Canonical Conditions for K/2 Degrees of Freedom

Recep Gul; David Stotz; Syed Ali Jafar; Helmut Bolcskei; Shlomo Shamai

doi:10.1109/TIT.2021.3127236

Canonical Conditions for K/2 Degrees of Freedom

Recep Gul, David Stotz, Syed Ali Jafar, Helmut Bolcskei, Shlomo Shamai

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We present a condition for 1/2 degree of freedom for each user in constant K-user single-antenna interference channels. This condition is sufficient for all and necessary for almost all channel matrices. Moreover, it applies to all channel topologies, i.e., to fully-connected channels as well as channels that have individual links absent, reflected by corresponding zeros in the channel matrix. Moreover, it captures the essence of interference alignment by virtue of being expressed in terms of a generic injectivity condition that guarantees separability of signal and interference. Finally, we provide codebook constructions achieving 1/2 degree of freedom for each user for all channel matrices satisfying the condition we identified.

Original language	English
Pages (from-to)	1716-1730
Number of pages	15
Journal	IEEE Transactions on Information Theory
Volume	68
Issue number	3
DOIs	https://doi.org/10.1109/TIT.2021.3127236
State	Accepted/In press - 2021

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/TIT.2021.3127236

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title = "Canonical Conditions for K/2 Degrees of Freedom",

abstract = "We present a condition for 1/2 degree of freedom for each user in constant K-user single-antenna interference channels. This condition is sufficient for all and necessary for almost all channel matrices. Moreover, it applies to all channel topologies, i.e., to fully-connected channels as well as channels that have individual links absent, reflected by corresponding zeros in the channel matrix. Moreover, it captures the essence of interference alignment by virtue of being expressed in terms of a generic injectivity condition that guarantees separability of signal and interference. Finally, we provide codebook constructions achieving 1/2 degree of freedom for each user for all channel matrices satisfying the condition we identified.",

author = "Recep Gul and David Stotz and Jafar, {Syed Ali} and Helmut Bolcskei and Shlomo Shamai",

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T1 - Canonical Conditions for K/2 Degrees of Freedom

AU - Gul, Recep

AU - Stotz, David

AU - Jafar, Syed Ali

AU - Bolcskei, Helmut

AU - Shamai, Shlomo

N1 - Publisher Copyright: IEEE

PY - 2021

Y1 - 2021

N2 - We present a condition for 1/2 degree of freedom for each user in constant K-user single-antenna interference channels. This condition is sufficient for all and necessary for almost all channel matrices. Moreover, it applies to all channel topologies, i.e., to fully-connected channels as well as channels that have individual links absent, reflected by corresponding zeros in the channel matrix. Moreover, it captures the essence of interference alignment by virtue of being expressed in terms of a generic injectivity condition that guarantees separability of signal and interference. Finally, we provide codebook constructions achieving 1/2 degree of freedom for each user for all channel matrices satisfying the condition we identified.

AB - We present a condition for 1/2 degree of freedom for each user in constant K-user single-antenna interference channels. This condition is sufficient for all and necessary for almost all channel matrices. Moreover, it applies to all channel topologies, i.e., to fully-connected channels as well as channels that have individual links absent, reflected by corresponding zeros in the channel matrix. Moreover, it captures the essence of interference alignment by virtue of being expressed in terms of a generic injectivity condition that guarantees separability of signal and interference. Finally, we provide codebook constructions achieving 1/2 degree of freedom for each user for all channel matrices satisfying the condition we identified.

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DO - 10.1109/TIT.2021.3127236

M3 - مقالة

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EP - 1730

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 3

ER -

Canonical Conditions for K/2 Degrees of Freedom

Abstract

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