ThePeter TWW CHAMPION 37709 Posts user info edit post |
http://www.mathworks.com/help/techdoc/ref/cumtrapz.html
Quote : | "cumtrapz - Cumulative trapezoidal numerical integration Syntax
Z = cumtrapz(Y) Z = cumtrapz(X,Y) Z = cumtrapz(X,Y,dim) or cumtrapz(Y,dim) Description
Z = cumtrapz(Y) computes an approximation of the cumulative integral of Y via the trapezoidal method with unit spacing. To compute the integral with other than unit spacing, multiply Z by the spacing increment. Input Y can be complex.
For vectors, cumtrapz(Y) is a vector containing the cumulative integral of Y.
For matrices, cumtrapz(Y) is a matrix the same size as Y with the cumulative integral over each column.
For multidimensional arrays, cumtrapz(Y) works across the first nonsingleton dimension.
Z = cumtrapz(X,Y) computes the cumulative integral of Y with respect to X using trapezoidal integration. X and Y must be vectors of the same length, or X must be a column vector and Y an array whose first nonsingleton dimension is length(X). cumtrapz operates across this dimension. Inputs X and Y can be complex.
If X is a column vector and Y an array whose first nonsingleton dimension is length(X), cumtrapz(X,Y) operates across this dimension.
Z = cumtrapz(X,Y,dim) or cumtrapz(Y,dim) integrates across the dimension of Y specified by scalar dim. The length of X must be the same as size(Y,dim). Examples Example 1
Y = [0 1 2; 3 4 5];
cumtrapz(Y,1) ans = 0 0 0 1.5000 2.5000 3.5000
cumtrapz(Y,2) ans = 0 0.5000 2.0000 0 3.5000 8.0000
Example 2
This example uses two complex inputs:
z = exp(1i*pi*(0:100)/100);
ct = cumtrapz(z,1./z); ct(end) ans = 0.0000 + 3.1411i " |
2/29/2012 8:32:33 AM
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