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1. (WO2014207588) METHOD FOR REDUCING NOISE IN DATASETS OF HARMONIC SIGNALS 


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, MarcAndré CHIRON, Lionel 
Title:  METHOD FOR REDUCING NOISE IN DATASETS OF HARMONIC SIGNALS 
Abstract: 
Method for reducing the noise in datasets 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+ j1 );  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 Kranked approximation Ĥ of the Hankel matrix H;  estimating (500) reduced noise data vectors X from the estimated Kranked approximation Ĥ of the Hankel matrix H.
