Algorithm Extension of Cubic Phase Function for Estimating Quadratic FM Signal

In this paper, an extended algorithm for parameter estimation of quadratic FM signal is derived by exploring the time diversity in the cubic phase (CP) function. The performance of the proposed algorithm is analyzed in terms of estimate bias and variance, and compared with other methods. Although the proposed algorithm employs a fourth-order nonlinearity which results in higher threshold SNR, it provides a number of advantages, such as low mean-square error (MSE) for the estimates at high SNR and simple extension for multicomponent signals. Extension to cubic FM signals is also discussed. The theoretical analysis is verified by the simulation results.