Complex valued and quaterion valued 2D and 3D wind modelling and prediction

Most of the papers on complex valued and quaternion valued adaptive filtering have wind prediction as a case study. See below for our recent contributions in this field.

Legend: MATLAB code, PDF files, Supplements.

You can download from here some Wind Data used in some of the simulations in the work below. These are 2D (complex) data, for three different wind regimes of 'low', 'medium', and 'high' dynamics.

  1. C. Cheong-Took, G. Strbac, K. Aihara, and D. P. Mandic"Quaternion-valued short term forecasting of three-dimensional wind and atmpospheric parameters," Renewable Energy, vol. 36, pp. 1754-1760,2011. [pdf]
  2. C. Cheong-Took, D. P. Mandic, and K. Aihara, "Quaternion-valued short term forecasting of wind profile," in Proceedings of IJCNN, pp. 3412-3417,2010. [pdf]
  3. D. P. Mandic, S. Javidi, S. L. Goh, A. Kuh and K. Aihara, "Complex Valued Prediction of Wind Profile Using Augmented Complex Statistics," Renewable Energy, vol. 34, no. 1, pp. 196-201, 2009. [pdf]
  4. S. L. Goh, M. Chen, D. H. Popovic, K. Aihara, D. Obradovic and D. P. Mandic, "Complex-Valued Forecasting of Wind Profile," Renewable Energy, vol. 31, pp. 1733-1750, 2006. [pdf]
  5. Y. Hirata, D. P. Mandic, H. Suzuki, and K. Aihara, "Wind Direction Modelling Using Multiple Observation Points, ," Philosophical Transactions of the Royal Society A, vol. 366, pp. 591-607, 2008. [pdf]
  6. C. Cheong-Took and D. P. Mandic, "The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes," IEEE Transactions on Signal Processing, vol. 57, no. 4, pp. 1316-1327, 2009. [pdf]
  7. C. Cheong-Took and D. P. Mandic, "A Quaternion Widely Linear Adaptive Filter ," IEEE Transactions on Signal Processing, vol. 58, no. 8, pp. 4427-4431, 2010. [pdf]
  8. A. Kuh and D. P. Mandic, "Applications of Complex Augmented Kernels to Wind Profile Prediction," Proceedings of ICASSP 2009, pp. 3581-3584, 2009. [pdf]
  9. C. Ujang-Bukhari, C. Cheong-Took, and D. P. Mandic, "Split-Quaternion Nonlinear Adaptive Filtering," Neural Networks, vol. 23, no. 3, pp. 426-434, 2010. [pdf]
  10. S. L. Goh and D. P. Mandic, "A Complex-Valued RTRL Algorithm for Recurrent Neural Networks," Neural Computation, vol. 16, no. 12, pp. 2699-2713, 2004 [pdf]
  11. S. L. Goh and D. P. Mandic, "Nonlinear Adaptive Prediction of Complex-Valued Signals by Complex-Valued PRNN," IEEE Transactions on Signal Processing, vol. 53, no. 5, pp. 1827-1836, 2005. [pdf]
  12. S. L. Goh and D. P. Mandic, "An Augmented Extended Kalman Filter Algorithm for Complex-Valued Recurrent Neural Networks," Neural Computation, vol. 19, no. 4, pp. 1039-1055, 2007. [pdf]
  13. D. P. Mandic, S. L. Goh, and K. Aihara, "Sequential Data Fusion via Vector Spaces: Fusion of Heterogeneous Data in the Complex Domain," International Journal of VLSI Signal Processing Systems, vol. 48, no. 1, pp. 99-108, 2007. [pdf]