Wireless channels have a high channel bit error rate and limited bandwidth. The high bit error rate degrades the quality of multimedia transmission, and also increases the buffer size requirement at the client. In this paper, we propose a novel selective retransmission scheme for multimedia transmission over wireless ATM networks using the ABR service. Our objective is to develop a simple cost effective scheme which offers quality of service for MPEG compressed video transmitted over a noisy wireless channel. We have developed an analytical model to determine the networking requirements and receiver buffer size for our proposed scheme for transmitting multimedia over wireless ATM.