Methods and bounds for waveform parameter estimation with a misspecified model

Parameter estimation for phase modulated signals is an important area of research as it is applicable to many areas ranging from radar signal processing to gravity wave detection. However, in many of these applications, the phase model required to accurately characterize the phenomenology is either unknown or too complex to accurately estimate the parameters. The recently derived misspecified Cramér-Rao bound is expanded and applied to phase modulated signals. This bound is then used to gain insight into the performance of ionospheric profile estimation.