quatnorm

Calculate norm of quaternion

Syntax

norm = quatnorm(q)

Description

norm = quatnorm(q) calculates the norm norm for a given quaternion, q. For more information on the quaternion and quaternion norm forms, see Algorithms.

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

example

Examples

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Determine Norm of Quaternion

Open Live Script

Determine the norm of q = [.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 an m-by-4 matrix of real numbers containing m quaternions.

Example: [1 0 0 0]

Data Types: double

Output Arguments

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`norm` — Norms
column vector

Norms, returned as a column vector of m norms.

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.

Version History

Introduced in R2006b

quatnorm

Syntax

Description

Examples

Determine Norm of Quaternion

Input Arguments

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

Output Arguments

norm — Norms column vector

Algorithms

References

Extended Capabilities

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

Version History

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™.