EXPERIMENTAL SPECIFICATION FOR LOW DENSITY PARITY CHECK CODES
CONTENTS
Section Page
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