From: cfy30 on 30 May 2010 11:12 Hi, If x and y and orthogonal, is it true that corr(x,y)=0? How can this be proved? cfy30
From: Steve Pope on 30 May 2010 11:31 cfy30 <cfy30(a)n_o_s_p_a_m.yahoo.com> wrote: >If x and y and orthogonal, is it true that corr(x,y)=0? How can this be >proved? Um, by definition? S.
From: Les Cargill on 30 May 2010 11:51 cfy30 wrote: > Hi, > > If x and y and orthogonal, is it true that corr(x,y)=0? How can this be > proved? > > > cfy30 Definitionally: http://www-mobile.ecs.soton.ac.uk/bjc97r/pnseq/node5.html "Orthogonal codes have zero cross-correlation." http://www.thefreedictionary.com/orthogonal .... "b. (of a pair of functions) having a defined product equal to zero" -- Les Cargill
From: cfy30 on 30 May 2010 14:07 If x = cos(omega*t) and y = sin(omega*t). x and y are orthogonal but it seems to me they are correlated because their difference is only 90degree! What is not right? cfy30 >cfy30 wrote: >> Hi, >> >> If x and y and orthogonal, is it true that corr(x,y)=0? How can this be >> proved? >> >> >> cfy30 > >Definitionally: > >http://www-mobile.ecs.soton.ac.uk/bjc97r/pnseq/node5.html > >"Orthogonal codes have zero cross-correlation." > >http://www.thefreedictionary.com/orthogonal >... >"b. (of a pair of functions) having a defined product equal to zero" > >-- >Les Cargill > >
From: Jerry Avins on 30 May 2010 16:45 On 5/30/2010 2:07 PM, cfy30 wrote: > If x = cos(omega*t) and y = sin(omega*t). x and y are orthogonal but it > seems to me they are correlated because their difference is only 90degree! > What is not right? > > > cfy30 > >> cfy30 wrote: >>> Hi, >>> >>> If x and y and orthogonal, is it true that corr(x,y)=0? How can this be >>> proved? >>> >>> >>> cfy30 >> >> Definitionally: >> >> http://www-mobile.ecs.soton.ac.uk/bjc97r/pnseq/node5.html >> >> "Orthogonal codes have zero cross-correlation." >> >> http://www.thefreedictionary.com/orthogonal >> ... >> "b. (of a pair of functions) having a defined product equal to zero" What do you understand the definition of of "correlated" to be? cos(x) = sqrt(1 - sin^2(x)), but they are uncorrelated because T integral(sin(x) * cos(x))dx is zero when T -> infinity or T = k periods. x = 0 k is an integer Jerry -- Engineering is the art of making what you want from things you can get. �����������������������������������������������������������������������
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