A method includes obtaining data to be transmitted wirelessly and detecting if any transmitting devices having a higher priority are currently using at least one of multiple wireless channels. The method also includes transmitting the data wirelessly over the multiple wireless channels in a first specified manner when no transmitting devices having the higher priority are detected. The method further includes transmitting at least a portion of the data wirelessly over the multiple wireless channels in a second specified manner when at least one transmitting device having the higher priority is detected. The data could normally be transmitted using OFDM. When a higher-priority transmitting device is detected, at least a portion of the data could be transmitted using a reduced transmit power and a reduced constellation size and/or larger error correcting code. One or more wireless channels associated with one of two quadrature components could also be suppressed.