Recognition of micro-motion characteristics has important research values in target detection field, which can be realized by employing the dynamic speckle technology. Based on the rough surface scattering theory, this paper studies the dynamic speckle time correlation function for rotating rough convex targets, and provides the dynamic speckle time correlation function for rotating cones. Comparison of the simulation results with those obtained under the experimental conditions confirms the validity of target time correlation length for cone targets. The angular velocity and line-of-sight angle for rotating cones are inversed by adopting particle group algorithm. Results show that this method is capable to identify the line-of-sight angle within 2090 and the angular velocity within 0.56 r/min for rotating cones, thus providing theoretical and experimental bases for recognition of micro-motion characteristics.