www.gusucode.com > matlab 案例源码 matlab代码程序 > matlab/IntegrateMatrixwithNonuniformSpacingExample.m
%% Integrate Matrix with Nonuniform Spacing %% % Create a vector of time values, |X|. Also create a matrix, |Y|, % containing values evaluated at the irregular intervals in |X|. X = [1 2.5 7 10]'; Y = [5.2 4.8 4.9 5.1; 7.7 7.0 6.5 6.8; 9.6 10.5 10.5 9.0; 13.2 14.5 13.8 15.2] %% % The columns of |Y| represent velocity data, taken at the times contained % in |X|, for several different trials. %% % Use |trapz| to integrate each column independently and find the total % distance traveled in each trial. Since the function values are not % evaluated at constant intervals, specify |X| to indicate the spacing % between the data points. Q = trapz(X,Y) %% % The result is a row vector of integration values, one for each column % in |Y|. By default, |trapz| integrates along the first dimension of |Y| % whose size does not equal 1. %% % Alternatively, you can integrate the rows of a matrix by specifying |dim % = 2|. % % In this case, use |trapz| on |Y'|, which contains the velocity data in % the rows. dim = 2; Q1 = trapz(X,Y',dim) %% % The result is a column vector of integration values, one for each row % in |Y'|.