It is of great value to study control systems employing sensors and actuators which are geographically separated. In this paper, we study a system with bounded noise and stabilize it under output quantized feedback. Some people have done research on full-state observable linear systems. Here we consider the general(not necessarily full-state observable) output feedback situation with system noise. We use dynamic quantization strategy and prove the quantized system with a state observer can achieve practical stability at the same minimum bit rate in the full-state case. Furthermore, we give an upper bound of the estimation error. At last, we show simulation result of the state of output feedback control on the system.