Extending Aerial Range of 360 USB receiver
1: As brhans said, that gold rim-trace looks like it's supposed to be connected to a (now removed) metal (or foil tape) RFI/EMI shield to protect the "soft parts" of the board from harmful interferance. That needs to be replaced.

2: Also as brhans said, your antenna is the gold trace at the far right of the board.

3: If you want to attach an external antenna to this device, you can solder on an antenna connector to attach the coax feedline to like so:
"Scratch off" the existing antenna (only the gold part). (DANGEROUS if you don't have any pcb modifying experience)
Attach antenna connector to board near antenna signal trace (red circle in image below)
Solder jumpers from connector's signal pin/pad to antenna signal trace (red circle in image), and from connector's ground &amp;/or shield pin(s)/pad(s) to your ground plane (blue dot in image)
Buy/make an antenna for your board's rf frequency (and impedance), attach its cable to your new antenna connector, then mount the new antenna somewhere as far away from metal surfaces as possible (and obviously outside of the metal pc case).