Expanding the compute-and-forward framework: Unequal powers, signal levels, and multiple linear combinations

B Nazer, VR Cadambe, V Ntranos… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The compute-and-forward framework permits each receiver in a Gaussian network to directly
decode a linear combination of the transmitted messages. The resulting linear combinations …

An algebraic and probabilistic framework for network information theory

SS Pradhan, A Padakandla… - Foundations and Trends …, 2020 - nowpublishers.com
In this monograph, we develop a mathematical framework based on asymptotically good
random structured codes, ie, codes possessing algebraic properties, for network information …

Distributed lossy computation with structured codes: from discrete to continuous sources

A Pastore, SH Lim, C Feng, B Nazer… - … on Information Theory …, 2023 - ieeexplore.ieee.org
This paper considers the problem of distributed lossy compression where the goal is to
recover one or more linear combinations of the sources at the decoder, subject to distortion …

A joint typicality approach to compute–forward

SH Lim, C Feng, A Pastore, B Nazer… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper presents a joint typicality framework for encoding and decoding nested linear
codes in multi-user networks. This framework provides a new perspective on compute …

Computing sum of sources over an arbitrary multiple access channel

A Padakandla, SS Pradhan - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
The problem of computing sum of sources over a multiple access channel (MAC) is
considered. Building on the technique of linear computation coding (LCC) proposed by …

An achievable rate region for the three-user interference channel based on coset codes

A Padakandla, AG Sahebi… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
We consider the problem of communication over a three-user discrete memoryless
interference channel (3-IC). The current known coding techniques for communicating over …

Compute-forward for DMCs: Simultaneous decoding of multiple combinations

SH Lim, C Feng, A Pastore, B Nazer… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Algebraic network information theory is an emerging facet of network information theory,
studying the achievable rates of random code ensembles that have algebraic structure, such …

A unified discretization approach to compute–forward: From discrete to continuous inputs

A Pastore, SH Lim, C Feng, B Nazer… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Compute–forward is a coding technique that enables receiver (s) in a network to directly
decode one or more linear combinations of the transmitted codewords. Initial efforts focused …

Achievable rate region for three user discrete broadcast channel based on coset codes

A Padakandla, SS Pradhan - IEEE Transactions on Information …, 2018 - ieeexplore.ieee.org
We consider the problem of developing coding techniques and deriving achievable rate
regions for discrete memoryless broadcast channels with three receivers (3-DBC). We begin …

A joint typicality approach to algebraic network information theory

SH Lim, C Feng, A Pastore, B Nazer… - arXiv preprint arXiv …, 2016 - arxiv.org
This paper presents a joint typicality framework for encoding and decoding nested linear
codes for multi-user networks. This framework provides a new perspective on compute …