On the error detection capability of combined LDPC and CRC codes for space telecommand transmissions

We present a method for estimating the undetected error rate when a cyclic redundancy check (CRC) is performed on the output of the decoder of short low-density parity-check (LDPC) codes. This system is of interest for telecommand links, where new LDPC codes have been designed for updating the current standard. We show that these new LDPC codes combined with CRC are adequate for complying with the stringent requirements of this kind of transmissions in terms of error detection.

[1]  Jinghu Chen,et al.  Near optimum universal belief propagation based decoding of low-density parity check codes , 2002, IEEE Trans. Commun..

[2]  Joachim Hagenauer,et al.  Iterative decoding of binary block and convolutional codes , 1996, IEEE Trans. Inf. Theory.

[3]  Peter Grant,et al.  Digital Communications (3rd edition) , 2009 .

[4]  Evangelos Eleftheriou,et al.  On the computation of the minimum distance of low-density parity-check codes , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

[5]  Franco Chiaraluce,et al.  Error correcting codes in telecommand and telemetry for European Space Agency missions: An overview and new perspectives , 2014, 2014 22nd International Conference on Software, Telecommunications and Computer Networks (SoftCOM).

[6]  David Declercq,et al.  Improved impulse method to evaluate the low weight profile of sparse binary linear codes , 2008, 2008 IEEE International Symposium on Information Theory.

[7]  Hideki Imai,et al.  Reduced complexity iterative decoding of low-density parity check codes based on belief propagation , 1999, IEEE Trans. Commun..

[8]  Stefano Cioni,et al.  Analysis and performance evaluation of new coding options for space telecommand links - Part I: AWGN channels , 2015, Int. J. Satell. Commun. Netw..

[9]  William J. Barksdale.  Data Link Protocol , 1986 .

[10]  Shu Lin,et al.  Soft-decision decoding of linear block codes based on ordered statistics , 1994, IEEE Trans. Inf. Theory.