During wireless network transmission

when the feedback information from the destinations is lost or partially lost

the source cannot achieve the real accepting status of destinations.To improve the retransmission efficiency of wireless networks with imperfect feedback

a retransmission scheme based on network coding is proposed.The retransmission procedure with imperfect feedback is modeled based on POMDP (Partially Observable Markov Decision Process) theory.According to the system observation status and the maximum confidence degree

the source updates the system estimation status.And the source gives preference to select the encoding packet that can recover the earliest lost packet and the most lost packets according to the packet sending sequence.To increase the coding and the decoding opportunities the destination can buffer the encoding packets that cannot be decoded.During retransmission procedure the source focuses on the destination requirements.In the same conditions the relay with higher transmission reliability is preferentially selected to improve the transmission efficiency.Simulation results show that the scheme proposed can effectively improve the retransmission efficiency compared with the traditional retransmission scheme with imperfect feedback in wireless multicast network.