Jiang, M.D., Liu, W. and Li, Y. (2014) A General Quaternion-Valued Gradient Operator and Its Applications to Computational Fluid Dynamics and Adaptive Beamforming. In: 19th International Conference on Digital Signal Processing (DSP). International Conference on Digital Signal Processing (DSP), 20-23 Aug 2014, Hong Kong. IEEE
Abstract
Quaternion-valued signal processing has received increasing attention recently. One key operation involved in derivation of all kinds of adaptive algorithms is the gradient operator. Although there have been some derivations of this operator in literature with different level of details, it is still not fully clear how this operator can be derived in the most general case and how it can be applied to various signal processing problems. In this work, we will give a general derivation of the quaternion-valued gradient operator and then apply it to two different areas. One is to combine with the classic computational fluid dynamics (CFD) approach in wind profile prediction and the other one is to apply the result to the adaptive beamforming problem for vector sensor arrays.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Electronic and Electrical Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 02 Mar 2016 14:12 |
Last Modified: | 04 Apr 2018 23:26 |
Published Version: | https://dx.doi.org/10.1109/ICDSP.2014.6900781 |
Status: | Published |
Publisher: | IEEE |
Refereed: | Yes |
Identification Number: | 10.1109/ICDSP.2014.6900781 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:94844 |