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On gradient calculation in quaternion adaptive filtering

Jahanchahi, C, Took, CC and Mandic, DP (2012) On gradient calculation in quaternion adaptive filtering ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. pp. 3773-3776.

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A novel way to calculate the gradient of real functions of quaternion variables, typical cost functions in quaternion signal processing, is proposed. This is achieved by revisiting quaternion involutions and by simplifying the existing ℍℝ derivatives. This has allowed us to express the class of quaternion least mean square (QLMS) algorithms in a more compact form while keeping the same generic form of LMS. Simulations in the prediction setting support the approach. © 2012 IEEE.

Item Type: Article
Authors :
Jahanchahi, C
Took, CC
Mandic, DP
Date : 23 October 2012
DOI : 10.1109/ICASSP.2012.6288738
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:37
Last Modified : 17 May 2017 12:37

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