Chirp-like model and its parameters estimation
Rhythm Grover, Debasis Kundu, Amit Mitra · 2018 International Conference on Computing, Power and Communication Technologies (GUCON) · 2018
We propose a chirp-like signal model as an alternative to a chirp model and a generalisation of the sinusoidal model, which is a fundamental model in statistical signal processing literature. It is observed that the proposed model can be arbitrarily close to the chirp model. The propounded model is similar to a chirp model in the sense that here the frequency changes linearly with time. However, the parameter estimation of a chirp-like model is simpler compared to a chirp model. In this paper, we consider two types of estimation methods, the least squares estimation and the sequential least squares estimation procedures and study the asymptotic properties of the obtained estimators. These asymptotic results are corroborated through simulation studies and analysis of two speech signal data sets.