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Mathematics and Telecommunications – aspects from an operator’s perspective Michael Walker

Mathematics and Telecommunications – aspects from an operator’s perspective Michael Walker President of the IMA Vodafone Professor Telecommunications, Royal Holloway, University of London, and Visiting Professor University of Surrey HoDoMS Meeting 2010, Birmingham, 15th April 2010.

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Mathematics and Telecommunications – aspects from an operator’s perspective Michael Walker

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  1. Mathematics and Telecommunications – aspects from an operator’s perspective Michael Walker President of the IMA Vodafone Professor Telecommunications, Royal Holloway, University of London, and Visiting Professor University of Surrey HoDoMS Meeting 2010, Birmingham, 15th April 2010 Birmingham,15th April 2010

  2. Service Enabling Access Contents • IMA news • Telecoms and Maths Users’ needs Customer propositions Terminal Connectivity Spectrum and regulation Birmingham,15th April 2010

  3. IMA and NUMS IMA 96% in favour of merger with LMS Council accepts LMS democratic decision Council continues to embrace the vision set out in the NUMS consultative report University Liaison Peter Rowlett peter.rowlett@ima.org.uk £400 grants available for any university maths society http://www.ima.org.uk/student/index.html IMA / Greenwich Undergraduate conference 6 February 2010, with thanks to Tony Mann and Noel Anne Bradshaw Free eStudent membership for 2011 IMA News (1) Birmingham,15th April 2010

  4. CMath Teach Launched December 2009 Maths Careers website mathscareers.org.uk launched December 2009 greatly improved resource for students themes - I love maths; environment; health and society; business and money; entertainment; science and engineering; sport 11-14,14-16,16-19, undergraduates, graduates, adults, teachers Essential Modern Mathematics Research – Case Studies To show to politicians and scientists the great benefit of current and recent mathematics research Nigel Peake to co-ordinate Two versions: politicians and scientists Call for topics and experts Working with EPSRC IMA News (2) Birmingham,15th April 2010

  5. Seminal papers of Shannon A mathematical theory of communications, Bell Syst Tech J 27, 1948 Communication theory of secrecy systems, Bell Syst Tech J 28, 1949 Compression coding Error correcting codes geometry, groups and combinatorics Cipher systems symmetric cryptography and information theory public key cryptography and number theory and complexity theory IEEE Transactions on Information Theory Service Enabling Access Maths and telecoms – a rich history Users’ needs Customer propositions Connectivity Spectrum and regulation Birmingham,15th April 2010

  6. Mobile communications Birmingham,15th April 2010

  7. The Internet information, entertainment, publishing, communications and social interaction PersianBlog.Com Birmingham,15th April 2010

  8. Convergence of telecoms and the web Yesterday Vertical services Tomorrow Multi-service platforms Services Services Content Content Services Environment Fixed Data Net Fixed Telephony Mobile WLAN Intelligent Edge Media Gateways IP Multi-Services network Access Access Access Transport, Switching & Access Networks Birmingham,15th April 2010

  9. Sharing resources radio frequency spectrum management Interference management maximising capacity and coverage of radio access network diversity coding and MIMO: quaternions and Cayley numbers Designing and managing networks for IP data traffic Securing the cloud How can mathematics help? Don’t expect well formulated mathematical problems Service Enabling Access Problems of networks Users’ needs Customer propositions Connectivity Spectrum and regulation Birmingham,15th April 2010

  10. Propagation characteristics – 3G extension bands @ 2.6 GHz and digital dividend UHF @ 800Mhz 3G extension band UHF Birmingham,15th April 2010

  11. Economics of spectrum Birmingham,15th April 2010

  12. Allocation by auction Gradual move to lighter regulation – may permit change of use may be traded Bid B Bid min(C-E) Spectrum auctions • Usage defined by regulators • Allocation by “Beauty Contest” • Barrier to new entrants • multi-round, multi-object simultaneous auctions • designed to increase competition as well as achieve maximum prices • combinatorial auctions • bid strategies – and what is the best outcome Birmingham,15th April 2010

  13. Relaying - fundamental work by Kumar on ad-hoc and sensor networks distributed MIMO mathematics of MIMO elaborated by Calderbank and others but not yet for distributed MIMO Terminal jointly detected by 3 base stations Backhaul infrastructure Between sites Coverage and capacity improvement Birmingham,15th April 2010

  14. Designing IP data networks Birmingham,15th April 2010

  15. The chaotic nature of IP traffic • optimisation of data rates • nature of traffic • type of device • optimisation of routing • early breakout • edge caching • excessive usage • offload • multi-dimensional optimisation Birmingham,15th April 2010

  16. The reason why these problems are important for operators Traffic Diverging expectations for traffic and revenue growth Revenue Costs Voice Data Time Birmingham,15th April 2010

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