Distortion limited amplify-and-forward relat networks and the epsilon-critical phase transition

We study amplify-and-forward (AF) relay networks operating with source and relay amplifier distortion, where the distortion dominates the noise power. The diversity order is shown to be 0 for fixed-gain (FG) and 1 for variable-gain (VG) if distortion occurs at the relay; if distortion occurs only at...

Full description

Bibliographic Details
Main Authors: Simmons, D, Coon, J
Format: Conference item
Published: Institute of Electrical and Electronics Engineers 2017
_version_ 1797063865493618688
author Simmons, D
Coon, J
author_facet Simmons, D
Coon, J
author_sort Simmons, D
collection OXFORD
description We study amplify-and-forward (AF) relay networks operating with source and relay amplifier distortion, where the distortion dominates the noise power. The diversity order is shown to be 0 for fixed-gain (FG) and 1 for variable-gain (VG) if distortion occurs at the relay; if distortion occurs only at the source, the diversity order will be 1 for both. With εβ = N0/ηβ (N0 the noise power, ηβ the distortion power at node β ∈ {S,R}, the source or relay), we demonstrate the emergence of what we call an ε-critical signal-to-noise plus distortion ratio (SNDR) threshold (a threshold that emerges when min{εβ} becomes small) for both forwarding protocols. We show that crossing this threshold in distortion limited regions will cause a phase transition (a dramatic drop) in the network’s outage probability. Thus, small reductions in the required end-to-end transmission rate can have significant reductions in the network’s outage probability.
first_indexed 2024-03-06T21:06:04Z
format Conference item
id oxford-uuid:3c80b42c-5e99-4306-b06f-d1e27c094d7f
institution University of Oxford
last_indexed 2024-03-06T21:06:04Z
publishDate 2017
publisher Institute of Electrical and Electronics Engineers
record_format dspace
spelling oxford-uuid:3c80b42c-5e99-4306-b06f-d1e27c094d7f2022-03-26T14:14:00ZDistortion limited amplify-and-forward relat networks and the epsilon-critical phase transitionConference itemhttp://purl.org/coar/resource_type/c_5794uuid:3c80b42c-5e99-4306-b06f-d1e27c094d7fSymplectic Elements at OxfordInstitute of Electrical and Electronics Engineers2017Simmons, DCoon, JWe study amplify-and-forward (AF) relay networks operating with source and relay amplifier distortion, where the distortion dominates the noise power. The diversity order is shown to be 0 for fixed-gain (FG) and 1 for variable-gain (VG) if distortion occurs at the relay; if distortion occurs only at the source, the diversity order will be 1 for both. With εβ = N0/ηβ (N0 the noise power, ηβ the distortion power at node β ∈ {S,R}, the source or relay), we demonstrate the emergence of what we call an ε-critical signal-to-noise plus distortion ratio (SNDR) threshold (a threshold that emerges when min{εβ} becomes small) for both forwarding protocols. We show that crossing this threshold in distortion limited regions will cause a phase transition (a dramatic drop) in the network’s outage probability. Thus, small reductions in the required end-to-end transmission rate can have significant reductions in the network’s outage probability.
spellingShingle Simmons, D
Coon, J
Distortion limited amplify-and-forward relat networks and the epsilon-critical phase transition
title Distortion limited amplify-and-forward relat networks and the epsilon-critical phase transition
title_full Distortion limited amplify-and-forward relat networks and the epsilon-critical phase transition
title_fullStr Distortion limited amplify-and-forward relat networks and the epsilon-critical phase transition
title_full_unstemmed Distortion limited amplify-and-forward relat networks and the epsilon-critical phase transition
title_short Distortion limited amplify-and-forward relat networks and the epsilon-critical phase transition
title_sort distortion limited amplify and forward relat networks and the epsilon critical phase transition
work_keys_str_mv AT simmonsd distortionlimitedamplifyandforwardrelatnetworksandtheepsiloncriticalphasetransition
AT coonj distortionlimitedamplifyandforwardrelatnetworksandtheepsiloncriticalphasetransition