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quatmod

Calculate modulus of quaternion

Description

example

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

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

Examples

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Determine the modulus of q = [1 0 0 0].

mod = quatmod([1 0 0 0])
mod = 1

Input Arguments

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Quaternion, specified in a m-by-4 matrix of real numbers containing m quaternions.

Example: [1 0 0 0]

Data Types: double

Output Arguments

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Moduli, returned as a column vector of m elements.

Algorithms

The quaternion has the form of

q=q0+iq1+jq2+kq3.

The quaternion modulus has the form of

|q|=q02+q12+q22+q32.

References

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

Extended Capabilities

Version History

Introduced in R2006b