Unformatted text preview: t is n symbols
long. A ‘shortened’ code is created by taking only S (S < k) information symbols as input,
appending a fixed string of length k-S and then encoding in the normal way. This fixed
string is called ‘fill’. Since the fill is a predetermined sequence of symbols, it need not be
transmitted over the channel. Instead, the decoder appends the same fill sequence before
decoding. In this case, the fill is called ‘Virtual Fill’. CCSDS 131.0-B-2 Page D-4 August 2011 CCSDS RECOMMENDED STANDARD FOR TM SYNCHRONIZATION AND CHANNEL CODING ANNEX E
[E1] Procedures Manual for the Consultative Committee for Space Data Systems. CCSDS
A00.0-Y-9. Yellow Book. Issue 9. Washington, D.C.: CCSDS, November 2003.
[E2] Telemetry Channel Coding. Recommendation for Space Data System Standards,
CCSDS 101.0-B-6-S. Historical Recommendation. Issue 6-S. Washington, D.C.:
CCSDS, (October 2002) August 2005.
[E3] Advanced Orbiting Systems, Networks and Data Links: Architectural Specification.
Recommendation for Space Data System Standards, CCSDS 701.0-B-3-S. Historical
Recommendation. Issue 3-S. Washington, D.C.: CCSDS, (June 2001) August 2005.
[E4] M. Perlman and J. Lee. Reed-Solomon Encoders—Conventional vs. Berlekamp’s
Architecture. JPL Publication 82-71. Pasadena, California: NASA-Jet Propulsion
Laboratory, December 1982.
[E5] Mission Profiles for TM Synchronization and Channel Coding.
Recommendation for Space Data System Practices, CCSDS 131.4-W-0. White Book.
Issue 0. Washington, D.C.: CCSDS, Proposed.
NOTE – Normative references are listed in 1.7. CCSDS 131.0-B-2 Page E-1 August 2011 CCSDS RECOMMENDED STANDARD FOR TM SYNCHRONIZATION AND CHANNEL CODING ANNEX F
TRANSFORMATION BETWEEN BERLEKAMP
AND CONVENTIONAL REPRESENTATIONS
F1 PURPOSE This annex provides information to assist users of the Reed-Solomon code in this
Recommended Standard to transform between the Berlekamp (dual basis) and Conventional
representations. In addition, it shows where transformations are made to allow a
conventional encoder to produce the dual basis representation on whi...
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