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CCSDS 131.1-O-2.pdf

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    AUTHORITY
    FOREWORD
    PREFACE
    DOCUMENT CONTROL
    CONTENTS
    1 INTRODUCTION
    1.1 APPLICABILITY AND SCOPE
    1.2 NOMENCLATURE
    1.3 CONVENTIONS
    1.4 REFERENCES
    2 LOW DENSITY PARITY CHECK CODE OPTIMIZED FOR NEAR EARTH APPLICATIONS
    2.1 OVERVIEW
    2.2 BASE (8176,7156) LDPC CODE
    2.3 ENCODING
    2.4 SHORTENED (8160, 7136) CODE
    2.5 RANDOMIZATION AND SYNCHRONIZATION
    3 LOW DENSITY PARITY CHECK CODE FAMILY OPTIMIZED FOR DEEP SPACE APPLICATIONS
    3.1 OVERVIEW
    3.2 SPECIFICATION
    3.3 PARITY CHECK MATRICES
    3.4 ENCODING
    3.5 SYNCHRONIZATION
    ANNEX A ANNEX TO SECTION 2,LOW DENSITY PARITY CHECK CODEOPTIMIZED FOR NEAR-EARTH APPLICATIONS
    ANNEX B ANNEX TO SECTION 3,LOW DENSITY PARITY CHECK CODE FAMILYOPTIMIZED FOR DEEP SPACE APPLICATIONS
    ANNEX C INFORMATIVE REFERENCES
    Research and Development for Space Data System Standards LOW DENSITY PARITY CHECK CODES FOR USE IN NEAR-EARTH AND DEEP SPACE APPLICATIONS EXPERIMENTAL SPECIFICATION CCSDS 131.1-O-2 September 2007
    Research and Development for Space Data System Standards LOW DENSITY PARITY CHECK CODES FOR USE IN NEAR-EARTH AND DEEP SPACE APPLICATIONS EXPERIMENTAL SPECIFICATION CCSDS 131.1-O-2 September 2007
    EXPERIMENTAL SPECIFICATION FOR LOW DENSITY PARITY CHECK CODES Issue: Date: Location: AUTHORITY Orange Book, Issue 2 September 2007 Washington, DC, USA This document has been approved for release by the Consultative Committee for Space Data Systems (CCSDS). The procedure for review and authorization of CCSDS documents is detailed in the Procedures Manual for the Consultative Committee for Space Data Systems. This document is published and maintained by: CCSDS Secretariat Space Communications and Navigation Office, 7L70 Space Operations Mission Directorate NASA Headquarters Washington, DC 20546-0001, USA CCSDS 131.1-O-2 Page i September 2007
    EXPERIMENTAL SPECIFICATION FOR LOW DENSITY PARITY CHECK CODES FOREWORD This document is a CCSDS Experimental specification for a set of Low Density Parity Check (LDPC) codes. It was contributed to CCSDS by NASA. Through the process of normal evolution, it is expected that expansion, deletion, or modification of this document may occur. This Experimental Specification is therefore subject to CCSDS document management and change control procedures, which are defined in the Procedures Manual for the Consultative Committee for Space Data Systems. Current versions of CCSDS documents are maintained at the CCSDS Web site: http://www.ccsds.org/ Questions relating to the contents or status of this document should be addressed to the CCSDS Secretariat at the address indicated on page i. CCSDS 131.1-O-2 Page ii September 2007
    EXPERIMENTAL SPECIFICATION FOR LOW DENSITY PARITY CHECK CODES At time of publication, the active Member and Observer Agencies of the CCSDS were: Member Agencies – Agenzia Spaziale Italiana (ASI)/Italy. – British National Space Centre (BNSC)/United Kingdom. – Canadian Space Agency (CSA)/Canada. – Centre National d’Etudes Spatiales (CNES)/France. – Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR)/Germany. – European Space Agency (ESA)/Europe. – Federal Space Agency (FSA)/Russian Federation. – – Japan Aerospace Exploration Agency (JAXA)/Japan. – National Aeronautics and Space Administration (NASA)/USA. Instituto Nacional de Pesquisas Espaciais (INPE)/Brazil. Observer Agencies – Austrian Space Agency (ASA)/Austria. – Belgian Federal Science Policy Office (BFSPO)/Belgium. – Central Research Institute of Machine Building (TsNIIMash)/Russian Federation. – Centro Tecnico Aeroespacial (CTA)/Brazil. – Chinese Academy of Sciences (CAS)/China. – Chinese Academy of Space Technology (CAST)/China. – Commonwealth Scientific and Industrial Research Organization (CSIRO)/Australia. – Danish National Space Center (DNSC)/Denmark. – European Organization for the Exploitation of Meteorological Satellites (EUMETSAT)/Europe. Indian Space Research Organization (ISRO)/India. Institute of Space Research (IKI)/Russian Federation. – European Telecommunications Satellite Organization (EUTELSAT)/Europe. – Hellenic National Space Committee (HNSC)/Greece. – – – KFKI Research Institute for Particle & Nuclear Physics (KFKI)/Hungary. – Korea Aerospace Research Institute (KARI)/Korea. – MIKOMTEK: CSIR (CSIR)/Republic of South Africa. – Ministry of Communications (MOC)/Israel. – National Institute of Information and Communications Technology (NICT)/Japan. – National Oceanic and Atmospheric Administration (NOAA)/USA. – National Space Organization (NSPO)/Taiwan. – Naval Center for Space Technology (NCST)/USA. – Space and Upper Atmosphere Research Commission (SUPARCO)/Pakistan. – Swedish Space Corporation (SSC)/Sweden. – United States Geological Survey (USGS)/USA. CCSDS 131.1-O-2 Page iii September 2007
