Detrend

Remove linear trend from vectors

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Libraries:
DSP System Toolbox / Statistics

Description

The Detrend block removes a linear trend from the length-M input vector, u, by subtracting the straight line that best fits the data in the least squares sense.

The least squares line, û = ax + b, is the line with parameters a and b that minimizes the quantity

$${\displaystyle \sum _{i=1}^M{(u_i-{\widehat{u}}_i)}^2}$$

for M evenly-spaced values of x, where u_i is the ith element in the input vector. The output, y = u-û, is always an M-by-1 column vector.

Ports

Input

Input — Input data

vector

Input data, specified as a vector. The block removes the straight line that best fits the data in the least squares sense.

Data Types: single | double

Output

Output — Output data

column vector

Output data, returned as a column vector. The block returns the remaining data after removing the straight line that best fits the data in the least squares sense.

Data Types: single | double

Block Characteristics

Data Types	double | single
Multidimensional Signals	No
Variable-Size Signals	No

Extended Capabilities

C/C++ Code Generation

Generate C and C++ code using Simulink® Coder™.

Generated code relies on the memcpy or memset function (string.h) under certain conditions.

Version History

Introduced before R2006a