First data units associated with one or more power-constrained sensor devices are transmitted in a wireless network, and second data units associated with offload of cellular telephone data are transmitted in the wireless network. Priority is given to transmission of the first data units over transmission of the second data units with regard to access to a wireless medium. Transmissions in the wireless network are permitted at a plurality of different channel bandwidths including a minimum channel bandwidth, and transmissions in the wireless network corresponding to offload of cellular telephone data are permitted only using a channel bandwidth, among the plurality of different channel bandwidths, that is greater than the minimum channel bandwidth.