New approach to estimation of parabolic chirp signal with unknown parameters

This work deals with estimation of parabolic chirp signal with unknown parameters such as frequency, frequency change rate, frequency acceleration, amplitude and phase. The current estimation approaches of harmonic signals and chirps with unknown parameters are mainly based on parameter estimation. In this work the parabolic-chirp signal is represented as a rotating vector in a plane. The I and Q components of the chirp signal are similar to two dimensional circle motion in a plane with varying rotating rate. The main novelty of this approach is an estimation of a dynamic state of the signal like tracking of a spiraling motion. This estimation is based on a state dependent differential Riccati equation (SDDRE) estimation algorithm. The equivalence between parabolic chirp signal and spiraling motion is elaborated. Simulations of the vitality of this approach are presented.