Quaternion Norm

Calculate norm of quaternion

  • Library:
  • Aerospace Blockset / Utilities / Math Operations

Description

The Quaternion Norm block calculates the norm for a given quaternion. For the equations used for the quaternion and quaternion norm, see Algorithms.

Ports

Input

expand all

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

expand all

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=q0+iq1+jq2+kq3.

The quaternion norm has the form of

norm(q)=q02+q12+q22+q32

References

[1] Stevens, Brian L., Frank L. Lewis. Aircraft Control and Simulation, Second Edition. Hoboken, NJ: Wiley–Interscience.

Introduced before R2006a