Compressive Chirp Transform for Estimation of Chirp Parameters

This paper develops a new algorithm for estimating the parameters of multiple chirp signals in noise. The proposed method uses Compressive Sensing (CS) formulation of the Discrete Chirp Fourier Transform (DCFT) basis to achieve superior estimator performance. Unlike Fourier or time-frequency based approaches, DCFT incorporates the underlying chirp signal model parameters in formulating the transform [1] -[4]. In this work a CS formulation exploits the parametric DCFT basis for fast recovery to achieve highly accurate parameter estimation results in polynomial time using Orthogonal Matching Pursuit (OMP). The performance of the proposed algorithm has been compared with existing methods via simulations.