Active sensor waveform design for motion insensitivity

Waveforms for active sensors (e.g., radar or active sonar) are often designed to maximize sensitivity to target motion to enhance tracking performance. The paper addresses the complementary problem of waveform design to maximize insensitivity to motion. Insensitivity is desirable in cases where motion is a nuisance to the sensor system. The motion insensitivity problem has been approached in the past using the trajectory diagram, related concepts of trajectory ambiguity, and generalized ambiguity functions. The paper discusses motion insensitivity in terms of both trajectory ambiguity and the generalized ambiguity function. The relationship between trajectory ambiguity and motion insensitivity via a generalized ambiguity function is described mathematically. The hyperbolic FM (HFM) signal is used as an example of a velocity insensitive signal.