Apr 15, 2006 #1 leomecma Full Member level 5 Joined Jun 17, 2005 Messages 244 Helped 14 Reputation 28 Reaction score 1 Trophy points 1,298 Location Brasil Activity points 3,933 bidimensional gaussian Anyone know the bidimensional gaussian equation (function of x mean, x variance, correlation x-y, y mean, y variance), I search it unsuccessful. thks leomecma
bidimensional gaussian Anyone know the bidimensional gaussian equation (function of x mean, x variance, correlation x-y, y mean, y variance), I search it unsuccessful. thks leomecma
Apr 15, 2006 #2 C claudiocamera Full Member level 4 Joined Aug 19, 2005 Messages 224 Helped 27 Reputation 54 Reaction score 6 Trophy points 1,298 Location Salvador-BA-Brazil Activity points 4,282 bidimensional gaussian distribution The papoulis book which is available in this forum deals a lot with this function. You can dowload it and get more information, anyway the function is: f(x,y) = A * exp [ B*C] where, A = 1/ 2πσxσy√(1-r^2) B= - 1/ 2(1-r^2) C= [(x-ηx)/σx]^2 - 2r[(x-ηx)(y-ηy)/σxσy] + [(y-ηy)/σy]^2 ηx= mean of x ηy=mean of y σx= Standard deviation of x σy= Standard deviation of y r = Correlation coeficient = σxy/σxσy σxy= Covariance of X and Y
bidimensional gaussian distribution The papoulis book which is available in this forum deals a lot with this function. You can dowload it and get more information, anyway the function is: f(x,y) = A * exp [ B*C] where, A = 1/ 2πσxσy√(1-r^2) B= - 1/ 2(1-r^2) C= [(x-ηx)/σx]^2 - 2r[(x-ηx)(y-ηy)/σxσy] + [(y-ηy)/σy]^2 ηx= mean of x ηy=mean of y σx= Standard deviation of x σy= Standard deviation of y r = Correlation coeficient = σxy/σxσy σxy= Covariance of X and Y