Maximum Likelihood Estimation in Mixed Integer Linear Models

被引：0

作者：

Tucker, David ^{[1
]}

Zhao, Shen ^{[2
]}

Potter, Lee C. ^{[1
]}

机构：

[1] Ohio State Univ, Dept Elect & Comp Engn, Columbus, OH 43210 USA

[2] Stanford Univ, Dept Med, Div Cardiovasc Med, Stanford, CA 94304 USA

来源：

IEEE SIGNAL PROCESSING LETTERS | 2023年 / 30卷

关键词：

Lattices; Maximum likelihood estimation; Maximum likelihood decoding; Direction-of-arrival estimation; Task analysis; Planar arrays; Noise measurement; Phase unwrapping; sphere decoding; lattices; Hermite normal form; Chinese remainder theorem; PHASE; REDUCTION; PERFORMANCE; ALGORITHMS; FREQUENCY; AMBIGUITY; SEARCH; DESIGN;

D O I：

10.1109/LSP.2023.3324833

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We consider the maximum likelihood (ML) parameter estimation problem for mixed integer linear models with arbitrary noise covariance. This problem appears in applications such as single frequency estimation, phase contrast imaging, and direction of arrival (DoA) estimation. Parameter estimates are found by solving a closest lattice point problem, which requires a lattice basis. In this letter, we present a lattice basis construction for ML parameter estimation and conclude with simulated results from DoA estimation and phase contrast imaging.

引用

页码：1557 / 1561

页数：5

共 52 条

[1] Selecting Wavelengths for Least Squares Range Estimation [J].

Akhlaq, Assad ;

McKilliam, Robby ;

Subramanian, Ramanan ;

Pollok, Andre .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2016, 64 (20) :5205-5216

[2] Basis Construction for Range Estimation by Phase Unwrapping [J].

Akhlaq, Assad ;

McKilliam, R. G. ;

Subramanian, R. .

IEEE SIGNAL PROCESSING LETTERS, 2015, 22 (11) :2152-2156

[3] Threshold region performance of maximum likelihood direction of arrival estimators [J].

Athley, F .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2005, 53 (04) :1359-1373

[4] Optimization of element positions for direction finding with sparse arrays [J].

Athley, F .

2001 IEEE WORKSHOP ON STATISTICAL SIGNAL PROCESSING PROCEEDINGS, 2001, :516-519

[5] ON LOVASZ LATTICE REDUCTION AND THE NEAREST LATTICE POINT PROBLEM [J].

BABAI, L .

COMBINATORICA, 1986, 6 (01) :1-13

[6] Phase Unwrapping with Multiple Wavelengths on the Flat Torus [J].

Benedetti, Arrigo .

2020 54TH ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS, AND COMPUTERS, 2020, :1301-1304

[7]

Bremner M. R., 2011, Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications, V1st

[8] Optimal Dual-VENC Unwrapping in Phase-Contrast MRI [J].

Carrillo, Hugo ;

Osses, Axel ;

Uribe, Sergio ;

Bertoglio, Cristobal .

IEEE TRANSACTIONS ON MEDICAL IMAGING, 2019, 38 (05) :1263-1270

[9]

Chang X.-W., 2006, MILES: MATLAB package for solving mixed integer least squares problems

[10] MILES: MATLAB package for solving mixed integer LEast squares problems [J].

Chang, Xiao-Wen ;

Zhou, Tianyang .

GPS SOLUTIONS, 2007, 11 (04) :289-294

← 1 2 3 4 5 6 →