During the recent years, signal processing research started investigating hypercomplex numbers and their usefulness in the modeling of systems. Together, digital signal processing groups started developing multidimensional algorithms in the hypercomplex domains. At present, many proposals include quaternion, octonion and Lie algebra solutions. However, a canonical definition of discrete-time hypercircuit has not been written, yet. This paper has the aim to strengthen the concept of discrete-time hypercircuit theory. In addition, we intend to give a definition of quaternion convolution and Z-Transform in an established form. Besides this, filter design examples and simulations from the adaptive filtering context are supplied.

Quaternion digital signal processing: a hypercomplex approach to information processing / Ortolani, Francesca; Uncini, Aurelio. - ELETTRONICO. - (2016), pp. 1-7. (Intervento presentato al convegno 2016 International Siberian Conference on Control and Communications, SIBCON 2016 tenutosi a Moscow; Russian Federation nel 2016) [10.1109/SIBCON.2016.7491831].

Quaternion digital signal processing: a hypercomplex approach to information processing

ORTOLANI, FRANCESCA;UNCINI, Aurelio
2016

Abstract

During the recent years, signal processing research started investigating hypercomplex numbers and their usefulness in the modeling of systems. Together, digital signal processing groups started developing multidimensional algorithms in the hypercomplex domains. At present, many proposals include quaternion, octonion and Lie algebra solutions. However, a canonical definition of discrete-time hypercircuit has not been written, yet. This paper has the aim to strengthen the concept of discrete-time hypercircuit theory. In addition, we intend to give a definition of quaternion convolution and Z-Transform in an established form. Besides this, filter design examples and simulations from the adaptive filtering context are supplied.
2016
2016 International Siberian Conference on Control and Communications, SIBCON 2016
discrete-time hypercircuits; frequency domain; hypercomplex; quaternion adaptive filters; quaternion convolution; quaternion Z-transform; quaternions; signal processing; control and systems engineering; electrical and electronic engineering; modeling and simulation; computer networks and communications
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Quaternion digital signal processing: a hypercomplex approach to information processing / Ortolani, Francesca; Uncini, Aurelio. - ELETTRONICO. - (2016), pp. 1-7. (Intervento presentato al convegno 2016 International Siberian Conference on Control and Communications, SIBCON 2016 tenutosi a Moscow; Russian Federation nel 2016) [10.1109/SIBCON.2016.7491831].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1016715
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