It appears the the FX-1 shoots HDV. Finding the exact specs. has not been all that easy, but if it records via HDV to miniDV tape, then all you should need is an IEEE-1394a (FireWire 400) cable and connector on the computer.
Starting with an HDV Project, you should then be able to just use PrE's Capture module to transfer the data from the tape in the camera, to a file on the computer, and into PrE for editing. Note: the only preview, during that HDV Capture will be on the camera, and not in the PrE Capture window.
If I missed the specs. of that camera, please correct me, as to how it records.
From what I read about your camera, you have a camera that records to miniDV tape. And, it does have an iLink.
From that I am assuming that you will be doing a HDV data capture firewire into Premiere Elements 12 Capture Window.
computer with firewire port
Here is some reading material
from Sony about connection of camera to computer
from Adobe about principles of DV and HDV data capture firewire into Premiere Elements Capture Window
This document applies to version 11 and 12.
If problems develop with HDV capture firewire into Premiere Elements, some have done HDV capture firewire into HDVSplit and then imported the split clips (.m2t) into Premiere Elements with Premiere Elements Add Media/Files and Folders/Project Assets.
Please review the above and then we can decide what next if necessary.
I did not Hunt's post until after I had posted mine.
We hope that you find the comments helpful. Please do not hesitate to ask if you need clarification on anything written, especially if your computer does not have a firewire port. USB connections do not work for this sort of thing.