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Theoretical radar-Doppler models for pivoting mechanical and biological objects-of-interest

A set of approximate theoretical equations for the Doppler response of monostatic radar signals due to slowly pivoting objects are derived. The treatment is based on physical models extracted from the mechanical engineering community. Potential applications include analysis of load-based vehicle classification and detection of biological movements such as human joint rotations. Several example calculations are presented based on the resulting theoretical formulas. These examples include Doppler calculations for notional first-order vehicle suspension models and first-order human joint (arm/leg) rotation models. Each set of example calculations includes two sets of notional radar parameters in order to provide insight into potential Doppler pivot detection capabilities as a function of basic radar parameters such as frequency and PRF (pulse repetition frequency).