30 citations · 47 across the 8 of their papers we have counts for
9 papers
An Achievable rate region for the user interference channel based on coset codes
Arun Padakandla, Aria G. Sahebi, S. Sandeep Pradhan
We consider the problem of communication over a three user discrete memoryless interference channel (IC). The current known coding techniques for communicating over an arbitrar…
Nested Polar Codes Achieve the Shannon Rate-Distortion Function and the Shannon Capacity
Aria G. Sahebi, S. Sandeep Pradhan
It is shown that nested polar codes achieve the Shannon rate-distortion function for arbitrary (binary or non-binary) discrete memoryless sources and the Shannon capacity of arbitr…
Polar Codes for Some Multi-terminal Communications Problems
Aria G. Sahebi, S. Sandeep Pradhan
It is shown that polar coding schemes achieve the known achievable rate regions for several multi-terminal communications problems including lossy distributed source coding, multip…
Abelian Group Codes for Source Coding and Channel Coding
Aria G. Sahebi, S. Sandeep Pradhan
In this paper, we study the asymptotic performance of Abelian group codes for the lossy source coding problem for arbitrary discrete (finite alphabet) memoryless sources as well as…
Nested Lattice Codes for Arbitrary Continuous Sources and Channels
Aria G. Sahebi, S. Sandeep Pradhan
In this paper, we show that nested lattice codes achieve the capacity of arbitrary channels with or without non-casual state information at the transmitter. We also show that neste…
Asymptotically Good Codes Over Non-Abelian Groups
Aria G. Sahebi, S. Sandeep Pradhan
It has been shown that good structured codes over non-Abelian groups do exist. Specifically, we construct codes over the smallest non-Abelian group $\mathds{D}_6$ and show that the…