Stochastic Construction of Error Correcting Codes with Application to Digital Communications. Modern society would be unrecognisable without error correcting codes; mobile telephones, storage devices such as DVD's and high speed data communications simply would not exist. Yet most theoretical results on error correcting codes are asymptotic in nature and ignore computational complexity issues, that is, they are not representative of many real life situations. By building on recent breakthrough ....Stochastic Construction of Error Correcting Codes with Application to Digital Communications. Modern society would be unrecognisable without error correcting codes; mobile telephones, storage devices such as DVD's and high speed data communications simply would not exist. Yet most theoretical results on error correcting codes are asymptotic in nature and ignore computational complexity issues, that is, they are not representative of many real life situations. By building on recent breakthroughs in statistics and stochastic optimisation, this project will develop algorithms for designing optimised error correcting codes subject to realistic finite data length and computational complexity constraints. Successful outcomes will lead to enhanced data communications and storage, greatly benefiting industry and consumers alike.
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Mathematical Foundations of Distributed Radar. Conventional military threats to Australia are large or fast moving objects such as ships and aircraft and conventional radar systems are designed to handle such threats. Recent global political shifts have changed the threats to include objects that are small and slowly moving, such as people, small vehicles and boats. Advances in radar hardware make feasible small, low-powered, devices with inherently reduced performance in comparison to deployed ....Mathematical Foundations of Distributed Radar. Conventional military threats to Australia are large or fast moving objects such as ships and aircraft and conventional radar systems are designed to handle such threats. Recent global political shifts have changed the threats to include objects that are small and slowly moving, such as people, small vehicles and boats. Advances in radar hardware make feasible small, low-powered, devices with inherently reduced performance in comparison to deployed systems. Methods for information integration over a dispersed system of such small devices, design of suitable waveform suites and clever local signal processing algorithms will be developed to achieve the performance improvements the hardware offers, to handle the new threats.Read moreRead less
Towards an Information Theory of Radar. Radar is a key sensing technology for the defence of Australia. It is also used in several civilian applications. Recent advances in engineering and science have led to significantly increased inherent capabilities for radar hardware. Nonetheless, radars in service and planned are unable to counter many current threats. To a large extent these new capabilities have yet to be fully exploited, and in large part this is because of the lack of an information ....Towards an Information Theory of Radar. Radar is a key sensing technology for the defence of Australia. It is also used in several civilian applications. Recent advances in engineering and science have led to significantly increased inherent capabilities for radar hardware. Nonetheless, radars in service and planned are unable to counter many current threats. To a large extent these new capabilities have yet to be fully exploited, and in large part this is because of the lack of an information theory for radar that corresponds to the highly successful theory of this kind for telecommunications. Our work, though pitched at fundamental ideas in the theory of radar, will lead to the production of improved radar capability that will permit improved threat detection and tracking.Read moreRead less