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The PPM Poisson Channel: Finite-Length Bounds and Code Design

Zabini, Flavio and Matuz, Balázs and Liva, Gianluigi and Paolini, Enrico and Chiani, Marco (2014) The PPM Poisson Channel: Finite-Length Bounds and Code Design. ISTC 2014, Bremen.

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Abstract

This work investigates the finite-length block error probability for the pulse position modulation (PPM) Poisson channel. Amongst, expressions for the Gallager random coding bound (RCB) and the Gaussian approximation of the converse theorem are derived. Likewise, we introduce an erasure channel (EC) approximation that allows the application of known EC bounds to the PPM Poisson channel by matching the channel capacities. We show that the derived benchmarks are not only simple to compute, but also accurate. Additionally, the design of protograph-based non-binary low-density parity-check (LDPC) codes for the (PPM) Poisson channel is addressed. The order q of the finite field is directly matched to the PPM order, so that no iterative message exchange between the decoder and the demodulator is required. The suggested design turns out to be robust w.r.t. different channel parameters, yielding performances within 0.5 dB from the theoretical benchmarks.

Item URL in elib:https://elib.dlr.de/91320/
Document Type:Conference or Workshop Item (Speech)
Title:The PPM Poisson Channel: Finite-Length Bounds and Code Design
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Zabini, FlavioUniversity of BolognaUNSPECIFIED
Matuz, BalázsDLRUNSPECIFIED
Liva, GianluigiDLRUNSPECIFIED
Paolini, EnricoUniversity of BolognaUNSPECIFIED
Chiani, MarcoUniversity of BolognaUNSPECIFIED
Date:August 2014
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Non-binary LDPC codes, Poisson PPM, finite-length bounds, optical communications
Event Title:ISTC 2014
Event Location:Bremen
Event Type:international Conference
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:air traffic management and operations
DLR - Research area:Aeronautics
DLR - Program:L AO - Air Traffic Management and Operation
DLR - Research theme (Project):L - Communication, Navigation and Surveillance
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Satellite Networks
Deposited By: Matuz, Balazs
Deposited On:27 Oct 2014 10:05
Last Modified:12 Feb 2015 09:47

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