Shannon Capacity under Relative Motion

The classical form of Shannon capacity describes the quasi-static capacity, i.e., the movement of receivers or transmitters is negligible compared with the signal propagation speed (SPS). When the speed of relative motion (SRM) between transmitters and receivers is comparable with SPS, the capacity may deviate from the classical form. This study takes a different perspective on the Shannon capacity and extends the classical form of capacity with constraints of SRM and SPS. The special theory of relativity is used to analyze the capacity when SRM approaches the speed of light. Results imply the threshold below in which we can neglect the capacity deviating from the classical form for wireless radios. While for low SPS which is far less than light speed, modifying factors should be particularly added to the classical capacity form.