An Iterative Parameters Estimation Method for Hyperbolic Frequency Modulated Signals with Colored Noise

Abstract

This paper presents an iterative method for estimating the starting frequency and period slope of hyperbolic frequency modulated (HFM) signals with underwater acoustic platform colored noise. The method involves, firstly, whitening of the colored noise and, secondly, instantaneous frequency (IF) estimation of HFM signals based on the peak of short-time Fourier transform (STFT) and taking reciprocal of the estimated IF to get the zero crossing interval (ZCI). Parameters estimation of HFM signals is then achieved by using iteratively reweighted least squares (IRLS) linear fitting method to fit the ZCI. The main contributions of our work are threefold: (1) A simple and effective method is proposed to whiten the underwater acoustic platform colored noise; (2) A complex nonlinear problem is transformed into a linear one by the proposed parameters estimation method; (3) The proposed method is applicable for the practical engineering applications.

A Block Method Using the Chirp Rate Estimation for NLFM Radar Pulse Reconstruction

“…The synthesis methods, as well as the estimation of NLFM signal parameters, are developed and discussed. The issue is known both in radars [27,28,29] and sonars [30,31]. Unfortunately, most of these methods require certain assumptions, such as the phase being described by the P -th order polynomial.…”