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Coexistence of more than one wireless communication systems in a shared band such as 2.4 GHz ISM band has been one of hot research topics. As an example, there are many research results related to the coexistence of Wi-Fi and Bluetooth systems in the ISM band. Recently, many schemes for coexistence of Wi-Fi and WiMAX systems in shared bands such as 2.4 GHz ISM band have been proposed. In this paper, proposed scheme for the coexistence of Wi-Fi and WiMAX systems is TDO (Time Division Operation) using of vestigial power management bit within Wi-Fi frame structure.