A unifying framework for the analysis of quaternion valued adaptive filters

@article{Took2011AUF,
  title={A unifying framework for the analysis of quaternion valued adaptive filters},
  author={Clive Cheong Took and Cyrus Jahanchahi and Danilo P. Mandic},
  journal={2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)},
  year={2011},
  pages={1771-1774}
}
The recently proposed ℍℝ-calculus has enabled rigorous derivation of quaternion-valued adaptive filtering algorithms, and has also introduced several equivalent forms of the quaternion least mean square (QLMS). This work aims to address the uniqueness of the solutions to the stochastic gradient optimisation problems, and to provide a unified framework for the derivation and analysis of quaternion least mean square algorithms. In doing so, we assess and compare the properties of the adaptive… CONTINUE READING

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Quaternionvalued short term forecasting of three-dimensional wind and atmpospheric parameters

  • C. Cheong Took, G. Strbac, K. Aihara, D. P. Mandic
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1 Excerpt

Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models

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