Advances in hypercomplex adaptive filtering for 3D audio processing

3-dimensional (3D) audio is the new frontier in audio technology and it is quickly taking place in many applications, from cinema to virtual reality, audio surveillance and video games. The large amount of data requires fast and compact solutions for signal processing. With this aim in view, research is moving towards the exploration of hypercomplex algebras in order to find a non-redundant and compact form for the representation of 3D audio sound fields without the loss of information. Quaternion sound fields are currently under investigation and this paper presents some recent results in adaptive signal processing for quaternion 3D audio.