%KF_LHOOD Kalman Filter measurement likelihood % % Syntax: % LH = KF_LHOOD(X,P,Y,H,R) % % In: % X - Nx1 state mean % P - NxN state covariance % Y - Dx1 measurement vector. % H - Measurement matrix. % R - Measurement noise covariance. % % Out: % LH - Likelihood of measurement. % % Description: % Calculate likelihood of measurement in Kalman filter. % If and X and P define the parameters of predictive % distribution (e.g. from KF_PREDICT) % % p(x[k] | y[1:k-1]) = N(x[k] | m-[k], P-[k]) % % then this likelihood is the probability of measurement % in innovation distribution: % % p(y[k] | y[1:k-1]) = N(y[k] | IM, IS) % % See also: % KF_PREDICT, KF_UPDATE % History: % 20.11.2002 The first official version. % % Copyright (C) 2002 Simo Särkkä % % $Id: kf_lhood.m 111 2007-09-04 12:09:23Z ssarkka $ % % This software is distributed under the GNU General Public % Licence (version 2 or later); please refer to the file % Licence.txt, included with the software, for details. function LH = kf_lhood(m,P,y,H,R) % % Check which arguments are there % if nargin < 5 error('Too few arguments'); end IM = H*m; IS = (H*P*H'+R); LH = gauss_pdf(y,IM,IS);