Quaternion Norm

Calculate norm of quaternion

Libraries:
Aerospace Blockset / Utilities / Math Operations

Description

The Quaternion Norm block calculates the norm for a given quaternion. Aerospace Blockset™ uses quaternions that are defined using the scalar-first convention. For the equations used for the quaternion and quaternion norm, see Algorithms.

Ports

Input

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q — Quaternion norm
quaternion norm | vector of quaternion norms

Quaternions in the form of [ q ₀ , r ₀ , ..., q ₁ , r ₁ , ... , q ₂ , r ₂ , ... , q ₃ , r ₃ , ...], specified as a quaternion norm or vector of quaternion norms.

Data Types: double

Output

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norm(q) — Quaternion norm
quaternion norm | vector of quaternion norms

Quaternion norm or vector of quaternion norms in the form of [ norm (q), norm (r), ...].

Data Types: double

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., Frank L. Lewis. Aircraft Control and Simulation, Second Edition. Hoboken, NJ: Wiley–Interscience.

Extended Capabilities

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

Version History

Introduced before R2006a