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1. (WO2014207588) METHOD FOR REDUCING NOISE IN DATA-SETS OF HARMONIC SIGNALS

Pub. No.:    WO/2014/207588    International Application No.:    PCT/IB2014/061784
Publication Date: Thu Jan 01 00:59:59 CET 2015 International Filing Date: Thu May 29 01:59:59 CEST 2014
IPC: G06F 17/16
G06F 17/17
Applicants: UNIVERSITE DE STRASBOURG
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
INSTITUT NATIONAL DE LA SANTE ET DE LA RECHERCHE MEDICALE
Inventors: DELSUC, Marc-André
CHIRON, Lionel
Title: METHOD FOR REDUCING NOISE IN DATA-SETS OF HARMONIC SIGNALS
Abstract:
Method for reducing the noise in data-sets of harmonic signals comprising data vectors X of length L, each data vector X comprising P harmonic components, said method comprising the steps of: - computing (100) a Hankel matrix H by applying the equation (Hij) = (Xi+ j-1 ); - estimating (200) a matrix Y by estimating the product of the Hankel matrix H by a matrix Ω, said matrix Ω comprising a set of K random unit vectors; - computing (300) an orthogonal matrix Q by performing a QR decomposition on the matrix Y and then computing the conjugate and transpose matrix Q* of the orthogonal matrix Q; - estimating (400) a K-ranked approximation Ĥ of the Hankel matrix H; - estimating (500) reduced noise data vectors X from the estimated K-ranked approximation Ĥ of the Hankel matrix H.