    EXPERIMENTAL SPECIFICATION FOR LOW DENSITY PARITY CHECK CODES PREFACE This document is a CCSDS Experimental Specification. Its Experimental status indicates that it is part of a research or development effort based on prospective requirements, and as such it is not considered a Standards Track document. Experimental Specifications are intended to demonstrate technical feasibility in anticipation of a ‘hard’ requirement that has not yet emerged. Experimental work may be rapidly transferred onto the Standards Track should a hard requirement emerge in the future. CCSDS 131.1-O-2 Page iv September 2007
    EXPERIMENTAL SPECIFICATION FOR LOW DENSITY PARITY CHECK CODES DOCUMENT CONTROL Document CCSDS 131.1-O-1 CCSDS 131.1-O-2 Title Low Density Parity Check Codes for Use in Near-Earth and Deep Space Applications, Experimental Specification, Issue 1 Low Density Parity Check Codes for Use in Near-Earth and Deep Space Applications, Experimental Specification, Issue 2 EC 1 EC 2 Editorial Correction Editorial Correction Date August 2006 Status Original issue, superseded September 2007 October 2007 June 2008 Current issue: substantive changes from the original issue are indicated by change bars in the inside margin. Corrects erroneous value in table A-1. On page 2-7, last sentence, corrects reference to subsection of reference [1] from 6.6 to 6.3. CCSDS 131.1-O-2 Page v June 2008 September 2007
    EXPERIMENTAL SPECIFICATION FOR LOW DENSITY PARITY CHECK CODES Section Page CONTENTS 1 INTRODUCTION .......................................................................................................... 1-1 1.1 APPLICABILITY AND SCOPE ............................................................................ 1-1 1.2 NOMENCLATURE ............................................................................................... 1-2 1.3 CONVENTIONS .................................................................................................... 1-2 1.4 REFERENCES ....................................................................................................... 1-3 2 LOW DENSITY PARITY CHECK CODE OPTIMIZED FOR NEAR EARTH APPLICATIONS ........................................................................................................... 2-1 2.1 OVERVIEW ........................................................................................................... 2-1 2.2 BASE (8176,7156) LDPC CODE .......................................................................... 2-3 2.3 ENCODING ............................................................................................................ 2-5 2.4 SHORTENED (8160, 7136) CODE ....................................................................... 2-6 2.5 RANDOMIZATION AND SYNCHRONIZATION .............................................. 2-7 3 LOW DENSITY PARITY CHECK CODE FAMILY OPTIMIZED FOR DEEP SPACE APPLICATIONS ............................................................................................. 3-1 3.1 OVERVIEW ........................................................................................................... 3-1 3.2 SPECIFICATION ................................................................................................... 3-4 3.3 PARITY CHECK MATRICES .............................................................................. 3-5 3.4 ENCODING ............................................................................................................ 3-8 3.5 SYNCHRONIZATION ........................................................................................ 3-11 ANNEX A ANNEX TO SECTION 2, LOW DENSITY PARITY CHECK CODE OPTIMIZED FOR NEAR-EARTH APPLICATIONS ................. A-1 ANNEX B ANNEX TO SECTION 3, LOW DENSITY PARITY CHECK CODE FAMILY OPTIMIZED FOR DEEP SPACE APPLICATIONS ...B-1 ANNEX C INFORMATIVE REFERENCES ................................................................ C-1 Figure 1-1 Bit Numbering Convention ........................................................................................... 1-2 2-1 Example of a 15 × 15 Circulant Matrix ........................................................................ 2-2 2-2 Example of a Quasi-Cyclic Matrix ............................................................................... 2-2 2-3 Base Parity Check Matrix of the (8176, 7156) LDPC Code ........................................ 2-3 2-4 Scatter Chart of Parity Check Matrix ........................................................................... 2-3 2-5 Systematic Circulant Generator Matrix ........................................................................ 2-6 2-6 Shortened Codeword .................................................................................................... 2-7 CCSDS 131.1-O-2 Page vi September 2007
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