A wireless medical transducer that is attached to a patient's body contains one or more sensing assemblies for continuous, wireless and non-invasive monitoring of vital signs. These include EKG, core temperature, arterial blood pressure, arterial blood oxygenation, and others. A transducer may be configured either as a two-unit device where the units are connected by a short cable or a single unit. Sharing various components allows different vitals signs to be monitored with greater efficiency. Multiple radio transmitters may operate in the same environment without interfering with each other.