A high fidelity simulation of Doppler that may exactly replicate the phenomenology of the physical world. Compute the linear (Line of sight) kinematics (Slant Range, Radial Velocity, and Radial Acceleration) for each of a multiplicity of emitter-receiver pairs in accordance with exact 3D vector mathematics. Smoothly interpolate the linear kinematic parameters to produce accurate instantaneous values of these parameters at sample rates sufficient to produce negligible error effects in the presence of realistic aircraft maneuvers. Calculate the Doppler frequency, in accordance with well known physics, from the emitter carrier wavelength and a high sample rate. Calculate the Doppler effect as a differential phase (Doppler frequency×sample time) and apply the effect as incremental phase shifts to the carrier signal.
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