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Details of Grant 

EPSRC Reference: GR/R61451/01
Title: Iterated Function Systems and their Inverses
Principal Investigator: Broomhead, Professor D
Other Investigators:
Glendinning, Professor P
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: University of Manchester, The
Scheme: Standard Research (Pre-FEC)
Starts: 16 November 2001 Ends: 15 November 2004 Value (£): 180,556
EPSRC Research Topic Classifications:
Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:
Communications No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
We will consider classes of IFS which arise as models in communication theory. Our approach will deal with the effect of nonlinearity and dimension of the classical (Bernoulli convolutions) model. The inverse map of the classical case also has interesting properties which we hope to characterise, concentrating on the relationship between the slope and the size of the gap of these maps. We hope that some of the results obtained will lead us to interesting new design features for channel responses.
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Organisation Website: http://www.man.ac.uk