Coding for the Gaussian Channel with Intermittent Feedback

Lars Palzer

ETH Zürich

Abstract:

The asymptotic behavior of the best achievable error probability over the memoryless Gaussian channel has received much attention over the years both in the absence and in the presence of feedback. While much of the earlier work on feedback has focused on ideal feedback, there has recently been growing interest in imperfect feedback.

We consider the scenario of an average-power-limited Gaussian channel with intermittent feedback, i.e., where each channel output is fed back with some given probability ρ and the receiver is cognizant of which outputs were fed back. For the transmission of a single bit, we present a full characterization of the asymptotic decay of the probability of error in the blocklength and show that it is double-exponential. Furthermore, we identify a critical transmission rate below which a double-exponential decay is possible and above which it is not.

The talk is based on joint work with Christoph Bunte and Amos Lapidoth.

Biography:

Lars Palzer received the B.Sc. degree in electrical engineering from TU Braunschweig, Germany, in 2012. In 2010, he spent a semester at the University of Nottingham, UK. From September 2012, he has been a graduate student at ETH Zurich, Switzerland, where he is currently working on his master’s thesis at the Signal and Information Processing Laboratory (ISI). His research interests include information theory and coding theory.