Quaternion Signal

Quaternion signals represent data using quaternion numbers, extending complex numbers to four dimensions, offering advantages in handling multi-channel data like color images and 3D rotations. Current research focuses on developing quaternion-based algorithms for signal processing tasks, including image reconstruction and pose estimation, often employing techniques like quaternion nuclear norm minimization and the HR-calculus for optimization and adaptive learning. This approach shows promise in improving efficiency and accuracy in various applications, from robotics and computer vision to speech emotion recognition, by leveraging the inherent structure of quaternion algebra to better capture relationships within multi-dimensional data.

Papers