quatnorm

Calculate norm of quaternion

Syntax

norm = quatnorm(q)

Description

norm= quatnorm(q)calculates the normnormfor a given quaternion,q. For more information on the quaternion and quaternion norm forms, seeAlgorithms.

Aerospace Toolboxuses quaternions that are defined using the scalar-first convention.

Examples

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Determine Norm of Quaternion

Open Live Script

Determine the norm ofq = [.5 -.5 .5 0].

norm=quatnorm([.5 -.5 .5 0])

norm = 0.7500

Input Arguments

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`q`—quaternion matrix
m-by-4 matrix of real numbers

Quaternion matrix, specified in anm-by-4 matrix of real numbers containingmquaternions.

Example:[1 0 0 0]

Data Types:double

Output Arguments

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`norm`— Norms
column vector

Norms, returned as a column vector ofmnorms.

Algorithms

The quaternion has the form of

$q = q_{0} + i q_{1} + j q_{2} + k q_{3} .$

The quaternion norm has the form of

$n o r m (q) = q_{0}^{2} + q_{1}^{2} + q_{2}^{2} + q_{3}^{2} .$

References

[1] Stevens, Brian L. and Frank L. Lewis.Aircraft Control and Simulation. 2nd ed. Wiley–Interscience, 2003.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Usage notes and limitations:

Code generation for this function requires the Aerospace Blockset™ software.

版本历史

Introduced in R2006b

quatnorm

Syntax

Description

Examples

Determine Norm of Quaternion

Input Arguments

q—quaternion matrixm-by-4 matrix of real numbers

Output Arguments

norm— Normscolumn vector

Algorithms

References

Extended Capabilities

C/C++ Code GenerationGenerate C and C++ code using MATLAB® Coder™.

版本历史

See Also

`q`—quaternion matrix
m-by-4 matrix of real numbers

`norm`— Norms
column vector

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.