Optimum Multi-rate Filter Bank Design for Speech Enhancement and Communication Systems. Multi-rate signal processing is gaining more and more importance in signal processing applications such as echo cancellation, microphone arrays, speech enhancement and equalisation. This project is aimed at obtaining high performance and high efficiency multi-rate processing designs by developing appropriate problem formulations based on solid mathematical foundations so that powerful optimisation techniques ....Optimum Multi-rate Filter Bank Design for Speech Enhancement and Communication Systems. Multi-rate signal processing is gaining more and more importance in signal processing applications such as echo cancellation, microphone arrays, speech enhancement and equalisation. This project is aimed at obtaining high performance and high efficiency multi-rate processing designs by developing appropriate problem formulations based on solid mathematical foundations so that powerful optimisation techniques can be applied. The developed multi-rate systems will result in low complexity and low power hardware implementations without significant compromise in performance in each application. Size and cost sensitive of communication devices such as personal data assistants, mobile telephones, hands-free devices, and laptops will benefit greatly from the outcome of the project.Read moreRead less
A Computational Study of Nonconvex and Nonlinear Semi-infinite Optimisation Problems in Signal Processing. The operation of filtering is an important part of most modern communication engineering systems. Many important problems, which arise naturally from communications engineering applications, can be formulated as nonconvex optimization problems and nonlinear semi-infinite and/or semi-definite optimization problems. New optimization theory, in combination with novel computationally efficient ....A Computational Study of Nonconvex and Nonlinear Semi-infinite Optimisation Problems in Signal Processing. The operation of filtering is an important part of most modern communication engineering systems. Many important problems, which arise naturally from communications engineering applications, can be formulated as nonconvex optimization problems and nonlinear semi-infinite and/or semi-definite optimization problems. New optimization theory, in combination with novel computationally efficient solution methods, and efficient hardware implementation will be developed. The outcomes will enhance Australia's reputation in this cutting edge research and facilitate opportunity for international collaboration as well as commercial opportunity. The project will also provide an excellent environment for the training of junior researchers in the area.Read moreRead less
Robust Reformulation Methods. Many decision problems in engineering, business and economics are modeled as nonlinear continuous optimization problems. Often these are made difficult by the existence of constraints. In this project, we reformulate such problems as constrained nonsmooth equations, rather than optimization problems, and develop generalized Newton and quasi-Newton methods for solving them. The expected outcomes of this project include a systematic theory of reformulation methods, ....Robust Reformulation Methods. Many decision problems in engineering, business and economics are modeled as nonlinear continuous optimization problems. Often these are made difficult by the existence of constraints. In this project, we reformulate such problems as constrained nonsmooth equations, rather than optimization problems, and develop generalized Newton and quasi-Newton methods for solving them. The expected outcomes of this project include a systematic theory of reformulation methods, and robust and efficient algorithms for solving some important nonlinear continuous optimization problems. There is high potential for applications in engineering, business and finance.Read moreRead less
Stochastic Geometry for Multi-sensor Data Fusion System. The aim of this project is to develop efficient algorithms for tracking and sensor management in a multi-sensor multi-target environment. Finite random set theory provides a natural way of representing a random number of (random) object states, an issue that has been largely ignored in the tracking literature until recently. Although a satisfactory foundation for multiple object filtering has been provided by random set theory, in this ear ....Stochastic Geometry for Multi-sensor Data Fusion System. The aim of this project is to develop efficient algorithms for tracking and sensor management in a multi-sensor multi-target environment. Finite random set theory provides a natural way of representing a random number of (random) object states, an issue that has been largely ignored in the tracking literature until recently. Although a satisfactory foundation for multiple object filtering has been provided by random set theory, in this early stage no algorithm capable of tracking many targets has emerged from this framework. We are confident that efficient algorithms can be developed by exploiting the insights and mathematical tools of stochastic geometryRead moreRead less
Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will en ....Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will enhance Australia's reputation in this cutting edge research, and contribute to achieving optimal performance of high commercial and environmental value applications. It will also facilitate international collaboration, and provide an excellent opportunity for research training.Read moreRead less
