A Unit Quaternion-based Spherical Trigonometry and
a New Two-carrier Phase quadrature Quaternion Modulation System
A new Hyperspherical trigonometry based on Quaternion's Algebra is introduced.
Spatial curves on the surface of the unit-quaternion hypersphere are described in the
parametric form. A draft of a new Continuous Quaternion Modulation System is presented,
in which two modulation signals are used to drive paths in the normalized 4D-hypersphere.
The outline of a PLL-based demodulation is also sketched.