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...
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Format: | Conference item |
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Institute of Electrical and Electronics Engineers
2017
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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 |