Open AccessFurther investigation on time‐domain maximum likelihood estimation of chirp signal parameters
Author(s) -
Deng Zhenmiao,
Ye Linmei,
Fu Maozhong,
Lin Shijun,
Zhang Yixiong
Publication year - 2013
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
eISSN - 1751-9683
pISSN - 1751-9675
DOI - 10.1049/iet-spr.2011.0422
Subject(s) - chirp , estimator , algorithm , signal (programming language) , maximum likelihood , computer science , phase (matter) , time domain , signal to noise ratio (imaging) , estimation theory , phase unwrapping , amplitude , upper and lower bounds , domain (mathematical analysis) , cramér–rao bound , mathematics , statistics , telecommunications , computer vision , laser , physics , optics , programming language , mathematical analysis , chemistry , interferometry , organic chemistry , quantum mechanics , astronomy
The time‐domain maximum likelihood estimation of chirp signal parameters is investigated in this study. Three amplitude weighted phase‐based estimators and two phase‐unwrapping algorithms, that is, phase prediction and unwrapping algorithm (PP‐UA) and differenced‐phase prediction and unwrapping algorithm (DPP‐UA) were proposed. The DPP‐UA and PP‐UA have their merits and drawbacks. The authors combine the merits of these two methods and propose a new phase‐unwrapping algorithm, which outperforms PP‐UA and DPP‐UA under low signal‐to‐noise ratio (SNR) conditions. The authors’ further study on the optimal number of initial data sample show that it is SNR‐related and can be determined according to the ‘3 σ ’ rule and the Cramer–Rao lower bound.