Ph.D. Electrical Engineering
Gonzalo Vazquez-Vilar research interests lie in the fields of information theory, communications
theory and signal processing. Currently he is working in the field of Shannon theory with focus
on finite-length information theory and statistical hypothesis testing.
This section describes some of his contribution to the topics of cognitive radio, main topic of his doctoral dissertation, and finite-length information theory, his current research focus.
Finite-Length Information Theory
Shannon's Information Theory establishes the fundamental limits of information processing systems. A concept that is hidden in the mathematical proofs of most of the Information Theory literature, is that in order to achieve the fundamental limits sequences of infinite duration are required. In our work we study how the system performance is affected when considering finite block lengths. The existing trade-off among block length, error probability and gap to channel capacity is characterized by means of novel upper and lower bounds under different settings. Connections to statistical hypothesis testing are established.
Interference Management and Multiantenna Detection
First, using game theoretical tools, we propose a framework for interference management in which certain interaction is allowed between primary and secondary systems under dynamic spectrum access. Secondly, we address the problem of primary user monitoring using novel detection schemes exploiting multiple antennas, wideband processing, and available knowledge on the primary user transmissions. Using the generalized likelihood ratio test (GLRT) for different signal models we study the asymptotic optimality of these and several detectors in the literature.