A Unit Quaternion-based Spherical Trigonometry and a New Two-carrier Phase-quadrature Quaternion Modulation System
H.M. de Oliveira, D.R. de Oliveira, R.M. Campello de Souza

DOI: 10.14209/sbrt.2011.1
Evento: XXIX Simpósio Brasileiro de Telecomunicações (SBrT2011)
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.