Transcript MikeWalker

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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Birmingham,15th April 2010
Contents
• IMA news
Users’ needs
• Telecoms and Maths
Terminal
Customer propositions
Service Enabling
Connectivity
Access
Spectrum and regulation
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IMA News (1)
IMA and NUMS
University Liaison
• IMA 96% in favour of merger with • Peter Rowlett
[email protected]
LMS
• Council accepts LMS democratic • £400 grants available for any
university maths society
decision
– http://www.ima.org.uk/student/index.html
• Council continues to embrace the
• IMA / Greenwich Undergraduate
vision set out in the NUMS
conference
consultative report
– 6 February 2010, with thanks to
Tony Mann and Noel Anne
Bradshaw
• Free eStudent membership for
2011
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IMA News (2)
• CMath Teach
– Launched December 2009
• Maths Careers website
– mathscareers.org.uk
– launched December 2009
– greatly improved resource for students
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• Essential Modern
Mathematics Research –
Case Studies
– To show to politicians and
scientists the great benefit of
current and recent mathematics
research
– themes - I love maths; environment;
health and society; business and
money; entertainment; science and
engineering; sport
– Nigel Peake to co-ordinate
– 11-14,14-16,16-19, undergraduates,
graduates, adults, teachers
– Call for topics and experts
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– Two versions: politicians and
scientists
– Working with EPSRC
Maths and telecoms – a rich history
• 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
Users’ needs
Customer propositions
Service Enabling
– 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
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Connectivity
Access
Spectrum and regulation
Mobile communications
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The Internet
information, entertainment,
publishing, communications
and social interaction
PersianBlog.Com
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Convergence of telecoms and the web
Yesterday
Tomorrow
Vertical services
Multi-service platforms
Services
Content
Content
WLAN
Services
Environment
Fixed
Data Net
Fixed
Telephony
Mobile
Services
IP Multi-Services
network
Access
Access
Access
Transport, Switching & Access Networks
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Problems of networks
• Sharing resources
– radio frequency spectrum management
Users’ needs
• 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
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Customer propositions
Service Enabling
Connectivity
Access
Spectrum and regulation
Propagation characteristics – 3G extension bands @
2.6 GHz and digital dividend UHF @ 800Mhz
3G extension band
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UHF
Economics of spectrum
Total network capacity
100.00%
90.00%
80.00%
70.00%
30 MHz
60.00%
40 MHz
50.00%
50 MHz
40.00%
30.00%
20.00%
0
2
4
6
8
10
Operators
HHI
HHI For European Mobile Industry and India
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0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
Equal share
UK
NL
Germany
Austria
France
Belgium
Spain
Italy
India
0
2
4
6
8
Number of Operators
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Spectrum auctions
 Usage defined by regulators
 Allocation by “Beauty Contest”
 Barrier to new entrants
• Allocation by auction
• Gradual move to lighter regulation –
–may permit change of use
–may be traded
•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
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Coverage and capacity improvement
• Relaying
• distributed MIMO
- fundamental work by Kumar on ad-hoc
and sensor networks
– mathematics of MIMO elaborated by
Calderbank and others
– but not yet for distributed MIMO
Relay
Link
UT
BS
RN#1
RN#1.1
RN#2
RN#2.1
Terminal jointly detected
by 3 base stations
Access
Link
RN#2.2
UT
RN#2.1.1
Multihop Network: Treetopology
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Backhaul infrastructure
Between sites
Designing IP data networks
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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
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The reason why these problems are important for operators
Costs
Traffic
Diverging
expectations
for traffic and
revenue growth
Voice
Revenue
Data
Time
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