In　order　to　apply　Time-Grating　sensors　to　the　high　speed　fields,　a　novel　angle　measurement　system　is　designed.　This　system　can　achieve　dynamic　measurement　and　reduce　costs　compared　with　the　conventional　measuring　system.　Firstly,　optimized　coordinate　rotation　digital　computer　(CORDIC)　algorithm　is　utilized　for　rough　angle　calculation.　Then,　a　high　accuracy　compensation　algorithm　is　proposed　to　realize　precise　angle　calculation,　considering　linear　relationship　when　the　angle　is　close　to　zero.　This　method　not　only　reduces　the　number　of　iterations,　but　also　achieves　higher　output　accuracy　and　high　real-time　performance.　Finally,　the　measurement　error　caused　by　the　algorithm　is　discussed,　and　the　error　of　the　whole　system　is　traced.　With　the　parasitic　time　grating　angular　displacement　sensor　as　the　carrier,　by　adjusting　the　sensor　input　and　using　the　oversampling　of　high-speed　Analog　Digital　(AD),　the　whole　solution　system　is　implemented　and　a　testing　platform　is　built.　Experimental　results　indicate　that　the　measured　precision　of　the　system　is　below　10″　when　the　signal　of　sensor　has　been　calibrated,　and　can　satisfy　the　dynamic　measurement　requirements.　©　2017,　Science　Press.　All　right　reserved.