Abstract. As one of the key candidate technologies for 5G, the NOMA (Non-orthogonal Multiple Access Technology) employs the way of power domain reuse, which has improved the system throughput and frequency utilization effectively. Among the existing discussions about the NOMA system, it is mostly acknowledged that the folding signal is completely synchronous. However, in the actual using, the folding signal is not completely synchronous. Aiming at the time delay problem of the folding signal during different users' transmitting, this paper puts forward a new successive interference cancellation algorithm. Firstly, the constructional output data is gotten through the way of asynchronous sampling. Then, the symbol is reconstructed by the manner of the new successive interference cancellation in the receiving terminal. The results show that the new method has obtained the cleaner exceptional properties of the interference signal cancellation. Meanwhile, the channel status information is estimated through Kalman filter dynamic analysis, thus improving the error code property of the whole channel.