Parameterized model based Short-time chirp component decomposition

Abstract

As a specific case of chirp component, the short-time chirp component (STCC) only continues a duration in a reference interval with a birth and death. A STCC usually possesses of important information directly related to kinematic or structural characteristics of a target. In this paper, a novel method is developed to decompose a multi-component short-time chirp signal into a series of STCCs. The decomposition method is mainly based on a parameterized mathematical model, which is used to represent the STCC, and a peak tracking approach, which is adopted to extract the instantaneous frequencies (IFs), and corresponding births and deaths for all the STCCs. With the model and the extracted IFs, the decomposition can be conducted by solving a linear system of equations. The effectiveness of the proposed method is demonstrated by two simulated examples and a marine biologic sound.