Two questions rolled into one here...
I have a number of functions which are called multiple times per frame for a real-time video processing application. Taking advice
Yes, this is overkill and will actually result in slower code than if you passed the int by value. An int is four bytes; a reference (essentially a memory address) is either also four bytes (on a 32-bit machine) or eight bytes (on a 64-bit machine). So you may actually need to pass more information to the function -- and additionally, you have the overhead of dereferencing that reference.
If you're passing something bigger than an int, however, it's more efficient to use a const reference, because you can pass just four or eight bytes instead of having to copy the whole object.
Edit Regarding Qt: Yes, if the slot takes a const reference to an object, then the reason for that is to save the overhead of copying the object.