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In this work, we consider differential modulation in two-way relay channels (TWRC). In single antenna systems, we propose non-coherent schemes for both amplify-and forward (AF) and decode-and-forward (DF) where the channel state information is not required. These new schemes are counterparts of the traditional non-coherent detection in point to point communications. The difficulty with differential modulation design in TWRC is that the received signal is a mixture of the signals from bothdoi:10.1109/glocom.2008.ecp.884 dblp:conf/globecom/CuiGT08 fatcat:pc4c7eedozezngeh2rxm6ildkm