| EPSRC Reference: |
GR/M74795/01 |
| Title: |
CHAOS, COMMUNICATION AND RANDOMNESS |
| Principal Investigator: |
Lawrance, Professor AJ |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
School of Mathematics |
| Organisation: |
University of Birmingham |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 January 2000 |
Ends: |
31 March 2003 |
Value (£): |
124,598
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| EPSRC Research Topic Classifications: |
| Statistics & Appl. Probability |
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| EPSRC Industrial Sector Classifications: |
| Aerospace, Defence and Marine |
Communications |
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| Panel History: |
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Summary on Grant Application Form |
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The proposal is concerned with the statistical aspects of chaos which arises in the newly developing chaos-based communications area, where chaotic sequences replace wave forms as message carriers. An initial theme addresses the practical requirements that the sequences should be continuous or discrete and that their statistical properties should be known theoretically, and sometimes effectively independent. To this end, forms of independence will be developed, linking them to equi-distributivity and conditions found in recent Japanese work. A perceived connection between independence and discreteness will be investigated, and exploited for binary chaos in digital communications. Perron-Frobenius treatments of dependence in deterministic sequences will be developed. A further theme is synchronous chaos, initiated in chaos-communications, but little known outside, and needing theoretical enhancement for better use. Made famous by Chua's and Lorenz's circuits, two chaotic sequences can be synchronised provided their conditional Lyapunov exponents are negative, not positive. This leads to another theme of the proposal to develop a family of dynamical time series and models based on the high quality dynamical noise from the earlier themes. Present chaotic models are insufficiently flexible for applications from statistical perspectives, having hardly entered the 'arima' era. Each theme will involve a statistical or engineering collaboration.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.bham.ac.uk |