I got a brand new set of NOS LS-30 rotary joysticks and could not wait to hook them up to a U-HID and try them out.  I heavily studied the wiring diagram located here 
http://www.u-hid.com/appnotes/AN1001.pdf and built me up the circuit.  I hooked everything up and configured the quadrature connections with the U-Config software.  However, under the Properties of the Joystick configuration in Windows, the two buttons seemed to fire quite erratically.  
Nevertheless, I tried it out in MAME and I got the same result.  Then I heard about one-click -- one turn where you set the analog controls to 0 and sensitivity 100%.  The result was almost perfect except for one thing.  Every 12th turn/click it fires the opposing direction.  So first 11 clicks clockwise are great, but the 12th goes counter-clockwise.  The same occurs for the opposite direction and it is on the exact same contact.  

I have taken a multimeter to the wiring harness from the 13 pin cable verified that no pins were out of place.  I also double checked my circuit and verified that quadrature signaling seemed fine (00, 01, 11, 10).  I don't know if this has anything to do with the diagram provided was for a Happ mechanical rotary vs an LS-30, but I believe that would not matter.
Any help would be greatly appreciated as I love me some Heavy Barrel.