Semi-classical signal analysis

被引：29

作者：

Laleg-Kirati, Taous-Meriem ^{[1
]}

Crepeau, Emmanuelle ^{[2
]}

Sorine, Michel ^{[3
]}

机构：

[1] King Abduallah Univ Sci & Technol, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal, Saudi Arabia

[2] Versailles St Quentin Yvelines Univ, F-78035 Versailles, France

[3] INRIA, Ctr Paris, F-78153 Le Chesnay, France

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2013年 / 25卷 / 01期

关键词：

Signal analysis; Schrodinger operator; Semi-classical; Arterial blood pressure; KORTEWEG-DEVRIES EQUATION; SMALL DISPERSION LIMIT; FLOW;

D O I：

10.1007/s00498-012-0091-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study introduces a new signal analysis method, based on a semi-classical approach. The main idea in this method is to interpret a pulse-shaped signal as a potential of a Schrodinger operator and then to use the discrete spectrum of this operator for the analysis of the signal. We present some numerical examples and the first results obtained with this method on the analysis of arterial blood pressure waveforms.

引用

页码：37 / 61

页数：25

共 50 条

[1] Semi-classical signal analysis
Taous-Meriem Laleg-Kirati
Emmanuelle Crépeau
Michel Sorine
Mathematics of Control, Signals, and Systems, 2013, 25 : 37 - 61
[2] On semi-classical questions related to signal analysis
Helffer, B.
Laleg-Kirati, T. M.
ASYMPTOTIC ANALYSIS, 2011, 75 (3-4) : 125 - 144
[3] Mathematical properties of a semi-classical signal analysis method: noisy signal case
Liu, Da-Yan
Laleg-Kirati, Taous-Meriem
2012 1st International Conference on Systems and Computer Science (ICSCS), 2012,
[4] Analytic geometry and semi-classical analysis
Garay M.D.
Proceedings of the Steklov Institute of Mathematics, 2007, 259 (1) : 35 - 59
[5] SEMI-CLASSICAL AND QUANTUM TREATMENTS OF SIGNAL PLUS NOISE
TROUP, GJ
NUOVO CIMENTO B, 1966, 42 (01): : 79 - &
[6] Semi-classical analysis in large dimension
Helffer, B
XIITH INTERNATIONAL CONGRESS OF MATHEMATICAL PHYSICS (ICMP '97), 1999, : 267 - 272
[7] Quantum-based interval selection of the Semi-classical Signal Analysis method
Piliouras, Evangelos
Laleg-Kirati, Taous-Meriem
28TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO 2020), 2021, : 2294 - 2298
[8] SEMI-CLASSICAL THEORY OF PREDISSOCIATION - UNIFORM SEMI-CLASSICAL WAVEFUNCTION APPROACH
EU, BC
ZARITSKY, N
JOURNAL OF CHEMICAL PHYSICS, 1978, 69 (04): : 1553 - 1568
[9] SEMI-CLASSICAL ANALYSIS FOR THE SCHRODINGER OPERATOR AND APPLICATIONS
HELFFER, B
LECTURE NOTES IN MATHEMATICS, 1988, 1336 : 1 - &
[10] Toward a detection approach of surge precursors using a semi-classical signal analysis method
Michaël Deligant
Michaël Pereira
Taous-Meriem Laleg-Kirati
Farid Bakir
Sofiane Khelladi
The European Physical Journal Plus, 137

← 1 2 3 4 5 →