Following a very useful post on Reddit:
http://np.reddit.com/r/PS4/comments/1p9y0l/pairing_your_ds4_controller_via_bluetooth/

I was able to put the DS4 into discoverable mode, pair and connect using
the 'hidd --connect 1C:66:6D:07:C3:E0' to get a working wireless/BT
joystick.

discoverable - hold 'PS' and 'Share' until light bar fast strobes.
connected - light bar turns on constant.
turn device off - hold 'PS' until light bar turns off.

Not sure why, but under a bluetooth connection the 'hidraw0' device only
outputs the first 10 bytes (compared to 64 bytes with USB connection)
--
$ hexdump -v -e '10/1 "%02x " "\n"' < /dev/hidraw0
01 7d 7e 82 7e 08 00 00 00 00
01 7d 7e 83 7e 08 00 00 00 00
01 7d 7e 81 7e 08 00 00 00 00
01 7d 7e 82 7e 08 00 00 00 00
01 7d 7e 80 7f 08 00 00 00 00
--

Attached are some bluetooth details for the device. No idea on how to get
audio to/from the device - I was kind of hoping it would behave like a BT
headset.
Simon