing more than a basic heavy, single bladed battle axe, very simple in design.  Could come from any number of different cultures.