Chromatic polynomials, random graphs, and error-correcting codes: a unified approach to graph colouring problems. Through a unified approach involving cutting-edge results on chromatic polynomials, random graphs, matroids, and error-correcting codes, this project will establish the foundations for a rigorous mathematical framework for attempting to provide a short, transparent and illuminating solution to the Four Colour Problem. The project will support developments in computer science and sta ....Chromatic polynomials, random graphs, and error-correcting codes: a unified approach to graph colouring problems. Through a unified approach involving cutting-edge results on chromatic polynomials, random graphs, matroids, and error-correcting codes, this project will establish the foundations for a rigorous mathematical framework for attempting to provide a short, transparent and illuminating solution to the Four Colour Problem. The project will support developments in computer science and statistical mechanics and is likely to have flow-on effects in real-world disciplines such as network communication. This project will also strengthen Australia's international presence in discrete mathematics and will further strengthen ties between Australian and international mathematicians.Read moreRead less
Space-Time Block Codes using Orthogonal, Amicable, and General Designs. Space-time coding for multiple transmit and multiple receive antennas is the enabling technology for future wireless communication systems. Multiple antennas provide independent transmission paths resulting in an increased channel capacity without requiring costly additional bandwidth. Space-time block codes lead to the simplest receiver structures and thus to the most economical solutions. The currently known codes are base ....Space-Time Block Codes using Orthogonal, Amicable, and General Designs. Space-time coding for multiple transmit and multiple receive antennas is the enabling technology for future wireless communication systems. Multiple antennas provide independent transmission paths resulting in an increased channel capacity without requiring costly additional bandwidth. Space-time block codes lead to the simplest receiver structures and thus to the most economical solutions. The currently known codes are based on the work of one of the CIs, but so far only a small part of that work has been utilised. We aim to fully exploit the potential of this theory and move the performance of wireless systems towards their theoretical limits.Read moreRead less
Diversity Improvements in Ultra-Wide Band Communications. The proposed project will facilitate development of new frontier technologies that will most likely form the basis for future optimal usage of bandwidth. It will strengthen Australia's role in the advancement of communication technology for the future. Through involvement in the project, the PhD, Masters, and Honours graduates will acquire knowledge and the skills in widely applicable advanced mathematical theory and methods for the analy ....Diversity Improvements in Ultra-Wide Band Communications. The proposed project will facilitate development of new frontier technologies that will most likely form the basis for future optimal usage of bandwidth. It will strengthen Australia's role in the advancement of communication technology for the future. Through involvement in the project, the PhD, Masters, and Honours graduates will acquire knowledge and the skills in widely applicable advanced mathematical theory and methods for the analysis and design of communication systems. The project will also serve to build new international links and extend existing ones through active involvement of overseas researchers.Read moreRead less