ctranspose, '

Complex conjugate transpose of quaternion array

Since R2023b

Syntax

quatTransposed = quat'

Description

quatTransposed = quat' returns the complex conjugate transpose of the quaternion, quat.

Examples

Vector Complex Conjugate Transpose

Create a vector of quaternions and compute its complex conjugate transpose.

quat = quaternion(randn(4,4))

quat = 4×1 quaternion array
      0.53767 +  0.31877i +   3.5784j +   0.7254k
       1.8339 -   1.3077i +   2.7694j - 0.063055k
      -2.2588 -  0.43359i -   1.3499j +  0.71474k
      0.86217 +  0.34262i +   3.0349j -  0.20497k

quatTransposed = quat'

quatTransposed = 1×4 quaternion array
      0.53767 -  0.31877i -   3.5784j -   0.7254k       1.8339 +   1.3077i -   2.7694j + 0.063055k      -2.2588 +  0.43359i +   1.3499j -  0.71474k      0.86217 -  0.34262i -   3.0349j +  0.20497k

Matrix Complex Conjugate Transpose

Create a matrix of quaternions and compute its complex conjugate transpose.

quat = [quaternion(randn(2,4)),quaternion(randn(2,4))]

quat = 2×2 quaternion array
      0.53767 -   2.2588i +  0.31877j -  0.43359k       3.5784 -   1.3499i +   0.7254j +  0.71474k
       1.8339 +  0.86217i -   1.3077j +  0.34262k       2.7694 +   3.0349i - 0.063055j -  0.20497k

quatTransposed = quat'

quatTransposed = 2×2 quaternion array
      0.53767 +   2.2588i -  0.31877j +  0.43359k       1.8339 -  0.86217i +   1.3077j -  0.34262k
       3.5784 +   1.3499i -   0.7254j -  0.71474k       2.7694 -   3.0349i + 0.063055j +  0.20497k

Input Arguments

quat — Quaternion to transpose

quaternion object | vector of quaternion objects | matrix of quaternion objects

Quaternion to transpose, specified as a quaternion object or a vector or matrix of quaternion objects. The complex conjugate transpose is defined for dimensionality up to 2.

Output Arguments

quatTransposed — Conjugate transposed quaternion

quaternion object | vector of quaternion objects | matrix of quaternion objects

Conjugate transposed quaternion, returned as a quaternion object or a vector or matrix of quaternion objects. The size of quatTransposed is N-by-M, where the size of quat is M-by-N.

Extended Capabilities

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

Version History

Introduced in R2023b