Finite-Difference Algorithm for Polynomial Phase Signal Parameter Estimation

Nathan Madsen; Siyang Cao

doi:10.1109/TAES.2019.2910981

Finite-Difference Algorithm for Polynomial Phase Signal Parameter Estimation

Nathan Madsen, Siyang Cao

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

A new algorithm, the finite-difference algorithm, is proposed for single-component polynomial phase signal parameter estimation. The proposed algorithm takes advantage of the framework of the quasi-maximum-likelihood (QML) estimator but estimates the finite difference of the polynomial instead of the derivative. The algorithm is computationally simpler and has comparable performance to the QML algorithm. A phase centering step is proposed to increase the detectable range of polynomial phase parameters as an alternative to phase unwrapping.

Original language	English (US)
Article number	8691509
Pages (from-to)	57-66
Number of pages	10
Journal	IEEE Transactions on Aerospace and Electronic Systems
Volume	56
Issue number	1
DOIs	https://doi.org/10.1109/TAES.2019.2910981
State	Published - Feb 2020

Keywords

Finite difference
parameter estimation
phase estimation
phase unwrapping
polynomial phase signals (PPSs)

ASJC Scopus subject areas

Aerospace Engineering
Electrical and Electronic Engineering

Access to Document

10.1109/TAES.2019.2910981

Cite this

@article{4aa687a2d9d84571a1eaaab1100bbe97,

title = "Finite-Difference Algorithm for Polynomial Phase Signal Parameter Estimation",

abstract = "A new algorithm, the finite-difference algorithm, is proposed for single-component polynomial phase signal parameter estimation. The proposed algorithm takes advantage of the framework of the quasi-maximum-likelihood (QML) estimator but estimates the finite difference of the polynomial instead of the derivative. The algorithm is computationally simpler and has comparable performance to the QML algorithm. A phase centering step is proposed to increase the detectable range of polynomial phase parameters as an alternative to phase unwrapping.",

keywords = "Finite difference, parameter estimation, phase estimation, phase unwrapping, polynomial phase signals (PPSs)",

author = "Nathan Madsen and Siyang Cao",

note = "Funding Information: This work was supported by Rincon Research Corporation. Publisher Copyright: {\textcopyright} 1965-2011 IEEE.",

year = "2020",

month = feb,

doi = "10.1109/TAES.2019.2910981",

language = "English (US)",

volume = "56",

pages = "57--66",

journal = "IEEE Transactions on Aerospace and Electronic Systems",

issn = "0018-9251",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "1",

}

TY - JOUR

T1 - Finite-Difference Algorithm for Polynomial Phase Signal Parameter Estimation

AU - Madsen, Nathan

AU - Cao, Siyang

PY - 2020/2

Y1 - 2020/2

N2 - A new algorithm, the finite-difference algorithm, is proposed for single-component polynomial phase signal parameter estimation. The proposed algorithm takes advantage of the framework of the quasi-maximum-likelihood (QML) estimator but estimates the finite difference of the polynomial instead of the derivative. The algorithm is computationally simpler and has comparable performance to the QML algorithm. A phase centering step is proposed to increase the detectable range of polynomial phase parameters as an alternative to phase unwrapping.

AB - A new algorithm, the finite-difference algorithm, is proposed for single-component polynomial phase signal parameter estimation. The proposed algorithm takes advantage of the framework of the quasi-maximum-likelihood (QML) estimator but estimates the finite difference of the polynomial instead of the derivative. The algorithm is computationally simpler and has comparable performance to the QML algorithm. A phase centering step is proposed to increase the detectable range of polynomial phase parameters as an alternative to phase unwrapping.

KW - Finite difference

KW - parameter estimation

KW - phase estimation

KW - phase unwrapping

KW - polynomial phase signals (PPSs)

UR - http://www.scopus.com/inward/record.url?scp=85079589849&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85079589849&partnerID=8YFLogxK

U2 - 10.1109/TAES.2019.2910981

DO - 10.1109/TAES.2019.2910981

M3 - Article

AN - SCOPUS:85079589849

SN - 0018-9251

VL - 56

SP - 57

EP - 66

JO - IEEE Transactions on Aerospace and Electronic Systems

JF - IEEE Transactions on Aerospace and Electronic Systems

IS - 1

M1 - 8691509

ER -

Finite-Difference Algorithm for Polynomial Phase Signal Parameter Estimation

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this