A wireless electronic device having first and second baseband processors is provided. In one suitable arrangement, radio-frequency power splitters and adjustable low noise amplifiers may be form in the receive paths. The use of power splitters allow signals associated with the first and second baseband processors to be received in parallel. In another suitable arrangement, radio-frequency switches are used in place of the power splitters. The states of the switches may be controlled using at least one of the first and second baseband processors. The use of switches instead of power splitters requires that wake periods associated with the first baseband processor and wake periods associated with the second baseband processor are non-overlapping. To ensure minimal wake period collision, a wake period associated with the second baseband processor may be positioned at a midpoint between two successive wake periods associated with the first baseband processor.