The influence of non-Gaussian noise on the accuracy of parameter estimation

被引：4

作者：

Li, Xue-Lian ^{[1
]}

Li, Jun-Gang ^{[1
]}

Wang, Yuan-Mei ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Phys, Beijing 100081, Peoples R China

来源：

PHYSICS LETTERS A | 2017年 / 381卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Non-Gaussian noise; Quantum Fisher information; Parameter estimation; QUANTUM-ENHANCED METROLOGY; LIMIT; STATES; ENTANGLEMENT; CHANNELS;

D O I：

10.1016/j.physleta.2016.10.050

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the influence of non-Gaussian noise on the accuracy of the parameter estimation. Specially, we estimate the intensity of magnetic field by adopting a spin-1/2 system which is influenced by random telegraph noise and colored noise with 1/f(alpha) spectrum. We find that, for the random telegraph noise case, both weak coupling and strong coupling conditions are suitable for the parameter estimation. For the colored noise case, the accuracy of the parameter estimation decreases with the parameter a firstly and then increases with it. We also give physical explanations for these phenomena. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：216 / 220

页数：5

共 50 条

[31] Variance bounds for parameter estimation in correlated non-Gaussian clutter
Gini, F
Greco, MV
PROCEEDINGS OF THE 1997 IEEE NATIONAL RADAR CONFERENCE, 1997, : 25 - 30
[32] Time delay estimation of Gaussian signal in non-Gaussian spatially correlated noise
Tang, GH
Chen, Q
Liu, GS
PROCEEDINGS OF 2003 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS & SIGNAL PROCESSING, PROCEEDINGS, VOLS 1 AND 2, 2003, : 639 - 642
[33] Robust direction-of-arrival estimation in non-Gaussian noise
Yardimci, Y
Cetin, AE
Cadzow, JA
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (05) : 1443 - 1451
[34] Robust direction-of-arrival estimation in non-Gaussian noise
Bilkent Univ, Ankara, Turkey
IEEE Trans Signal Process, 5 (1443-1451):
[35] Detection and estimation of multiple weak signals in non-Gaussian noise
Nelson, D. J.
FLUCTUATION AND NOISE LETTERS, 2007, 7 (04): : L491 - L499
[36] Drift estimation with non-gaussian noise using Malliavin Calculus
Krein, Christian
ELECTRONIC JOURNAL OF STATISTICS, 2015, 9 (02): : 2976 - 3045
[37] Maximum likelihood time delay estimation in non-Gaussian noise
Schultheiss, PM
Messer, H
Shor, G
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (10) : 2571 - 2575
[38] Maximum likelihood time delay estimation in non-Gaussian noise
Yale Univ, New Haven, United States
IEEE Trans Signal Process, 10 (2571-2575):
[39] Detection and estimation of multiple weak signals in non-Gaussian noise
Nelson, D. J.
NOISE AND FLUCTUATIONS IN PHOTONICS, QUANTUM OPTICS, AND COMMUNICATIONS, 2007, 6603
[40] Optimal Estimation of the Position of Non-Gaussian Impulse Noise in Images
Samoilin, E. A.
OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING, 2009, 45 (03) : 243 - 249

← 1 2 3 4 5 →