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Call for Papers

Special Issue on Hypercomplex Signal Processing


This call is a Special Issue for the Elsevier Journal "Signal processing" on Hypercomplex Signal Processing.
The Submission Deadline is the March 30, 2016.
Traditionally, real- and complex-valued signals and images are the prototypes encountered in the signal processing communities. However, there is a growing number of applications where signals and images have samples living on more exotic algebraic structures. Highly challenging computational issues arise in the development of algorithms devoted to the processing of such signals and images.

In this framework, signals with values on non-commutative algebraic structures are amongst the more challenging ones. Quaternion (and by extension hypercomplex) signal and image processing encompasses many of these challenging areas. Quaternions have attracted a fair amount of attention as they are the natural extension of complex numbers to 3D and 4D models. However, the non-commutativity of the quaternion product raises challenges in extending classical (real and complex) standard signal processing algorithms and analysis tools. The development of quaternion and hypercomplex Fourier transforms has also generated a great number of new results including the extension of the analytic signal for greyscale images, the theory of filtering/analysis for colour images and much more. The hypercomplex signal processing framework has provided new paradigms and encouraged new research directions toward non-commutative signal processing and paved the way to higher-dimensional hypercomplex algorithms.

We would like to invite authors to submit their recent and original research results in the general area of hypercomplex signal and image processing. Authors are encouraged to discuss the topic and style of their proposed papers with the editors in advance to help ensure that the issue as a whole will be coherent and intelligible to the broader signal processing community. Topics in signal processing are welcome which make use of the following, or related, theories and techniques, as are papers which contribute directly to the theory.

Hypercomplex random processes and adaptive signal processing
- Applications of quaternion Fourier transforms
- Colour and greyscale image processing using quaternions
- Filtering and estimation for quaternion-valued signals and images
- Vector-sensors, arrays and quaternion processing
- Applications of properness for complex and hypercomplex signal processing
- Complex signals and random fields analysis using quaternions

Paper Submission
Manuscripts (Please follow Signal Processing publishing format, using the guide for authors) should be submitted via the Electronic Editorial System, Elsevier: and please select SI: HyperSiP when you reach the Article Type step in the submission process.

Important Deadlines
- Submission Deadline: March 30, 2016
- Notification of Acceptance: September 30, 2016
- Publication Date: December 1, 2016

Guest Editorial Board
- Nicolas Le Bihan, CNRS Gipsa-Lab, Grenoble, France.(
- Todd A. Ell, UTC Aerospace Systems, Burnsville, USA. (
- Danilo Mandic, Imperial College, London, UK. (
- Tohru Nitta, AIST, Tsukuba, Japan. (
- Stephen J. Sangwine, University of Essex, Colchester, UK. (

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