Title :
Mathematical properties of a semi-classical signal analysis method: Noisy signal case
Author :
Da-Yan Liu ; Laleg-Kirati, Taous-Meriem
Author_Institution :
Math. & Comput. Sci. & Eng. Div., King Abdullah Univ. of Sci. & Technol. (KAUST), Thuwal, Saudi Arabia
Abstract :
Recently, a new signal analysis method based on a semi-classical approach has been proposed [1]. The main idea in this method is to interpret a signal as a potential of a Schrodinger operator and then to use the discrete spectrum of this operator to analyze the signal. In this paper, we are interested in a mathematical analysis of this method in discrete case considering noisy signals.
Keywords :
mathematical analysis; signal processing; Schrodinger operator; discrete spectrum; mathematical analysis; mathematical properties; noisy signal case; semi-classical approach; semiclassical signal analysis method;
Conference_Titel :
Systems and Computer Science (ICSCS), 2012 1st International Conference on
Conference_Location :
Lille
Print_ISBN :
978-1-4673-0673-7
Electronic_ISBN :
978-1-4673-0672-0
DOI :
10.1109/IConSCS.2012.6502462