Removes the mean or linear trend from a data vector.

Syntax

y = Detrend(x, string)

Arguments

Name

Description

x

A data vector or matrix.  If a matrix, then Detrend is applied to each column vector.

String

(optional)

A string set to ‘constant’ if the mean is to be removed.  It is omitted if the linear trend is to be removed.

Outputs

Name

Description

y

A data vector or matrix with the same dimensions as x that contains the modified data.

Example

Remove the linear trend from the given data set.

Syntax

y = Detrend([5 5.33 6.02 7.07 8.48 10.25 12.38])

Result

y = 0.9 0 -0.54 -0.72 -0.54 0 0.9

Comments

The trend line is the least squares' best fit line.