sign off v. i. To terminate a communication, especially one conducted by radio waves; to terminate a broadcast over radio or television; as, this is your reporter in Cairo, signing off.
... elimination and deduction, I arrived at the right one. To make it harder for me they had put it around a corner in an elbow-shaped wing of the building and had taken the sign off the door. This place was full of porters and loud cries. To be on the safe side I tendered retaining fees to three of the porters; and thus by the time I had satisfied the customs officials that I had no imported spirits or playing cards or tobacco ... — Europe Revised • Irvin S. Cobb