School of Electronic, Electrical and Systems Engineering

This project is focusing upon exploiting a new family of polynomial matrix decompositions within multi-input multi-output (MIMO) wireless communication systems. Polynomial matrix eigenvalue, QR, and singular value decompositions are being considered for application within point-to-point and distributed MIMO links. Multi-user resource allocation is also under consideration in the context of game theory, and extensions to cognitive radio is being studied.

Publications:

• Davies, M.; Lambotharan, S.; McWhirter, J., "Polynomial Matrix SVD for MIMO Beamforming," Mathematics in Signal Processing, 2006 7th International Conference on, 18-20 Dec. 2006.
• Foster, J.; McWhirter, J.; Chambers, J., "Limiting the Order of Polynomial Matrices Within the SBR2 Algorithm," Mathematics in Signal Processing, 2006 7th International Conference on, 18-20 Dec. 2006.
• Davies, M.; Lambotharan, S.; McWhirter, J., "Broadband MIMO Beamforming using Spatial-Temporal Filters and Polynomial Matrix Decomposition," Digital Signal Processing, 2007 15th International Conference on , vol., no., pp.579-582, 1-4 July 2007.
• Foster, J.; McWhirter, J.; Chambers, J., "An Algorithm for Computing the QR Decomposition of a Polynomial Matrix," Digital Signal Processing, 2007 15th International Conference on , vol., no., pp.71-74, 1-4 July 2007.
• McWhirter, J.G.; Baxter, P.D.; Cooper, T.; Redif, S.; Foster, J., "An EVD Algorithm for Para-Hermitian Polynomial Matrices," Signal Processing, IEEE Transactions on , vol.55, no.5, pp.2158-2169, May 2007.
• Foster, J.; McWhirter, J.; Chambers, J., "A Polynomial Matrix QR Decomposition with Application to MIMO Channel Equalisation," Signals, Systems and Computers, 2007. ACSSC 2007. Conference Record of the Forty-First Asilomar Conference on , vol., no., pp.1379-1383, 4-7 Nov. 2007.
• Davies, M.; Lambotharan, S.; Chambers, J.; McWhirter, J., "Broadband MIMO Beamforming for Frequency Selective Channels using the Sequential Best Rotation Algorithm," Vehicular Technology Conference, 2008. VTC Spring 2008. IEEE , vol., no., pp.1147-1151, 11-14 May 2008.
• Foster, J., Algorithms and Techniques for Polynomial Matrix Decompositions, PhD Thesis, Cardiff University, 2008
• Davies, M.; Lambotharan, S.; Foster, J.; Chambers, J.; McWhirter, J., “Polynomial Matrix QR Decomposition and Iterative Decoding of Frequency Selective MIMO Channels,” presented at IEEE WCNC, Budapest, April 2009.
• Davies, M.; Lambotharan, S.; Foster, J.; Chambers, J.; McWhirter, J. “A Polynomial QR Decomposition Based Turbo Equalization Technique for Frequency Selective MIMO Channels,” presented at IEEE VTC Spring, Barcelona, April 2009.
• Foster, J.; McWhirter, J.; Chambers, J., "A Novel Algorithm For Calculating the QR Decomposition of a Polynomial Matrix", presented at ICASSP 2009, Taipei, April 2009.
• Foster, J. A.; McWhirter, J. G; Chambers, J. A., A Novel Algorithm for Calculating the Singular Value Decomposition of a Polynomial Matrix, 17th European Signal Processing Conference (EUSIPCO), Glasgow, Scotland, August 24-28, 2009
• Anandkumar, A. J. G.; Lambotharan, S.; Chambers, J. A., "A game-theoretic approach to transmitter covariance matrix design for broadband MIMO Gaussian interference channels," presented at IEEE/SP 15th Workshop on Statistical Signal Processing, 2009. SSP '09., Cardiff, UK, Aug. 31 2009-Sept. 3 2009
• Foster, J. A.; McWhirter, J. G.; Davies, M. R.; Chambers, J. A., An Algorithm for Calculating the QR and Singular Value Decompositions of Polynomial Matrices, .; IEEE Transactions on Signal Processing: Accepted for future publication
• Anandkumar, A. J. G.; Lambotharan, S.; Chambers, J. A., "Application of distributed {MIMO} waterfilling algorithm for broadband channels and its performance in the presence of {CSI} errors", to be presented at  First UK-India International Workshop on Cognitive Wireless Systems, New Delhi, India, Dec 2009