Results on the Discrete Memoryless Broadcast
of Information Engineering
Chinese University of Hong Kong
Feb 2, 2009
4:30p.m. - 5:30p.m.
Rm. 121, Ho Sin Hang Engineering Building, CUHK
this talk I will present three new results that were
obtained last year in broadcast channel.
1 answers the following question: What is the capacity
region for the 2-receiver broadcast channel when one
of the channels is the binary symmetric channel and
the other is a binary erasure channel.
2 (joint with my student Zizhou "Vincent" Wang) concerns
a study of the inner and outer bounds for a class
of 3-receiver broadcast channels with 2-degraded messages.
We will produce an example where the bounds differ
and use a "new" argument to show the tightness of
the inner bound.
3 establishes an information theoretic inequality
for the binary skew-symmetric broadcast channel. This
produces the first example where the best known inner
and outer bounds differ for the 2-receiver broadcast
channel. The way the inequality is proved (and the
only known proof of this) is very non-standard.
ordering of the results is based on the techniques
involved: from the traditional to the novel.