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Interference management is a key issue for radar-communication spectrum sharing. Degrees of Freedom (DoF) is a powerful tool to analyze and evaluate the performance of techniques in multi-user interference management scenarios. However, DoF have been studied in detail in communications systems but rarely considered in radar literature. In this paper, we propose a definition of DoF for radar using Rényi information dimension. The definition and properties of Rényi entropy and information dimension are considered. The relationships among radar DoF, diversity order, and diversity gain are studied as well. It is shown that radar diversity gain is controlled by radar DoF such that maximizing DoF leads to maximizing available diversity gain under Neyman-Pearson detection strategy. When exponential distribution assumption is applied, radar DoF equals to diversity gain. The single-user DoF upper bound is …