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A Very Short Introduction to Blind Source Separation

A Very Short Introduction to Blind How You Will Definitively Enjoy Differently a Cocktail PartyMatthieu PuigtFoundation for Research and Technology HellasInstitute of Computer 12 / May 3, 2011M. PuigtA very Short Introduction to BSSA pril/May 20111 Let s talk about linear systemsAll of you know how to solve this kind of systems:{2 s1+3 s2=53 s1 2 s2=1(1)If we resp. defineA,s, andxthe matrix and the vectors:A=[233 2],s= [s1,s2]T, andx= [5,1]TEq. (1) beginsx=A sand the solution reads:s=A 1 x= [1,1]THow can we solve this kind of problem???This problem is calledBlind Source PuigtA very Short Introduction to BSSA pril/May 20112 Let s talk about linear systemsAll of you know how to solve this kind of systems:{? s1+? s2=5? s1+? s2=1(1)If we resp. defineA,s, andxthe matrix and the vectors:A=[? ?? ?],s= [s1,s2]T, andx= [5,1]TEq. (1) beginsx=A sand the solution reads:s=A 1 x=?How can we solve this kind of problem?}}

A Very Short Introduction to Blind Source Separation a.k.a. How You Will Definitively Enjoy Differently a Cocktail Party Matthieu Puigt Foundation for Research and Technology – Hellas

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