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Concurrent Multipath Transmission (CMT) mechanisms have been proposed to improve the transmission performance by means of concurrently transmitting data packets via two or more network interfaces. Based on the wireless cognitive radio, that can dynamically adjust the transmission parameters of the specified device, the required CMT mechanism in the wireless environment differs from that in the wired one since the multirate capacity which the data transmission can take place at a number of different rates according to channel conditions, is characterized in wireless networks to cater for the error-prone problem. Accordingly, this paper extends previous CMT mechanisms to propose Multirate-aware Concurrent Multipath (MCM) transmission mechanism to maximize the data good-put in wireless networks. Compared with the previous CMT mechanisms, the MCM mechanism has a higher data throughput and obtains the better transmission performances in terms of end-to-end delay, packet loss rate, decodable frame rate, and peak signal to noise ratio.