Tracking the transmission matrix of a moving fiber with the transmitted data

During data transmission, the dynamic change of a scattering medium will make the measured transmission matrix (TM) invalid, so it is necessary to repeatedly measure the TM to achieve a long-time data transmission, which requires stopping the data transmission process frequently to measure the TM and leads to a reduction in the communication capacity. To solve this problem, we propose a TM tracking method during data transmission. In the case of more than three discrete levels of phase modulation, this method can realize the calibration of the TM with the intensity pictures captured by the camera and the recovered data, so it does not require stopping the data transmission process to measure the TM and thus avoids the loss of communication capacity. We have proved the feasibility of this method through simulations and experiments and realized the continuous transmission of random data and image data through a moving fiber with high accuracy.