Design and fabrication of custom titanium implant scaffolds produced by selective laser melting. The development of implants that can be tailored to match individual patient requirements will result in increased functionality and longevity of the device, decreased pain and suffering and a reduction in hospitalisation time and medical costs. This is especially true where massive bone loss has occurred. Research in this area is vital to underpin Australian technological progress in a field of ris ....Design and fabrication of custom titanium implant scaffolds produced by selective laser melting. The development of implants that can be tailored to match individual patient requirements will result in increased functionality and longevity of the device, decreased pain and suffering and a reduction in hospitalisation time and medical costs. This is especially true where massive bone loss has occurred. Research in this area is vital to underpin Australian technological progress in a field of rising economic and social importance, especially given Australia's aging population. The project will strengthen expertise in materials science and mathematical optimization. Further, the coupling of these fields will allow Australian scientists and technologists to exploit the full potential of solid freeform fabrication in new applications.Read moreRead less
HYBRID METHODS FOR SOLVING LARGE-SCALE OPTIMISATION PROBLEMS. Mathematical modelling and optimisation plays a crucial role in the advancement of modern business, science and technology. A significant benefit of this project is the development of a range of powerful computational tools for improving the productivity of Australian industry, including: agriculture; communications; defence; manufacturing; mining and petroleum; transport and logistics. These tools will be built upon advances in the f ....HYBRID METHODS FOR SOLVING LARGE-SCALE OPTIMISATION PROBLEMS. Mathematical modelling and optimisation plays a crucial role in the advancement of modern business, science and technology. A significant benefit of this project is the development of a range of powerful computational tools for improving the productivity of Australian industry, including: agriculture; communications; defence; manufacturing; mining and petroleum; transport and logistics. These tools will be built upon advances in the fundamental theory developed by the research team. The resulting high quality publications and associated algorithms will greatly enhance Australia's international scientific reputation and provide Australian industry with new cutting-edge optimisation technology.Read moreRead less
Robust methods for hard optimization problems. Highly advanced industrial and information-based societies depend on complex systems that underpin their infrastructure and technologies. Mathematical modelling and optimization techniques are most frequently deployed for the development and refinement of these systems. This project focuses on an important class of difficult optimization problems that arise in many applications. A significant benefit of this project is the development of a number of ....Robust methods for hard optimization problems. Highly advanced industrial and information-based societies depend on complex systems that underpin their infrastructure and technologies. Mathematical modelling and optimization techniques are most frequently deployed for the development and refinement of these systems. This project focuses on an important class of difficult optimization problems that arise in many applications. A significant benefit of this project is the development of a number of robust methods for these hard optimization problems. These methods will be built upon advances in the fundamental theory developed by the research team. The resulting high quality publications and associated algorithms will greatly enhance Australia's international scientific reputation.Read moreRead less
Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication i ....Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication industries. In addition to efficient solution methods
for these problems the project will produce computational tools for
a wide range of related network routing problems.Read moreRead less
Advanced Capture, Analysis and Compression of Facial Images. Facial image processing is an area of research that holds an important key to future advances in intelligent human-to-computer and human-to-human systems. This project will investigate and develop superior approaches to image capturing of human faces for subsequent analysis and compression. It aims to develop innovative techniques to detect, extract and recognise faces, as well as more efficient ways to compress facial image data. This ....Advanced Capture, Analysis and Compression of Facial Images. Facial image processing is an area of research that holds an important key to future advances in intelligent human-to-computer and human-to-human systems. This project will investigate and develop superior approaches to image capturing of human faces for subsequent analysis and compression. It aims to develop innovative techniques to detect, extract and recognise faces, as well as more efficient ways to compress facial image data. This project will provide advanced Australian technology with applications in some of the world's fastest growing markets, including crowd surveillance, computer user interface, videoconferencing, and multimedia systems.Read moreRead less