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My current research is in the field of information theory, exploring the fundamental limits of data transmision and compression systems. Opportunities for research exist in a wide range of problems as illustrated by some of our previous contributions to information theory:
a) Connections between information theory and estimation theory
b) Discrete denoising
c) Universal compression and estimation of information measures
d) Erasure channels
e) Multiantenna capacity
f) Communication in the wideband regime
g) Random Matrices and information theory
h) Capacity of CDMA and other multiple-access channels
i) Multiuser detection
j) Timing channels and the capacity of the single-server queues
k) Feedback in communication
l) Data compression with error correcting codes
m) Generation of random bits from stochastic processes
n) Rate-distortion function of Poisson processes and other continuous-time Markov processes.
o) The maximum randomness required to simulate the input to a random system.
p) General formulas for mimum compression rate, channel capacity, and rate-distortion functions and the information spectrum method.
q) Joint source-channel coding and the validity of the separation principle.
r) The empirical distribution of capacity-achieving codes.
s) Information theoretic bounds for the finite blocklength regime
The collection of tutorial articles Information Theory: Fifty Years of Discovery, published by IEEE Press in 1999, and the journal Foundations and Trends in Communications and Information Theory are useful references for graduate students searching for research topics.
For more detailed information on my research interests and publications, please visit the web site http://www.princeton.edu/~verdu.include "../footer.inc"; ?>