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NICTA Canberra Node Advanced Course: Continuous Wireless Communications
NICTA Canberra Node Advanced Course:
Continuous Wireless Communications
Title of the course: Continuous Wireless Communications
Course director: Dr. Leif Hanlen (ANU adjunct)
Formal Description of course: This course exposes students to the appli-
cation of operators and Hilbert Space techniques to communication systems.
The abstract operator viewpoint is used to address fundamental questions
such as dimensionality, and optimal multiple-input multiple-output wireless
channel congurations. The course covers numerical modelling of communi-
cation channels, and concludes with an introduction to information theory
from the viewpoint of operator channels.
Informal Description of course: Multiple-input multiple-output (MIMO)
wireless systems are an active research topic around the world. Yet MIMO
wireless systems may be considered as a specic example of a much broader
class of communication systems. Famous results for MIMO wireless systems
are presented and used to motivate an abstract view of communication sys-
tems. This broader class allows us to address fundamental limits for commu-
nication between locations. This course will expose students to a new and
exciting research area developing here in RSISE. For exceptional students
there are possibilities of publications arising as a result of their course-work.
Curriculum: Proposed course outline is as follows:
0. Functional analysis as applied to Communication Theory preliminary
mathematics
Separability, operators, compact operators, operator equations.
Formalism taken from various sources, particularly E. Kreysig
Introductory Functional Analysis with Applications and R. A.
1 Continuous Wireless Communications
2
Kennedy Hilbert Spaces with Applications RSISE graduate course
notes.
1. Point-wise MIMO Modelling approaches
Discrete points the standard multi-antenna approach, as given
in I.E. Telatar, Capacity of Multi-antenna Gaussian Channels,
European Transactions on Telecommunications, 1995, vol-
ume 10, number 6, pp 585595.
Beamforming, simple channel models, problems associated with
this approach.
2. Concept: Communication systems are a continuous parameter sys-
tem, standard discrete channel models form a sub-class of communica-
tion problems.
Communication between domains as an operator
basis expansions, matrix form for communication operator, point-
wise MIMO as a particular basis choice
3. Modelling techniques
Dimensionality of channels, communication channel decomposi-
tion, numerical estimation channel coecients
4. Information theory for communication operators
Models for noise, capacity of operator channels, relating this back
to the discrete point model. Material drawn freely from R. Gal-
lager, Information Theory and Reliable Communication, particu-
larly chap. 8
Presenter: Dr. Leif Hanlen (NICTA, ANU Adjunct)
Dates and Locations: Nominally,
start date
, daily, 10am-12pm in lecture
room RSISE building, for two weeks.
Completion date of course:
start date
+3weeks
Notication date of course:
start date
+8weeks
Continuous Wireless Communications Continuous Wireless Communications
3
Workload: 20 hours of lectures, 40 hours of assignments reading and prepa-
ration for lectures. No formal examination.
Assumed knowledge of course: Basic information theory, undergradu-
ate linear algebra (bases, matrix theory, singular value decomposition) eg.
chapter 0 of Horn and Johnson Matrix Analysis, some introductory functional
analysis will be helpful although not required
Prerequisites, entry requirements: Undergraduate engineering degree,
undergraduate communications theory (particularly Fourier Series)
Assessment procedures: 4 assignments one per module.
Assignment options for the course: Four assignments will be handed
out during the course, a pass will be dependent upon satisfactory completion
of the assignments.
Examiners: Prof. Rodney Kennedy (RSISE, ANU) and Dr. Leif Hanlen
(NICTA, ANU Adjunct)
Fees: Nil
Continuous Wireless Communications